LED: LED.nb

File LED.nb, 90.9 KB (added by Claude Duhr, 15 years ago)

Sample notebook

Line 
1(* Content-type: application/mathematica *)
2
3(*** Wolfram Notebook File ***)
4(* http://www.wolfram.com/nb *)
5
6(* CreatedBy='Mathematica 6.0' *)
7
8(*CacheID: 234*)
9(* Internal cache information:
10NotebookFileLineBreakTest
11NotebookFileLineBreakTest
12NotebookDataPosition[ 145, 7]
13NotebookDataLength[ 92901, 2900]
14NotebookOptionsPosition[ 89981, 2795]
15NotebookOutlinePosition[ 90409, 2814]
16CellTagsIndexPosition[ 90366, 2811]
17WindowFrame->Normal
18ContainsDynamic->False*)
19
20(* Beginning of Notebook Content *)
21Notebook[{
22
23Cell[CellGroupData[{
24Cell["The Large Extra dimensions Model", "Title",
25 CellChangeTimes->{{3.405054966614888*^9, 3.4050549767315893`*^9},
26 3.4529230123333807`*^9, {3.45405649584802*^9, 3.4540564997867126`*^9}, {
27 3.4540565705776033`*^9, 3.454056571055434*^9}, {3.454057181466007*^9,
28 3.454057182797702*^9}}],
29
30Cell[CellGroupData[{
31
32Cell["Load of the FeynRules package", "Section",
33 CellChangeTimes->{{3.452856941348258*^9, 3.452856954182706*^9}}],
34
35Cell[BoxData[
36 RowBox[{"Quit", "[", "]"}]], "Input",
37 CellChangeTimes->{{3.4521543016025457`*^9, 3.452154302750087*^9}}],
38
39Cell[BoxData[{
40 RowBox[{
41 RowBox[{"$FeynRulesPath", "=",
42 RowBox[{"SetDirectory", "[", "\"\<<address of the package>\>\"", "]"}]}],
43 ";"}], "\[IndentingNewLine]",
44 RowBox[{"<<", "FeynRules`"}], "\[IndentingNewLine]",
45 RowBox[{
46 RowBox[{"SetDirectory", "[",
47 RowBox[{"$FeynRulesPath", "<>", "\"\</Models/LED\>\""}], "]"}],
48 ";"}]}], "Input",
49 CellChangeTimes->{{3.41265862251538*^9, 3.412658649947229*^9}, {
50 3.423415585782702*^9, 3.423415597189939*^9}, {3.4234163173467493`*^9,
51 3.4234163227881193`*^9}, {3.453613499780509*^9, 3.453613524557995*^9}, {
52 3.454050520543564*^9, 3.454050533398179*^9}, {3.454056582682654*^9,
53 3.4540565840807753`*^9}, {3.454061008970613*^9, 3.4540610300313797`*^9},
54 3.4540621439628963`*^9}]
55}, Open ]],
56
57Cell[CellGroupData[{
58
59Cell["Load of the full LED model", "Section",
60 CellChangeTimes->{{3.452856959806845*^9, 3.452856965627877*^9}, {
61 3.454050557859632*^9, 3.454050559388439*^9}, {3.454062198742198*^9,
62 3.454062202491016*^9}}],
63
64Cell[CellGroupData[{
65
66Cell[BoxData[
67 RowBox[{"LoadModel", "[", "\"\<LED.fr\>\"", "]"}]], "Input",
68 CellChangeTimes->{{3.402749737680746*^9, 3.4027497378335543`*^9},
69 3.405009528824724*^9, 3.449909327040394*^9, 3.452152811321804*^9,
70 3.4529230123338823`*^9, 3.45405650276263*^9}],
71
72Cell[CellGroupData[{
73
74Cell[BoxData[
75 FormBox["\<\"This model implementation was created by\"\>",
76 TraditionalForm]], "Print",
77 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
78 3.454061211313333*^9, 3.454061645507628*^9}],
79
80Cell[BoxData[
81 FormBox["\<\"Priscila de Aquino\"\>", TraditionalForm]], "Print",
82 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
83 3.454061211313333*^9, 3.454061645522756*^9}],
84
85Cell[BoxData[
86 FormBox["\<\"Claude Duhr\"\>", TraditionalForm]], "Print",
87 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
88 3.454061211313333*^9, 3.454061645557837*^9}],
89
90Cell[BoxData[
91 FormBox[
92 InterpretationBox[
93 RowBox[{"\<\"Model Version: \"\>", "\[InvisibleSpace]", "\<\"1.0\"\>"}],
94 SequenceForm["Model Version: ", "1.0"],
95 Editable->False], TraditionalForm]], "Print",
96 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
97 3.454061211313333*^9, 3.454061645590395*^9}],
98
99Cell[BoxData[
100 FormBox["\<\"Please cite\"\>", TraditionalForm]], "Print",
101 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
102 3.454061211313333*^9, 3.454061645623332*^9}],
103
104Cell[BoxData[
105 FormBox["\<\"Phys. Rev. D59: 105006 (1999), hep-ph/9811350\"\>",
106 TraditionalForm]], "Print",
107 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
108 3.454061211313333*^9, 3.4540616456571903`*^9}],
109
110Cell[BoxData[
111 FormBox["\<\"Nucl. Phys. B544 (1999), hep-ph/9811291\"\>",
112 TraditionalForm]], "Print",
113 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
114 3.454061211313333*^9, 3.454061645690363*^9}],
115
116Cell[BoxData[
117 FormBox["\<\"Eur. Phys. J. C56 (2008), hep-ph/0805.2554\"\>",
118 TraditionalForm]], "Print",
119 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
120 3.454061211313333*^9, 3.4540616457235813`*^9}],
121
122Cell[BoxData[
123 FormBox["\<\"http://feynrules.phys.ucl.ac.be/view/Main/LED\"\>",
124 TraditionalForm]], "Print",
125 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
126 3.454061211313333*^9, 3.454061645756584*^9}],
127
128Cell[BoxData[
129 FormBox["\<\"For more information, type ModelInformation[].\"\>",
130 TraditionalForm]], "Print",
131 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
132 3.454061211313333*^9, 3.45406164578946*^9}],
133
134Cell[BoxData[
135 FormBox["\<\"\"\>", TraditionalForm]], "Print",
136 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
137 3.454061211313333*^9, 3.4540616458229923`*^9}],
138
139Cell[BoxData[
140 FormBox["\<\" - Loading particle classes.\"\>", TraditionalForm]], "Print",\
141
142 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
143 3.454061211313333*^9, 3.454061645857395*^9}],
144
145Cell[BoxData[
146 FormBox["\<\" - Loading gauge group classes.\"\>",
147 TraditionalForm]], "Print",
148 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
149 3.454061211313333*^9, 3.454061645889122*^9}],
150
151Cell[BoxData[
152 FormBox["\<\" - Loading parameter classes.\"\>", TraditionalForm]], "Print",\
153
154 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
155 3.454061211313333*^9, 3.454061645922811*^9}],
156
157Cell[BoxData[
158 FormBox[
159 InterpretationBox[
160 RowBox[{"\<\"\\nModel \"\>", "\[InvisibleSpace]", "\<\"LED\"\>",
161 "\[InvisibleSpace]", "\<\" loaded.\"\>"}],
162 SequenceForm["\nModel ", "LED", " loaded."],
163 Editable->False], TraditionalForm]], "Print",
164 CellChangeTimes->{{3.454061149331262*^9, 3.454061153172738*^9},
165 3.454061211313333*^9, 3.454061645963604*^9}]
166}, Open ]]
167}, Open ]]
168}, Open ]],
169
170Cell[CellGroupData[{
171
172Cell["The full LED lagrangian", "Section",
173 CellChangeTimes->{{3.411910065227421*^9, 3.411910071535137*^9}, {
174 3.4540507294896593`*^9, 3.4540507310208197`*^9}, {3.4540567139322166`*^9,
175 3.454056718777896*^9}}],
176
177Cell[CellGroupData[{
178
179Cell["Gauge sector", "Subsubsection",
180 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
181 3.454057138248085*^9, 3.454057139479412*^9}}],
182
183Cell[CellGroupData[{
184
185Cell[BoxData["LagG"], "Input",
186 CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
187 3.454050790694797*^9, 3.454050807408856*^9}, 3.454052286514977*^9, {
188 3.454057086606534*^9, 3.4540570873864717`*^9}, 3.454061218230431*^9}],
189
190Cell[BoxData[
191 FormBox[
192 RowBox[{
193 RowBox[{"-",
194 FractionBox["1", "2"]}], " ",
195 FormBox["\[Kappa]",
196 TraditionalForm], " ",
197 RowBox[{
198 FormBox[
199 SubscriptBox["h",
200 RowBox[{
201 FormBox["\[Mu]",
202 TraditionalForm], ",",
203 FormBox["\[Nu]",
204 TraditionalForm]}]],
205 TraditionalForm], ".",
206 RowBox[{"(",
207 RowBox[{
208 RowBox[{
209 RowBox[{"-",
210 RowBox[{"(",
211 RowBox[{
212 FormBox[
213 RowBox[{
214 SubscriptBox["\<\"\[PartialD]\"\>",
215 FormBox["\[Mu]",
216 TraditionalForm]], "(",
217 FormBox[
218 SubscriptBox["B",
219 FormBox["\[Rho]",
220 TraditionalForm]],
221 TraditionalForm], ")"}],
222 TraditionalForm], "-",
223 FormBox[
224 RowBox[{
225 SubscriptBox["\<\"\[PartialD]\"\>",
226 FormBox["\[Rho]",
227 TraditionalForm]], "(",
228 FormBox[
229 SubscriptBox["B",
230 FormBox["\[Mu]",
231 TraditionalForm]],
232 TraditionalForm], ")"}],
233 TraditionalForm]}], ")"}]}], " ",
234 RowBox[{"(",
235 RowBox[{
236 FormBox[
237 RowBox[{
238 SubscriptBox["\<\"\[PartialD]\"\>",
239 FormBox["\[Nu]",
240 TraditionalForm]], "(",
241 FormBox[
242 SubscriptBox["B",
243 FormBox["\[Rho]",
244 TraditionalForm]],
245 TraditionalForm], ")"}],
246 TraditionalForm], "-",
247 FormBox[
248 RowBox[{
249 SubscriptBox["\<\"\[PartialD]\"\>",
250 FormBox["\[Rho]",
251 TraditionalForm]], "(",
252 FormBox[
253 SubscriptBox["B",
254 FormBox["\[Nu]",
255 TraditionalForm]],
256 TraditionalForm], ")"}],
257 TraditionalForm]}], ")"}]}], "-",
258 RowBox[{
259 FormBox[
260 SubscriptBox["\[Eta]",
261 RowBox[{
262 FormBox[
263 FormBox["\[Mu]",
264 TraditionalForm],
265 TraditionalForm], ",",
266 FormBox[
267 FormBox["\[Nu]",
268 TraditionalForm],
269 TraditionalForm]}]],
270 TraditionalForm], ".",
271 RowBox[{"(",
272 RowBox[{
273 RowBox[{
274 RowBox[{"-",
275 FractionBox["1", "4"]}], " ",
276 SuperscriptBox[
277 RowBox[{"(",
278 RowBox[{
279 FormBox[
280 RowBox[{
281 SubscriptBox["\<\"\[PartialD]\"\>",
282 FormBox["\[Rho]",
283 TraditionalForm]], "(",
284 FormBox[
285 SubscriptBox["B", "sig"],
286 TraditionalForm], ")"}],
287 TraditionalForm], "-",
288 FormBox[
289 RowBox[{
290 SubscriptBox["\<\"\[PartialD]\"\>", "sig"], "(",
291 FormBox[
292 SubscriptBox["B",
293 FormBox["\[Rho]",
294 TraditionalForm]],
295 TraditionalForm], ")"}],
296 TraditionalForm]}], ")"}], "2"]}], "-",
297 RowBox[{
298 FractionBox["1", "4"], " ",
299 RowBox[{"(",
300 RowBox[{
301 RowBox[{"-",
302 FormBox[
303 RowBox[{
304 SubscriptBox["\<\"\[PartialD]\"\>", "sig"], "(",
305 FormBox[
306 SubscriptBox["G",
307 RowBox[{
308 FormBox["\[Rho]",
309 TraditionalForm], ",", "a1"}]],
310 TraditionalForm], ")"}],
311 TraditionalForm]}], "+",
312 FormBox[
313 RowBox[{
314 SubscriptBox["\<\"\[PartialD]\"\>",
315 FormBox["\[Rho]",
316 TraditionalForm]], "(",
317 FormBox[
318 SubscriptBox["G",
319 RowBox[{"sig", ",", "a1"}]],
320 TraditionalForm], ")"}],
321 TraditionalForm], "+",
322 RowBox[{
323 FormBox[
324 SubscriptBox["g", "s"],
325 TraditionalForm], " ",
326 FormBox[
327 SubscriptBox["f",
328 RowBox[{"a1", ",", "a2", ",", "a3"}]],
329 TraditionalForm], " ",
330 FormBox[
331 SubscriptBox["G",
332 RowBox[{
333 FormBox["\[Rho]",
334 TraditionalForm], ",", "a2"}]],
335 TraditionalForm], " ",
336 FormBox[
337 SubscriptBox["G",
338 RowBox[{"sig", ",", "a3"}]],
339 TraditionalForm]}]}], ")"}], " ",
340 RowBox[{"(",
341 RowBox[{
342 RowBox[{"-",
343 FormBox[
344 RowBox[{
345 SubscriptBox["\<\"\[PartialD]\"\>", "sig"], "(",
346 FormBox[
347 SubscriptBox["G",
348 RowBox[{
349 FormBox["\[Rho]",
350 TraditionalForm], ",", "a1"}]],
351 TraditionalForm], ")"}],
352 TraditionalForm]}], "+",
353 FormBox[
354 RowBox[{
355 SubscriptBox["\<\"\[PartialD]\"\>",
356 FormBox["\[Rho]",
357 TraditionalForm]], "(",
358 FormBox[
359 SubscriptBox["G",
360 RowBox[{"sig", ",", "a1"}]],
361 TraditionalForm], ")"}],
362 TraditionalForm], "+",
363 RowBox[{
364 FormBox[
365 SubscriptBox["g", "s"],
366 TraditionalForm], " ",
367 FormBox[
368 SubscriptBox["f",
369 RowBox[{"a1", ",", "a4", ",", "a5"}]],
370 TraditionalForm], " ",
371 FormBox[
372 SubscriptBox["G",
373 RowBox[{
374 FormBox["\[Rho]",
375 TraditionalForm], ",", "a4"}]],
376 TraditionalForm], " ",
377 FormBox[
378 SubscriptBox["G",
379 RowBox[{"sig", ",", "a5"}]],
380 TraditionalForm]}]}], ")"}]}], "-",
381 RowBox[{
382 FractionBox["1", "4"], " ",
383 RowBox[{"(",
384 RowBox[{
385 RowBox[{"-",
386 FormBox[
387 RowBox[{
388 SubscriptBox["\<\"\[PartialD]\"\>", "sig"], "(",
389 FormBox[
390 SubscriptBox["Wi",
391 RowBox[{
392 FormBox["\[Rho]",
393 TraditionalForm], ",", "i1"}]],
394 TraditionalForm], ")"}],
395 TraditionalForm]}], "+",
396 FormBox[
397 RowBox[{
398 SubscriptBox["\<\"\[PartialD]\"\>",
399 FormBox["\[Rho]",
400 TraditionalForm]], "(",
401 FormBox[
402 SubscriptBox["Wi",
403 RowBox[{"sig", ",", "i1"}]],
404 TraditionalForm], ")"}],
405 TraditionalForm], "+",
406 FractionBox[
407 RowBox[{
408 FormBox["e",
409 TraditionalForm], " ",
410 FormBox[
411 SubscriptBox["\[Epsilon]",
412 RowBox[{"i1", ",", "i2", ",", "i3"}]],
413 TraditionalForm], " ",
414 FormBox[
415 SubscriptBox["Wi",
416 RowBox[{
417 FormBox["\[Rho]",
418 TraditionalForm], ",", "i2"}]],
419 TraditionalForm], " ",
420 FormBox[
421 SubscriptBox["Wi",
422 RowBox[{"sig", ",", "i3"}]],
423 TraditionalForm]}],
424 FormBox[
425 SubscriptBox["s", "w"],
426 TraditionalForm]]}], ")"}], " ",
427 RowBox[{"(",
428 RowBox[{
429 RowBox[{"-",
430 FormBox[
431 RowBox[{
432 SubscriptBox["\<\"\[PartialD]\"\>", "sig"], "(",
433 FormBox[
434 SubscriptBox["Wi",
435 RowBox[{
436 FormBox["\[Rho]",
437 TraditionalForm], ",", "i1"}]],
438 TraditionalForm], ")"}],
439 TraditionalForm]}], "+",
440 FormBox[
441 RowBox[{
442 SubscriptBox["\<\"\[PartialD]\"\>",
443 FormBox["\[Rho]",
444 TraditionalForm]], "(",
445 FormBox[
446 SubscriptBox["Wi",
447 RowBox[{"sig", ",", "i1"}]],
448 TraditionalForm], ")"}],
449 TraditionalForm], "+",
450 FractionBox[
451 RowBox[{
452 FormBox["e",
453 TraditionalForm], " ",
454 FormBox[
455 SubscriptBox["\[Epsilon]",
456 RowBox[{"i1", ",", "i4", ",", "i5"}]],
457 TraditionalForm], " ",
458 FormBox[
459 SubscriptBox["Wi",
460 RowBox[{
461 FormBox["\[Rho]",
462 TraditionalForm], ",", "i4"}]],
463 TraditionalForm], " ",
464 FormBox[
465 SubscriptBox["Wi",
466 RowBox[{"sig", ",", "i5"}]],
467 TraditionalForm]}],
468 FormBox[
469 SubscriptBox["s", "w"],
470 TraditionalForm]]}], ")"}]}]}], ")"}]}], "-",
471 RowBox[{
472 RowBox[{"(",
473 RowBox[{
474 RowBox[{"-",
475 FormBox[
476 RowBox[{
477 SubscriptBox["\<\"\[PartialD]\"\>",
478 FormBox["\[Rho]",
479 TraditionalForm]], "(",
480 FormBox[
481 SubscriptBox["G",
482 RowBox[{
483 FormBox["\[Mu]",
484 TraditionalForm], ",", "a1"}]],
485 TraditionalForm], ")"}],
486 TraditionalForm]}], "+",
487 FormBox[
488 RowBox[{
489 SubscriptBox["\<\"\[PartialD]\"\>",
490 FormBox["\[Mu]",
491 TraditionalForm]], "(",
492 FormBox[
493 SubscriptBox["G",
494 RowBox[{
495 FormBox["\[Rho]",
496 TraditionalForm], ",", "a1"}]],
497 TraditionalForm], ")"}],
498 TraditionalForm], "+",
499 RowBox[{
500 FormBox[
501 SubscriptBox["g", "s"],
502 TraditionalForm], " ",
503 FormBox[
504 SubscriptBox["f",
505 RowBox[{"a1", ",", "a2", ",", "a3"}]],
506 TraditionalForm], " ",
507 FormBox[
508 SubscriptBox["G",
509 RowBox[{
510 FormBox["\[Mu]",
511 TraditionalForm], ",", "a2"}]],
512 TraditionalForm], " ",
513 FormBox[
514 SubscriptBox["G",
515 RowBox[{
516 FormBox["\[Rho]",
517 TraditionalForm], ",", "a3"}]],
518 TraditionalForm]}]}], ")"}], " ",
519 RowBox[{"(",
520 RowBox[{
521 RowBox[{"-",
522 FormBox[
523 RowBox[{
524 SubscriptBox["\<\"\[PartialD]\"\>",
525 FormBox["\[Rho]",
526 TraditionalForm]], "(",
527 FormBox[
528 SubscriptBox["G",
529 RowBox[{
530 FormBox["\[Nu]",
531 TraditionalForm], ",", "a1"}]],
532 TraditionalForm], ")"}],
533 TraditionalForm]}], "+",
534 FormBox[
535 RowBox[{
536 SubscriptBox["\<\"\[PartialD]\"\>",
537 FormBox["\[Nu]",
538 TraditionalForm]], "(",
539 FormBox[
540 SubscriptBox["G",
541 RowBox[{
542 FormBox["\[Rho]",
543 TraditionalForm], ",", "a1"}]],
544 TraditionalForm], ")"}],
545 TraditionalForm], "+",
546 RowBox[{
547 FormBox[
548 SubscriptBox["g", "s"],
549 TraditionalForm], " ",
550 FormBox[
551 SubscriptBox["f",
552 RowBox[{"a1", ",", "a2", ",", "a3"}]],
553 TraditionalForm], " ",
554 FormBox[
555 SubscriptBox["G",
556 RowBox[{
557 FormBox["\[Nu]",
558 TraditionalForm], ",", "a2"}]],
559 TraditionalForm], " ",
560 FormBox[
561 SubscriptBox["G",
562 RowBox[{
563 FormBox["\[Rho]",
564 TraditionalForm], ",", "a3"}]],
565 TraditionalForm]}]}], ")"}]}], "-",
566 RowBox[{
567 RowBox[{"(",
568 RowBox[{
569 RowBox[{"-",
570 FormBox[
571 RowBox[{
572 SubscriptBox["\<\"\[PartialD]\"\>",
573 FormBox["\[Rho]",
574 TraditionalForm]], "(",
575 FormBox[
576 SubscriptBox["Wi",
577 RowBox[{
578 FormBox["\[Mu]",
579 TraditionalForm], ",", "i1"}]],
580 TraditionalForm], ")"}],
581 TraditionalForm]}], "+",
582 FormBox[
583 RowBox[{
584 SubscriptBox["\<\"\[PartialD]\"\>",
585 FormBox["\[Mu]",
586 TraditionalForm]], "(",
587 FormBox[
588 SubscriptBox["Wi",
589 RowBox[{
590 FormBox["\[Rho]",
591 TraditionalForm], ",", "i1"}]],
592 TraditionalForm], ")"}],
593 TraditionalForm], "+",
594 FractionBox[
595 RowBox[{
596 FormBox["e",
597 TraditionalForm], " ",
598 FormBox[
599 SubscriptBox["\[Epsilon]",
600 RowBox[{"i1", ",", "i2", ",", "i3"}]],
601 TraditionalForm], " ",
602 FormBox[
603 SubscriptBox["Wi",
604 RowBox[{
605 FormBox["\[Mu]",
606 TraditionalForm], ",", "i2"}]],
607 TraditionalForm], " ",
608 FormBox[
609 SubscriptBox["Wi",
610 RowBox[{
611 FormBox["\[Rho]",
612 TraditionalForm], ",", "i3"}]],
613 TraditionalForm]}],
614 FormBox[
615 SubscriptBox["s", "w"],
616 TraditionalForm]]}], ")"}], " ",
617 RowBox[{"(",
618 RowBox[{
619 RowBox[{"-",
620 FormBox[
621 RowBox[{
622 SubscriptBox["\<\"\[PartialD]\"\>",
623 FormBox["\[Rho]",
624 TraditionalForm]], "(",
625 FormBox[
626 SubscriptBox["Wi",
627 RowBox[{
628 FormBox["\[Nu]",
629 TraditionalForm], ",", "i1"}]],
630 TraditionalForm], ")"}],
631 TraditionalForm]}], "+",
632 FormBox[
633 RowBox[{
634 SubscriptBox["\<\"\[PartialD]\"\>",
635 FormBox["\[Nu]",
636 TraditionalForm]], "(",
637 FormBox[
638 SubscriptBox["Wi",
639 RowBox[{
640 FormBox["\[Rho]",
641 TraditionalForm], ",", "i1"}]],
642 TraditionalForm], ")"}],
643 TraditionalForm], "+",
644 FractionBox[
645 RowBox[{
646 FormBox["e",
647 TraditionalForm], " ",
648 FormBox[
649 SubscriptBox["\[Epsilon]",
650 RowBox[{"i1", ",", "i4", ",", "i5"}]],
651 TraditionalForm], " ",
652 FormBox[
653 SubscriptBox["Wi",
654 RowBox[{
655 FormBox["\[Nu]",
656 TraditionalForm], ",", "i4"}]],
657 TraditionalForm], " ",
658 FormBox[
659 SubscriptBox["Wi",
660 RowBox[{
661 FormBox["\[Rho]",
662 TraditionalForm], ",", "i5"}]],
663 TraditionalForm]}],
664 FormBox[
665 SubscriptBox["s", "w"],
666 TraditionalForm]]}], ")"}]}]}], ")"}]}]}],
667 TraditionalForm]], "Output",
668 CellChangeTimes->{3.4540612188923187`*^9}]
669}, Closed]]
670}, Open ]],
671
672Cell[CellGroupData[{
673
674Cell["Scalar sector", "Subsubsection",
675 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
676 3.411910274288354*^9, 3.41191027703699*^9}}],
677
678Cell[CellGroupData[{
679
680Cell[BoxData["LagH"], "Input",
681 CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
682 3.411910290186841*^9, 3.411910292005392*^9}, 3.454052293282386*^9, {
683 3.454057094128326*^9, 3.454057094642251*^9}, 3.45406122079182*^9}],
684
685Cell[BoxData[
686 FormBox[
687 RowBox[{
688 RowBox[{"-",
689 FractionBox["1", "2"]}], " ",
690 FormBox["\[Kappa]",
691 TraditionalForm], " ",
692 RowBox[{
693 FormBox[
694 SubscriptBox["h",
695 RowBox[{
696 FormBox["\[Mu]",
697 TraditionalForm], ",",
698 FormBox["\[Nu]",
699 TraditionalForm]}]],
700 TraditionalForm], ".",
701 RowBox[{"(",
702 RowBox[{
703 RowBox[{
704 RowBox[{"-",
705 FractionBox["1", "4"]}], " ", "\[Lambda]", " ",
706 SuperscriptBox[
707 RowBox[{"(",
708 RowBox[{"H", "+", "v"}], ")"}], "4"]}], "+",
709 RowBox[{
710 FractionBox["1", "2"], " ",
711 SuperscriptBox[
712 FormBox["\[Mu]",
713 TraditionalForm], "2"], " ",
714 SuperscriptBox[
715 RowBox[{"(",
716 RowBox[{"H", "+", "v"}], ")"}], "2"]}], "+",
717 FractionBox[
718 RowBox[{
719 SuperscriptBox[
720 FormBox["e",
721 TraditionalForm], "2"], " ",
722 RowBox[{"(",
723 RowBox[{
724 FormBox[
725 SubscriptBox["Wi",
726 RowBox[{
727 FormBox["\[Mu]",
728 TraditionalForm], ",", "1"}]],
729 TraditionalForm], "+",
730 RowBox[{"\[ImaginaryI]", " ",
731 FormBox[
732 SubscriptBox["Wi",
733 RowBox[{
734 FormBox["\[Mu]",
735 TraditionalForm], ",", "2"}]],
736 TraditionalForm]}]}], ")"}], " ",
737 RowBox[{"(",
738 RowBox[{
739 FormBox[
740 SubscriptBox["Wi",
741 RowBox[{
742 FormBox["\[Nu]",
743 TraditionalForm], ",", "1"}]],
744 TraditionalForm], "-",
745 RowBox[{"\[ImaginaryI]", " ",
746 FormBox[
747 SubscriptBox["Wi",
748 RowBox[{
749 FormBox["\[Nu]",
750 TraditionalForm], ",", "2"}]],
751 TraditionalForm]}]}], ")"}], " ",
752 SuperscriptBox[
753 RowBox[{"(",
754 RowBox[{"H", "+", "v"}], ")"}], "2"]}],
755 RowBox[{"8", " ",
756 SuperscriptBox[
757 FormBox[
758 SubscriptBox["s", "w"],
759 TraditionalForm], "2"]}]], "+",
760 FractionBox[
761 RowBox[{
762 SuperscriptBox[
763 FormBox["e",
764 TraditionalForm], "2"], " ",
765 RowBox[{"(",
766 RowBox[{
767 FormBox[
768 SubscriptBox["Wi",
769 RowBox[{
770 FormBox["\[Mu]",
771 TraditionalForm], ",", "1"}]],
772 TraditionalForm], "-",
773 RowBox[{"\[ImaginaryI]", " ",
774 FormBox[
775 SubscriptBox["Wi",
776 RowBox[{
777 FormBox["\[Mu]",
778 TraditionalForm], ",", "2"}]],
779 TraditionalForm]}]}], ")"}], " ",
780 RowBox[{"(",
781 RowBox[{
782 FormBox[
783 SubscriptBox["Wi",
784 RowBox[{
785 FormBox["\[Nu]",
786 TraditionalForm], ",", "1"}]],
787 TraditionalForm], "+",
788 RowBox[{"\[ImaginaryI]", " ",
789 FormBox[
790 SubscriptBox["Wi",
791 RowBox[{
792 FormBox["\[Nu]",
793 TraditionalForm], ",", "2"}]],
794 TraditionalForm]}]}], ")"}], " ",
795 SuperscriptBox[
796 RowBox[{"(",
797 RowBox[{"H", "+", "v"}], ")"}], "2"]}],
798 RowBox[{"8", " ",
799 SuperscriptBox[
800 FormBox[
801 SubscriptBox["s", "w"],
802 TraditionalForm], "2"]}]], "-",
803 RowBox[{
804 FormBox[
805 SubscriptBox["\[Eta]",
806 RowBox[{
807 FormBox[
808 FormBox["\[Mu]",
809 TraditionalForm],
810 TraditionalForm], ",",
811 FormBox[
812 FormBox["\[Nu]",
813 TraditionalForm],
814 TraditionalForm]}]],
815 TraditionalForm], ".",
816 RowBox[{"(",
817 RowBox[{
818 FractionBox[
819 RowBox[{
820 SuperscriptBox[
821 FormBox["e",
822 TraditionalForm], "2"], " ",
823 RowBox[{"(",
824 RowBox[{
825 FormBox[
826 SubscriptBox["Wi",
827 RowBox[{
828 FormBox["\[Rho]",
829 TraditionalForm], ",", "1"}]],
830 TraditionalForm], "-",
831 RowBox[{"\[ImaginaryI]", " ",
832 FormBox[
833 SubscriptBox["Wi",
834 RowBox[{
835 FormBox["\[Rho]",
836 TraditionalForm], ",", "2"}]],
837 TraditionalForm]}]}], ")"}], " ",
838 RowBox[{"(",
839 RowBox[{
840 FormBox[
841 SubscriptBox["Wi",
842 RowBox[{
843 FormBox["\[Rho]",
844 TraditionalForm], ",", "1"}]],
845 TraditionalForm], "+",
846 RowBox[{"\[ImaginaryI]", " ",
847 FormBox[
848 SubscriptBox["Wi",
849 RowBox[{
850 FormBox["\[Rho]",
851 TraditionalForm], ",", "2"}]],
852 TraditionalForm]}]}], ")"}], " ",
853 SuperscriptBox[
854 RowBox[{"(",
855 RowBox[{"H", "+", "v"}], ")"}], "2"]}],
856 RowBox[{"8", " ",
857 SuperscriptBox[
858 FormBox[
859 SubscriptBox["s", "w"],
860 TraditionalForm], "2"]}]], "+",
861 RowBox[{
862 RowBox[{"(",
863 RowBox[{
864 FractionBox[
865 RowBox[{
866 FormBox["e",
867 TraditionalForm], " ",
868 RowBox[{"(",
869 RowBox[{"H", "+", "v"}], ")"}], " ",
870 FormBox[
871 SubscriptBox["B",
872 FormBox["\[Rho]",
873 TraditionalForm]],
874 TraditionalForm]}],
875 RowBox[{"2", " ",
876 SqrtBox["2"], " ",
877 FormBox[
878 SubscriptBox["c", "w"],
879 TraditionalForm]}]], "-",
880 FractionBox[
881 RowBox[{"\[ImaginaryI]", " ",
882 FormBox[
883 RowBox[{
884 SubscriptBox["\<\"\[PartialD]\"\>",
885 FormBox["\[Rho]",
886 TraditionalForm]], "(", "H", ")"}],
887 TraditionalForm]}],
888 SqrtBox["2"]], "-",
889 FractionBox[
890 RowBox[{
891 FormBox["e",
892 TraditionalForm], " ",
893 RowBox[{"(",
894 RowBox[{"H", "+", "v"}], ")"}], " ",
895 FormBox[
896 SubscriptBox["Wi",
897 RowBox[{
898 FormBox["\[Rho]",
899 TraditionalForm], ",", "3"}]],
900 TraditionalForm]}],
901 RowBox[{"2", " ",
902 SqrtBox["2"], " ",
903 FormBox[
904 SubscriptBox["s", "w"],
905 TraditionalForm]}]]}], ")"}], " ",
906 RowBox[{"(",
907 RowBox[{
908 FractionBox[
909 RowBox[{
910 FormBox["e",
911 TraditionalForm], " ",
912 RowBox[{"(",
913 RowBox[{"H", "+", "v"}], ")"}], " ",
914 FormBox[
915 SubscriptBox["B",
916 FormBox["\[Rho]",
917 TraditionalForm]],
918 TraditionalForm]}],
919 RowBox[{"2", " ",
920 SqrtBox["2"], " ",
921 FormBox[
922 SubscriptBox["c", "w"],
923 TraditionalForm]}]], "+",
924 FractionBox[
925 RowBox[{"\[ImaginaryI]", " ",
926 FormBox[
927 RowBox[{
928 SubscriptBox["\<\"\[PartialD]\"\>",
929 FormBox["\[Rho]",
930 TraditionalForm]], "(", "H", ")"}],
931 TraditionalForm]}],
932 SqrtBox["2"]], "-",
933 FractionBox[
934 RowBox[{
935 FormBox["e",
936 TraditionalForm], " ",
937 RowBox[{"(",
938 RowBox[{"H", "+", "v"}], ")"}], " ",
939 FormBox[
940 SubscriptBox["Wi",
941 RowBox[{
942 FormBox["\[Rho]",
943 TraditionalForm], ",", "3"}]],
944 TraditionalForm]}],
945 RowBox[{"2", " ",
946 SqrtBox["2"], " ",
947 FormBox[
948 SubscriptBox["s", "w"],
949 TraditionalForm]}]]}], ")"}]}]}], ")"}]}], "+",
950 RowBox[{
951 RowBox[{"(",
952 RowBox[{
953 FractionBox[
954 RowBox[{
955 FormBox["e",
956 TraditionalForm], " ",
957 RowBox[{"(",
958 RowBox[{"H", "+", "v"}], ")"}], " ",
959 FormBox[
960 SubscriptBox["B",
961 FormBox["\[Mu]",
962 TraditionalForm]],
963 TraditionalForm]}],
964 RowBox[{"2", " ",
965 SqrtBox["2"], " ",
966 FormBox[
967 SubscriptBox["c", "w"],
968 TraditionalForm]}]], "+",
969 FractionBox[
970 RowBox[{"\[ImaginaryI]", " ",
971 FormBox[
972 RowBox[{
973 SubscriptBox["\<\"\[PartialD]\"\>",
974 FormBox["\[Mu]",
975 TraditionalForm]], "(", "H", ")"}],
976 TraditionalForm]}],
977 SqrtBox["2"]], "-",
978 FractionBox[
979 RowBox[{
980 FormBox["e",
981 TraditionalForm], " ",
982 RowBox[{"(",
983 RowBox[{"H", "+", "v"}], ")"}], " ",
984 FormBox[
985 SubscriptBox["Wi",
986 RowBox[{
987 FormBox["\[Mu]",
988 TraditionalForm], ",", "3"}]],
989 TraditionalForm]}],
990 RowBox[{"2", " ",
991 SqrtBox["2"], " ",
992 FormBox[
993 SubscriptBox["s", "w"],
994 TraditionalForm]}]]}], ")"}], " ",
995 RowBox[{"(",
996 RowBox[{
997 FractionBox[
998 RowBox[{
999 FormBox["e",
1000 TraditionalForm], " ",
1001 RowBox[{"(",
1002 RowBox[{"H", "+", "v"}], ")"}], " ",
1003 FormBox[
1004 SubscriptBox["B",
1005 FormBox["\[Nu]",
1006 TraditionalForm]],
1007 TraditionalForm]}],
1008 RowBox[{"2", " ",
1009 SqrtBox["2"], " ",
1010 FormBox[
1011 SubscriptBox["c", "w"],
1012 TraditionalForm]}]], "-",
1013 FractionBox[
1014 RowBox[{"\[ImaginaryI]", " ",
1015 FormBox[
1016 RowBox[{
1017 SubscriptBox["\<\"\[PartialD]\"\>",
1018 FormBox["\[Nu]",
1019 TraditionalForm]], "(", "H", ")"}],
1020 TraditionalForm]}],
1021 SqrtBox["2"]], "-",
1022 FractionBox[
1023 RowBox[{
1024 FormBox["e",
1025 TraditionalForm], " ",
1026 RowBox[{"(",
1027 RowBox[{"H", "+", "v"}], ")"}], " ",
1028 FormBox[
1029 SubscriptBox["Wi",
1030 RowBox[{
1031 FormBox["\[Nu]",
1032 TraditionalForm], ",", "3"}]],
1033 TraditionalForm]}],
1034 RowBox[{"2", " ",
1035 SqrtBox["2"], " ",
1036 FormBox[
1037 SubscriptBox["s", "w"],
1038 TraditionalForm]}]]}], ")"}]}], "+",
1039 RowBox[{
1040 RowBox[{"(",
1041 RowBox[{
1042 FractionBox[
1043 RowBox[{
1044 FormBox["e",
1045 TraditionalForm], " ",
1046 RowBox[{"(",
1047 RowBox[{"H", "+", "v"}], ")"}], " ",
1048 FormBox[
1049 SubscriptBox["B",
1050 FormBox["\[Mu]",
1051 TraditionalForm]],
1052 TraditionalForm]}],
1053 RowBox[{"2", " ",
1054 SqrtBox["2"], " ",
1055 FormBox[
1056 SubscriptBox["c", "w"],
1057 TraditionalForm]}]], "-",
1058 FractionBox[
1059 RowBox[{"\[ImaginaryI]", " ",
1060 FormBox[
1061 RowBox[{
1062 SubscriptBox["\<\"\[PartialD]\"\>",
1063 FormBox["\[Mu]",
1064 TraditionalForm]], "(", "H", ")"}],
1065 TraditionalForm]}],
1066 SqrtBox["2"]], "-",
1067 FractionBox[
1068 RowBox[{
1069 FormBox["e",
1070 TraditionalForm], " ",
1071 RowBox[{"(",
1072 RowBox[{"H", "+", "v"}], ")"}], " ",
1073 FormBox[
1074 SubscriptBox["Wi",
1075 RowBox[{
1076 FormBox["\[Mu]",
1077 TraditionalForm], ",", "3"}]],
1078 TraditionalForm]}],
1079 RowBox[{"2", " ",
1080 SqrtBox["2"], " ",
1081 FormBox[
1082 SubscriptBox["s", "w"],
1083 TraditionalForm]}]]}], ")"}], " ",
1084 RowBox[{"(",
1085 RowBox[{
1086 FractionBox[
1087 RowBox[{
1088 FormBox["e",
1089 TraditionalForm], " ",
1090 RowBox[{"(",
1091 RowBox[{"H", "+", "v"}], ")"}], " ",
1092 FormBox[
1093 SubscriptBox["B",
1094 FormBox["\[Nu]",
1095 TraditionalForm]],
1096 TraditionalForm]}],
1097 RowBox[{"2", " ",
1098 SqrtBox["2"], " ",
1099 FormBox[
1100 SubscriptBox["c", "w"],
1101 TraditionalForm]}]], "+",
1102 FractionBox[
1103 RowBox[{"\[ImaginaryI]", " ",
1104 FormBox[
1105 RowBox[{
1106 SubscriptBox["\<\"\[PartialD]\"\>",
1107 FormBox["\[Nu]",
1108 TraditionalForm]], "(", "H", ")"}],
1109 TraditionalForm]}],
1110 SqrtBox["2"]], "-",
1111 FractionBox[
1112 RowBox[{
1113 FormBox["e",
1114 TraditionalForm], " ",
1115 RowBox[{"(",
1116 RowBox[{"H", "+", "v"}], ")"}], " ",
1117 FormBox[
1118 SubscriptBox["Wi",
1119 RowBox[{
1120 FormBox["\[Nu]",
1121 TraditionalForm], ",", "3"}]],
1122 TraditionalForm]}],
1123 RowBox[{"2", " ",
1124 SqrtBox["2"], " ",
1125 FormBox[
1126 SubscriptBox["s", "w"],
1127 TraditionalForm]}]]}], ")"}]}]}], ")"}]}]}],
1128 TraditionalForm]], "Output",
1129 CellChangeTimes->{3.454061221137125*^9}]
1130}, Closed]]
1131}, Open ]],
1132
1133Cell[CellGroupData[{
1134
1135Cell["Fermion sector", "Subsubsection",
1136 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
1137 3.4119103528868923`*^9, 3.411910357404933*^9}}],
1138
1139Cell[CellGroupData[{
1140
1141Cell[BoxData["LagF"], "Input",
1142 CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
1143 3.411910379677638*^9, 3.4119103807255*^9}, {3.454050812632284*^9,
1144 3.4540508182235947`*^9}, 3.4540522991223593`*^9, {3.454057102034585*^9,
1145 3.454057104921763*^9}, 3.454061223464816*^9}],
1146
1147Cell[BoxData[
1148 FormBox[
1149 RowBox[{
1150 RowBox[{"-",
1151 FractionBox["1", "2"]}], " ",
1152 FormBox["\[Kappa]",
1153 TraditionalForm], " ",
1154 RowBox[{
1155 FormBox[
1156 SubscriptBox["h",
1157 RowBox[{
1158 FormBox["\[Mu]",
1159 TraditionalForm], ",",
1160 FormBox["\[Nu]",
1161 TraditionalForm]}]],
1162 TraditionalForm], ".",
1163 RowBox[{"(",
1164 RowBox[{
1165 RowBox[{
1166 RowBox[{"-",
1167 FractionBox["1", "4"]}], " ", "\[ImaginaryI]", " ",
1168 FormBox[
1169 RowBox[{
1170 SubscriptBox["\<\"\[PartialD]\"\>",
1171 FormBox["\[Nu]",
1172 TraditionalForm]], "(",
1173 RowBox[{
1174 FormBox[
1175 SuperscriptBox["dq", "\[Dagger]"],
1176 TraditionalForm], ".",
1177 FormBox[
1178 SuperscriptBox["\[Gamma]",
1179 FormBox["\[Mu]",
1180 TraditionalForm]],
1181 TraditionalForm], ".", "dq"}], ")"}],
1182 TraditionalForm]}], "-",
1183 RowBox[{
1184 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1185 FormBox[
1186 RowBox[{
1187 SubscriptBox["\<\"\[PartialD]\"\>",
1188 FormBox["\[Mu]",
1189 TraditionalForm]], "(",
1190 RowBox[{
1191 FormBox[
1192 SuperscriptBox["dq", "\[Dagger]"],
1193 TraditionalForm], ".",
1194 FormBox[
1195 SuperscriptBox["\[Gamma]",
1196 FormBox["\[Nu]",
1197 TraditionalForm]],
1198 TraditionalForm], ".", "dq"}], ")"}],
1199 TraditionalForm]}], "-",
1200 RowBox[{
1201 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1202 FormBox[
1203 RowBox[{
1204 SubscriptBox["\<\"\[PartialD]\"\>",
1205 FormBox["\[Nu]",
1206 TraditionalForm]], "(",
1207 RowBox[{
1208 FormBox[
1209 SuperscriptBox["l", "\[Dagger]"],
1210 TraditionalForm], ".",
1211 FormBox[
1212 SuperscriptBox["\[Gamma]",
1213 FormBox["\[Mu]",
1214 TraditionalForm]],
1215 TraditionalForm], ".", "l"}], ")"}],
1216 TraditionalForm]}], "-",
1217 RowBox[{
1218 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1219 FormBox[
1220 RowBox[{
1221 SubscriptBox["\<\"\[PartialD]\"\>",
1222 FormBox["\[Mu]",
1223 TraditionalForm]], "(",
1224 RowBox[{
1225 FormBox[
1226 SuperscriptBox["l", "\[Dagger]"],
1227 TraditionalForm], ".",
1228 FormBox[
1229 SuperscriptBox["\[Gamma]",
1230 FormBox["\[Nu]",
1231 TraditionalForm]],
1232 TraditionalForm], ".", "l"}], ")"}],
1233 TraditionalForm]}], "-",
1234 RowBox[{
1235 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1236 FormBox[
1237 RowBox[{
1238 SubscriptBox["\<\"\[PartialD]\"\>",
1239 FormBox["\[Nu]",
1240 TraditionalForm]], "(",
1241 RowBox[{
1242 FormBox[
1243 SuperscriptBox["uq", "\[Dagger]"],
1244 TraditionalForm], ".",
1245 FormBox[
1246 SuperscriptBox["\[Gamma]",
1247 FormBox["\[Mu]",
1248 TraditionalForm]],
1249 TraditionalForm], ".", "uq"}], ")"}],
1250 TraditionalForm]}], "-",
1251 RowBox[{
1252 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1253 FormBox[
1254 RowBox[{
1255 SubscriptBox["\<\"\[PartialD]\"\>",
1256 FormBox["\[Mu]",
1257 TraditionalForm]], "(",
1258 RowBox[{
1259 FormBox[
1260 SuperscriptBox["uq", "\[Dagger]"],
1261 TraditionalForm], ".",
1262 FormBox[
1263 SuperscriptBox["\[Gamma]",
1264 FormBox["\[Nu]",
1265 TraditionalForm]],
1266 TraditionalForm], ".", "uq"}], ")"}],
1267 TraditionalForm]}], "-",
1268 RowBox[{
1269 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1270 FormBox[
1271 RowBox[{
1272 SubscriptBox["\<\"\[PartialD]\"\>",
1273 FormBox["\[Nu]",
1274 TraditionalForm]], "(",
1275 RowBox[{
1276 FormBox[
1277 SuperscriptBox["vl", "\[Dagger]"],
1278 TraditionalForm], ".",
1279 FormBox[
1280 SuperscriptBox["\[Gamma]",
1281 FormBox["\[Mu]",
1282 TraditionalForm]],
1283 TraditionalForm], ".", "vl"}], ")"}],
1284 TraditionalForm]}], "-",
1285 RowBox[{
1286 FractionBox["1", "4"], " ", "\[ImaginaryI]", " ",
1287 FormBox[
1288 RowBox[{
1289 SubscriptBox["\<\"\[PartialD]\"\>",
1290 FormBox["\[Mu]",
1291 TraditionalForm]], "(",
1292 RowBox[{
1293 FormBox[
1294 SuperscriptBox["vl", "\[Dagger]"],
1295 TraditionalForm], ".",
1296 FormBox[
1297 SuperscriptBox["\[Gamma]",
1298 FormBox["\[Nu]",
1299 TraditionalForm]],
1300 TraditionalForm], ".", "vl"}], ")"}],
1301 TraditionalForm]}], "-",
1302 RowBox[{
1303 FormBox[
1304 SubscriptBox["\[Eta]",
1305 RowBox[{
1306 FormBox[
1307 FormBox["\[Mu]",
1308 TraditionalForm],
1309 TraditionalForm], ",",
1310 FormBox[
1311 FormBox["\[Nu]",
1312 TraditionalForm],
1313 TraditionalForm]}]],
1314 TraditionalForm], ".",
1315 RowBox[{"(",
1316 RowBox[{
1317 RowBox[{
1318 RowBox[{"-",
1319 FractionBox["1", "2"]}], " ", "\[ImaginaryI]", " ",
1320 FormBox[
1321 RowBox[{
1322 SubscriptBox["\<\"\[PartialD]\"\>",
1323 FormBox["\[Rho]",
1324 TraditionalForm]], "(",
1325 RowBox[{
1326 FormBox[
1327 SuperscriptBox["dq", "\[Dagger]"],
1328 TraditionalForm], ".",
1329 FormBox[
1330 SuperscriptBox["\[Gamma]",
1331 FormBox["\[Rho]",
1332 TraditionalForm]],
1333 TraditionalForm], ".", "dq"}], ")"}],
1334 TraditionalForm]}], "-",
1335 RowBox[{
1336 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
1337 FormBox[
1338 RowBox[{
1339 SubscriptBox["\<\"\[PartialD]\"\>",
1340 FormBox["\[Rho]",
1341 TraditionalForm]], "(",
1342 RowBox[{
1343 FormBox[
1344 SuperscriptBox["l", "\[Dagger]"],
1345 TraditionalForm], ".",
1346 FormBox[
1347 SuperscriptBox["\[Gamma]",
1348 FormBox["\[Rho]",
1349 TraditionalForm]],
1350 TraditionalForm], ".", "l"}], ")"}],
1351 TraditionalForm]}], "-",
1352 RowBox[{
1353 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
1354 FormBox[
1355 RowBox[{
1356 SubscriptBox["\<\"\[PartialD]\"\>",
1357 FormBox["\[Rho]",
1358 TraditionalForm]], "(",
1359 RowBox[{
1360 FormBox[
1361 SuperscriptBox["uq", "\[Dagger]"],
1362 TraditionalForm], ".",
1363 FormBox[
1364 SuperscriptBox["\[Gamma]",
1365 FormBox["\[Rho]",
1366 TraditionalForm]],
1367 TraditionalForm], ".", "uq"}], ")"}],
1368 TraditionalForm]}], "-",
1369 RowBox[{
1370 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
1371 FormBox[
1372 RowBox[{
1373 SubscriptBox["\<\"\[PartialD]\"\>",
1374 FormBox["\[Rho]",
1375 TraditionalForm]], "(",
1376 RowBox[{
1377 FormBox[
1378 SuperscriptBox["vl", "\[Dagger]"],
1379 TraditionalForm], ".",
1380 FormBox[
1381 SuperscriptBox["\[Gamma]",
1382 FormBox["\[Rho]",
1383 TraditionalForm]],
1384 TraditionalForm], ".", "vl"}], ")"}],
1385 TraditionalForm]}], "+",
1386 RowBox[{"\[ImaginaryI]", " ",
1387 RowBox[{
1388 FormBox[
1389 SuperscriptBox["dq", "\[Dagger]"],
1390 TraditionalForm], ".",
1391 FormBox[
1392 SuperscriptBox["\[Gamma]",
1393 FormBox["\[Rho]",
1394 TraditionalForm]],
1395 TraditionalForm], ".",
1396 RowBox[{"(",
1397 RowBox[{
1398 FormBox[
1399 RowBox[{
1400 SubscriptBox["\<\"\[PartialD]\"\>",
1401 FormBox["\[Rho]",
1402 TraditionalForm]], "(", "dq", ")"}],
1403 TraditionalForm], "-",
1404 FractionBox[
1405 RowBox[{"\[ImaginaryI]", " ",
1406 FormBox["e",
1407 TraditionalForm], " ",
1408 FormBox[
1409 SubscriptBox["B",
1410 FormBox["\[Rho]",
1411 TraditionalForm]],
1412 TraditionalForm], " ",
1413 RowBox[{
1414 FormBox[
1415 SubscriptBox["P", "\<\"-\"\>"],
1416 TraditionalForm], ".", "dq"}]}],
1417 RowBox[{"6", " ",
1418 FormBox[
1419 SubscriptBox["c", "w"],
1420 TraditionalForm]}]], "+",
1421 FractionBox[
1422 RowBox[{"\[ImaginaryI]", " ",
1423 FormBox["e",
1424 TraditionalForm], " ",
1425 FormBox[
1426 SubscriptBox["B",
1427 FormBox["\[Rho]",
1428 TraditionalForm]],
1429 TraditionalForm], " ",
1430 RowBox[{
1431 FormBox[
1432 SubscriptBox["P", "\<\"+\"\>"],
1433 TraditionalForm], ".", "dq"}]}],
1434 RowBox[{"3", " ",
1435 FormBox[
1436 SubscriptBox["c", "w"],
1437 TraditionalForm]}]], "-",
1438 RowBox[{"\[ImaginaryI]", " ",
1439 FormBox[
1440 SubscriptBox["g", "s"],
1441 TraditionalForm], " ",
1442 RowBox[{
1443 FormBox[
1444 SuperscriptBox["T", "a$182"],
1445 TraditionalForm], ".", "dq"}], " ",
1446 FormBox[
1447 SubscriptBox["G",
1448 RowBox[{
1449 FormBox["\[Rho]",
1450 TraditionalForm], ",", "a$182"}]],
1451 TraditionalForm]}], "+",
1452 FractionBox[
1453 RowBox[{"\[ImaginaryI]", " ",
1454 FormBox["e",
1455 TraditionalForm], " ",
1456 RowBox[{
1457 FormBox[
1458 SubscriptBox["P", "\<\"-\"\>"],
1459 TraditionalForm], ".", "dq"}], " ",
1460 FormBox[
1461 SubscriptBox["Wi",
1462 RowBox[{
1463 FormBox["\[Rho]",
1464 TraditionalForm], ",", "3"}]],
1465 TraditionalForm]}],
1466 RowBox[{"2", " ",
1467 FormBox[
1468 SubscriptBox["s", "w"],
1469 TraditionalForm]}]]}], ")"}]}]}], "+",
1470 RowBox[{"\[ImaginaryI]", " ",
1471 RowBox[{
1472 FormBox[
1473 SuperscriptBox["l", "\[Dagger]"],
1474 TraditionalForm], ".",
1475 FormBox[
1476 SuperscriptBox["\[Gamma]",
1477 FormBox["\[Rho]",
1478 TraditionalForm]],
1479 TraditionalForm], ".",
1480 RowBox[{"(",
1481 RowBox[{
1482 FormBox[
1483 RowBox[{
1484 SubscriptBox["\<\"\[PartialD]\"\>",
1485 FormBox["\[Rho]",
1486 TraditionalForm]], "(", "l", ")"}],
1487 TraditionalForm], "-",
1488 FractionBox[
1489 RowBox[{"\[ImaginaryI]", " ",
1490 FormBox["e",
1491 TraditionalForm], " ",
1492 FormBox[
1493 SubscriptBox["B",
1494 FormBox["\[Rho]",
1495 TraditionalForm]],
1496 TraditionalForm], " ",
1497 RowBox[{
1498 FormBox[
1499 SubscriptBox["P", "\<\"-\"\>"],
1500 TraditionalForm], ".", "l"}]}],
1501 RowBox[{"2", " ",
1502 FormBox[
1503 SubscriptBox["c", "w"],
1504 TraditionalForm]}]], "+",
1505 FractionBox[
1506 RowBox[{"\[ImaginaryI]", " ",
1507 FormBox["e",
1508 TraditionalForm], " ",
1509 FormBox[
1510 SubscriptBox["B",
1511 FormBox["\[Rho]",
1512 TraditionalForm]],
1513 TraditionalForm], " ",
1514 RowBox[{
1515 FormBox[
1516 SubscriptBox["P", "\<\"+\"\>"],
1517 TraditionalForm], ".", "l"}]}],
1518 FormBox[
1519 SubscriptBox["c", "w"],
1520 TraditionalForm]], "+",
1521 FractionBox[
1522 RowBox[{"\[ImaginaryI]", " ",
1523 FormBox["e",
1524 TraditionalForm], " ",
1525 RowBox[{
1526 FormBox[
1527 SubscriptBox["P", "\<\"-\"\>"],
1528 TraditionalForm], ".", "l"}], " ",
1529 FormBox[
1530 SubscriptBox["Wi",
1531 RowBox[{
1532 FormBox["\[Rho]",
1533 TraditionalForm], ",", "3"}]],
1534 TraditionalForm]}],
1535 RowBox[{"2", " ",
1536 FormBox[
1537 SubscriptBox["s", "w"],
1538 TraditionalForm]}]]}], ")"}]}]}], "+",
1539 RowBox[{"\[ImaginaryI]", " ",
1540 RowBox[{
1541 FormBox[
1542 SuperscriptBox["uq", "\[Dagger]"],
1543 TraditionalForm], ".",
1544 FormBox[
1545 SuperscriptBox["\[Gamma]",
1546 FormBox["\[Rho]",
1547 TraditionalForm]],
1548 TraditionalForm], ".",
1549 RowBox[{"(",
1550 RowBox[{
1551 FormBox[
1552 RowBox[{
1553 SubscriptBox["\<\"\[PartialD]\"\>",
1554 FormBox["\[Rho]",
1555 TraditionalForm]], "(", "uq", ")"}],
1556 TraditionalForm], "-",
1557 FractionBox[
1558 RowBox[{"\[ImaginaryI]", " ",
1559 FormBox["e",
1560 TraditionalForm], " ",
1561 FormBox[
1562 SubscriptBox["B",
1563 FormBox["\[Rho]",
1564 TraditionalForm]],
1565 TraditionalForm], " ",
1566 RowBox[{
1567 FormBox[
1568 SubscriptBox["P", "\<\"-\"\>"],
1569 TraditionalForm], ".", "uq"}]}],
1570 RowBox[{"6", " ",
1571 FormBox[
1572 SubscriptBox["c", "w"],
1573 TraditionalForm]}]], "-",
1574 FractionBox[
1575 RowBox[{"2", " ", "\[ImaginaryI]", " ",
1576 FormBox["e",
1577 TraditionalForm], " ",
1578 FormBox[
1579 SubscriptBox["B",
1580 FormBox["\[Rho]",
1581 TraditionalForm]],
1582 TraditionalForm], " ",
1583 RowBox[{
1584 FormBox[
1585 SubscriptBox["P", "\<\"+\"\>"],
1586 TraditionalForm], ".", "uq"}]}],
1587 RowBox[{"3", " ",
1588 FormBox[
1589 SubscriptBox["c", "w"],
1590 TraditionalForm]}]], "-",
1591 RowBox[{"\[ImaginaryI]", " ",
1592 FormBox[
1593 SubscriptBox["g", "s"],
1594 TraditionalForm], " ",
1595 RowBox[{
1596 FormBox[
1597 SuperscriptBox["T", "a$181"],
1598 TraditionalForm], ".", "uq"}], " ",
1599 FormBox[
1600 SubscriptBox["G",
1601 RowBox[{
1602 FormBox["\[Rho]",
1603 TraditionalForm], ",", "a$181"}]],
1604 TraditionalForm]}], "-",
1605 FractionBox[
1606 RowBox[{"\[ImaginaryI]", " ",
1607 FormBox["e",
1608 TraditionalForm], " ",
1609 RowBox[{
1610 FormBox[
1611 SubscriptBox["P", "\<\"-\"\>"],
1612 TraditionalForm], ".", "uq"}], " ",
1613 FormBox[
1614 SubscriptBox["Wi",
1615 RowBox[{
1616 FormBox["\[Rho]",
1617 TraditionalForm], ",", "3"}]],
1618 TraditionalForm]}],
1619 RowBox[{"2", " ",
1620 FormBox[
1621 SubscriptBox["s", "w"],
1622 TraditionalForm]}]]}], ")"}]}]}], "+",
1623 RowBox[{"\[ImaginaryI]", " ",
1624 RowBox[{
1625 FormBox[
1626 SuperscriptBox["vl", "\[Dagger]"],
1627 TraditionalForm], ".",
1628 FormBox[
1629 SuperscriptBox["\[Gamma]",
1630 FormBox["\[Rho]",
1631 TraditionalForm]],
1632 TraditionalForm], ".",
1633 RowBox[{"(",
1634 RowBox[{
1635 FormBox[
1636 RowBox[{
1637 SubscriptBox["\<\"\[PartialD]\"\>",
1638 FormBox["\[Rho]",
1639 TraditionalForm]], "(", "vl", ")"}],
1640 TraditionalForm], "+",
1641 FractionBox[
1642 RowBox[{"\[ImaginaryI]", " ",
1643 FormBox["e",
1644 TraditionalForm], " ",
1645 FormBox[
1646 SubscriptBox["B",
1647 FormBox["\[Rho]",
1648 TraditionalForm]],
1649 TraditionalForm], " ",
1650 RowBox[{
1651 FormBox[
1652 SubscriptBox["P", "\<\"-\"\>"],
1653 TraditionalForm], ".", "vl"}]}],
1654 RowBox[{"2", " ",
1655 FormBox[
1656 SubscriptBox["c", "w"],
1657 TraditionalForm]}]], "-",
1658 FractionBox[
1659 RowBox[{"\[ImaginaryI]", " ",
1660 FormBox["e",
1661 TraditionalForm], " ",
1662 RowBox[{
1663 FormBox[
1664 SubscriptBox["P", "\<\"-\"\>"],
1665 TraditionalForm], ".", "vl"}], " ",
1666 FormBox[
1667 SubscriptBox["Wi",
1668 RowBox[{
1669 FormBox["\[Rho]",
1670 TraditionalForm], ",", "3"}]],
1671 TraditionalForm]}],
1672 RowBox[{"2", " ",
1673 FormBox[
1674 SubscriptBox["s", "w"],
1675 TraditionalForm]}]]}], ")"}]}]}], "-",
1676 FractionBox[
1677 RowBox[{
1678 FormBox["e",
1679 TraditionalForm], " ",
1680 RowBox[{"(",
1681 RowBox[{
1682 RowBox[{"CKM", " ",
1683 RowBox[{
1684 FormBox[
1685 SuperscriptBox["uq", "\[Dagger]"],
1686 TraditionalForm], ".",
1687 FormBox[
1688 SuperscriptBox["\[Gamma]",
1689 FormBox["\[Rho]",
1690 TraditionalForm]],
1691 TraditionalForm], ".",
1692 FormBox[
1693 SubscriptBox["P", "\<\"-\"\>"],
1694 TraditionalForm], ".", "dq"}], " ",
1695 FormBox[
1696 SubscriptBox["W",
1697 FormBox["\[Rho]",
1698 TraditionalForm]],
1699 TraditionalForm]}], "+",
1700 RowBox[{
1701 RowBox[{
1702 FormBox[
1703 SuperscriptBox["vl", "\[Dagger]"],
1704 TraditionalForm], ".",
1705 FormBox[
1706 SuperscriptBox["\[Gamma]",
1707 FormBox["\[Rho]",
1708 TraditionalForm]],
1709 TraditionalForm], ".",
1710 FormBox[
1711 SubscriptBox["P", "\<\"-\"\>"],
1712 TraditionalForm], ".", "l"}], " ",
1713 FormBox[
1714 SubscriptBox["W",
1715 FormBox["\[Rho]",
1716 TraditionalForm]],
1717 TraditionalForm]}], "+",
1718 RowBox[{
1719 RowBox[{
1720 FormBox[
1721 SuperscriptBox["l", "\[Dagger]"],
1722 TraditionalForm], ".",
1723 FormBox[
1724 SuperscriptBox["\[Gamma]",
1725 FormBox["\[Rho]",
1726 TraditionalForm]],
1727 TraditionalForm], ".",
1728 FormBox[
1729 SubscriptBox["P", "\<\"-\"\>"],
1730 TraditionalForm], ".", "vl"}], " ",
1731 FormBox[
1732 SubsuperscriptBox["W",
1733 FormBox["\[Rho]",
1734 TraditionalForm], "\[Dagger]"],
1735 TraditionalForm]}], "+",
1736 RowBox[{
1737 RowBox[{
1738 FormBox[
1739 SuperscriptBox["dq", "\[Dagger]"],
1740 TraditionalForm], ".",
1741 FormBox[
1742 SuperscriptBox["\[Gamma]",
1743 FormBox["\[Rho]",
1744 TraditionalForm]],
1745 TraditionalForm], ".",
1746 FormBox[
1747 SubscriptBox["P", "\<\"-\"\>"],
1748 TraditionalForm], ".", "uq"}], " ",
1749 FormBox[
1750 SuperscriptBox["CKM", "\[Dagger]"],
1751 TraditionalForm], " ",
1752 FormBox[
1753 SubsuperscriptBox["W",
1754 FormBox["\[Rho]",
1755 TraditionalForm], "\[Dagger]"],
1756 TraditionalForm]}]}], ")"}]}],
1757 RowBox[{
1758 SqrtBox["2"], " ",
1759 FormBox[
1760 SubscriptBox["s", "w"],
1761 TraditionalForm]}]]}], ")"}]}], "+",
1762 RowBox[{
1763 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
1764 RowBox[{
1765 FormBox[
1766 SuperscriptBox["dq", "\[Dagger]"],
1767 TraditionalForm], ".",
1768 FormBox[
1769 SuperscriptBox["\[Gamma]",
1770 FormBox["\[Mu]",
1771 TraditionalForm]],
1772 TraditionalForm], ".",
1773 RowBox[{"(",
1774 RowBox[{
1775 FormBox[
1776 RowBox[{
1777 SubscriptBox["\<\"\[PartialD]\"\>",
1778 FormBox["\[Nu]",
1779 TraditionalForm]], "(", "dq", ")"}],
1780 TraditionalForm], "-",
1781 FractionBox[
1782 RowBox[{"\[ImaginaryI]", " ",
1783 FormBox["e",
1784 TraditionalForm], " ",
1785 FormBox[
1786 SubscriptBox["B",
1787 FormBox["\[Nu]",
1788 TraditionalForm]],
1789 TraditionalForm], " ",
1790 RowBox[{
1791 FormBox[
1792 SubscriptBox["P", "\<\"-\"\>"],
1793 TraditionalForm], ".", "dq"}]}],
1794 RowBox[{"6", " ",
1795 FormBox[
1796 SubscriptBox["c", "w"],
1797 TraditionalForm]}]], "+",
1798 FractionBox[
1799 RowBox[{"\[ImaginaryI]", " ",
1800 FormBox["e",
1801 TraditionalForm], " ",
1802 FormBox[
1803 SubscriptBox["B",
1804 FormBox["\[Nu]",
1805 TraditionalForm]],
1806 TraditionalForm], " ",
1807 RowBox[{
1808 FormBox[
1809 SubscriptBox["P", "\<\"+\"\>"],
1810 TraditionalForm], ".", "dq"}]}],
1811 RowBox[{"3", " ",
1812 FormBox[
1813 SubscriptBox["c", "w"],
1814 TraditionalForm]}]], "-",
1815 RowBox[{"\[ImaginaryI]", " ",
1816 FormBox[
1817 SubscriptBox["g", "s"],
1818 TraditionalForm], " ",
1819 RowBox[{
1820 FormBox[
1821 SuperscriptBox["T", "a$187"],
1822 TraditionalForm], ".", "dq"}], " ",
1823 FormBox[
1824 SubscriptBox["G",
1825 RowBox[{
1826 FormBox["\[Nu]",
1827 TraditionalForm], ",", "a$187"}]],
1828 TraditionalForm]}], "+",
1829 FractionBox[
1830 RowBox[{"\[ImaginaryI]", " ",
1831 FormBox["e",
1832 TraditionalForm], " ",
1833 RowBox[{
1834 FormBox[
1835 SubscriptBox["P", "\<\"-\"\>"],
1836 TraditionalForm], ".", "dq"}], " ",
1837 FormBox[
1838 SubscriptBox["Wi",
1839 RowBox[{
1840 FormBox["\[Nu]",
1841 TraditionalForm], ",", "3"}]],
1842 TraditionalForm]}],
1843 RowBox[{"2", " ",
1844 FormBox[
1845 SubscriptBox["s", "w"],
1846 TraditionalForm]}]]}], ")"}]}]}], "+",
1847 RowBox[{
1848 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
1849 RowBox[{
1850 FormBox[
1851 SuperscriptBox["dq", "\[Dagger]"],
1852 TraditionalForm], ".",
1853 FormBox[
1854 SuperscriptBox["\[Gamma]",
1855 FormBox["\[Nu]",
1856 TraditionalForm]],
1857 TraditionalForm], ".",
1858 RowBox[{"(",
1859 RowBox[{
1860 FormBox[
1861 RowBox[{
1862 SubscriptBox["\<\"\[PartialD]\"\>",
1863 FormBox["\[Mu]",
1864 TraditionalForm]], "(", "dq", ")"}],
1865 TraditionalForm], "-",
1866 FractionBox[
1867 RowBox[{"\[ImaginaryI]", " ",
1868 FormBox["e",
1869 TraditionalForm], " ",
1870 FormBox[
1871 SubscriptBox["B",
1872 FormBox["\[Mu]",
1873 TraditionalForm]],
1874 TraditionalForm], " ",
1875 RowBox[{
1876 FormBox[
1877 SubscriptBox["P", "\<\"-\"\>"],
1878 TraditionalForm], ".", "dq"}]}],
1879 RowBox[{"6", " ",
1880 FormBox[
1881 SubscriptBox["c", "w"],
1882 TraditionalForm]}]], "+",
1883 FractionBox[
1884 RowBox[{"\[ImaginaryI]", " ",
1885 FormBox["e",
1886 TraditionalForm], " ",
1887 FormBox[
1888 SubscriptBox["B",
1889 FormBox["\[Mu]",
1890 TraditionalForm]],
1891 TraditionalForm], " ",
1892 RowBox[{
1893 FormBox[
1894 SubscriptBox["P", "\<\"+\"\>"],
1895 TraditionalForm], ".", "dq"}]}],
1896 RowBox[{"3", " ",
1897 FormBox[
1898 SubscriptBox["c", "w"],
1899 TraditionalForm]}]], "-",
1900 RowBox[{"\[ImaginaryI]", " ",
1901 FormBox[
1902 SubscriptBox["g", "s"],
1903 TraditionalForm], " ",
1904 RowBox[{
1905 FormBox[
1906 SuperscriptBox["T", "a$188"],
1907 TraditionalForm], ".", "dq"}], " ",
1908 FormBox[
1909 SubscriptBox["G",
1910 RowBox[{
1911 FormBox["\[Mu]",
1912 TraditionalForm], ",", "a$188"}]],
1913 TraditionalForm]}], "+",
1914 FractionBox[
1915 RowBox[{"\[ImaginaryI]", " ",
1916 FormBox["e",
1917 TraditionalForm], " ",
1918 RowBox[{
1919 FormBox[
1920 SubscriptBox["P", "\<\"-\"\>"],
1921 TraditionalForm], ".", "dq"}], " ",
1922 FormBox[
1923 SubscriptBox["Wi",
1924 RowBox[{
1925 FormBox["\[Mu]",
1926 TraditionalForm], ",", "3"}]],
1927 TraditionalForm]}],
1928 RowBox[{"2", " ",
1929 FormBox[
1930 SubscriptBox["s", "w"],
1931 TraditionalForm]}]]}], ")"}]}]}], "+",
1932 RowBox[{
1933 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
1934 RowBox[{
1935 FormBox[
1936 SuperscriptBox["l", "\[Dagger]"],
1937 TraditionalForm], ".",
1938 FormBox[
1939 SuperscriptBox["\[Gamma]",
1940 FormBox["\[Mu]",
1941 TraditionalForm]],
1942 TraditionalForm], ".",
1943 RowBox[{"(",
1944 RowBox[{
1945 FormBox[
1946 RowBox[{
1947 SubscriptBox["\<\"\[PartialD]\"\>",
1948 FormBox["\[Nu]",
1949 TraditionalForm]], "(", "l", ")"}],
1950 TraditionalForm], "-",
1951 FractionBox[
1952 RowBox[{"\[ImaginaryI]", " ",
1953 FormBox["e",
1954 TraditionalForm], " ",
1955 FormBox[
1956 SubscriptBox["B",
1957 FormBox["\[Nu]",
1958 TraditionalForm]],
1959 TraditionalForm], " ",
1960 RowBox[{
1961 FormBox[
1962 SubscriptBox["P", "\<\"-\"\>"],
1963 TraditionalForm], ".", "l"}]}],
1964 RowBox[{"2", " ",
1965 FormBox[
1966 SubscriptBox["c", "w"],
1967 TraditionalForm]}]], "+",
1968 FractionBox[
1969 RowBox[{"\[ImaginaryI]", " ",
1970 FormBox["e",
1971 TraditionalForm], " ",
1972 FormBox[
1973 SubscriptBox["B",
1974 FormBox["\[Nu]",
1975 TraditionalForm]],
1976 TraditionalForm], " ",
1977 RowBox[{
1978 FormBox[
1979 SubscriptBox["P", "\<\"+\"\>"],
1980 TraditionalForm], ".", "l"}]}],
1981 FormBox[
1982 SubscriptBox["c", "w"],
1983 TraditionalForm]], "+",
1984 FractionBox[
1985 RowBox[{"\[ImaginaryI]", " ",
1986 FormBox["e",
1987 TraditionalForm], " ",
1988 RowBox[{
1989 FormBox[
1990 SubscriptBox["P", "\<\"-\"\>"],
1991 TraditionalForm], ".", "l"}], " ",
1992 FormBox[
1993 SubscriptBox["Wi",
1994 RowBox[{
1995 FormBox["\[Nu]",
1996 TraditionalForm], ",", "3"}]],
1997 TraditionalForm]}],
1998 RowBox[{"2", " ",
1999 FormBox[
2000 SubscriptBox["s", "w"],
2001 TraditionalForm]}]]}], ")"}]}]}], "+",
2002 RowBox[{
2003 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
2004 RowBox[{
2005 FormBox[
2006 SuperscriptBox["l", "\[Dagger]"],
2007 TraditionalForm], ".",
2008 FormBox[
2009 SuperscriptBox["\[Gamma]",
2010 FormBox["\[Nu]",
2011 TraditionalForm]],
2012 TraditionalForm], ".",
2013 RowBox[{"(",
2014 RowBox[{
2015 FormBox[
2016 RowBox[{
2017 SubscriptBox["\<\"\[PartialD]\"\>",
2018 FormBox["\[Mu]",
2019 TraditionalForm]], "(", "l", ")"}],
2020 TraditionalForm], "-",
2021 FractionBox[
2022 RowBox[{"\[ImaginaryI]", " ",
2023 FormBox["e",
2024 TraditionalForm], " ",
2025 FormBox[
2026 SubscriptBox["B",
2027 FormBox["\[Mu]",
2028 TraditionalForm]],
2029 TraditionalForm], " ",
2030 RowBox[{
2031 FormBox[
2032 SubscriptBox["P", "\<\"-\"\>"],
2033 TraditionalForm], ".", "l"}]}],
2034 RowBox[{"2", " ",
2035 FormBox[
2036 SubscriptBox["c", "w"],
2037 TraditionalForm]}]], "+",
2038 FractionBox[
2039 RowBox[{"\[ImaginaryI]", " ",
2040 FormBox["e",
2041 TraditionalForm], " ",
2042 FormBox[
2043 SubscriptBox["B",
2044 FormBox["\[Mu]",
2045 TraditionalForm]],
2046 TraditionalForm], " ",
2047 RowBox[{
2048 FormBox[
2049 SubscriptBox["P", "\<\"+\"\>"],
2050 TraditionalForm], ".", "l"}]}],
2051 FormBox[
2052 SubscriptBox["c", "w"],
2053 TraditionalForm]], "+",
2054 FractionBox[
2055 RowBox[{"\[ImaginaryI]", " ",
2056 FormBox["e",
2057 TraditionalForm], " ",
2058 RowBox[{
2059 FormBox[
2060 SubscriptBox["P", "\<\"-\"\>"],
2061 TraditionalForm], ".", "l"}], " ",
2062 FormBox[
2063 SubscriptBox["Wi",
2064 RowBox[{
2065 FormBox["\[Mu]",
2066 TraditionalForm], ",", "3"}]],
2067 TraditionalForm]}],
2068 RowBox[{"2", " ",
2069 FormBox[
2070 SubscriptBox["s", "w"],
2071 TraditionalForm]}]]}], ")"}]}]}], "+",
2072 RowBox[{
2073 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
2074 RowBox[{
2075 FormBox[
2076 SuperscriptBox["uq", "\[Dagger]"],
2077 TraditionalForm], ".",
2078 FormBox[
2079 SuperscriptBox["\[Gamma]",
2080 FormBox["\[Mu]",
2081 TraditionalForm]],
2082 TraditionalForm], ".",
2083 RowBox[{"(",
2084 RowBox[{
2085 FormBox[
2086 RowBox[{
2087 SubscriptBox["\<\"\[PartialD]\"\>",
2088 FormBox["\[Nu]",
2089 TraditionalForm]], "(", "uq", ")"}],
2090 TraditionalForm], "-",
2091 FractionBox[
2092 RowBox[{"\[ImaginaryI]", " ",
2093 FormBox["e",
2094 TraditionalForm], " ",
2095 FormBox[
2096 SubscriptBox["B",
2097 FormBox["\[Nu]",
2098 TraditionalForm]],
2099 TraditionalForm], " ",
2100 RowBox[{
2101 FormBox[
2102 SubscriptBox["P", "\<\"-\"\>"],
2103 TraditionalForm], ".", "uq"}]}],
2104 RowBox[{"6", " ",
2105 FormBox[
2106 SubscriptBox["c", "w"],
2107 TraditionalForm]}]], "-",
2108 FractionBox[
2109 RowBox[{"2", " ", "\[ImaginaryI]", " ",
2110 FormBox["e",
2111 TraditionalForm], " ",
2112 FormBox[
2113 SubscriptBox["B",
2114 FormBox["\[Nu]",
2115 TraditionalForm]],
2116 TraditionalForm], " ",
2117 RowBox[{
2118 FormBox[
2119 SubscriptBox["P", "\<\"+\"\>"],
2120 TraditionalForm], ".", "uq"}]}],
2121 RowBox[{"3", " ",
2122 FormBox[
2123 SubscriptBox["c", "w"],
2124 TraditionalForm]}]], "-",
2125 RowBox[{"\[ImaginaryI]", " ",
2126 FormBox[
2127 SubscriptBox["g", "s"],
2128 TraditionalForm], " ",
2129 RowBox[{
2130 FormBox[
2131 SuperscriptBox["T", "a$185"],
2132 TraditionalForm], ".", "uq"}], " ",
2133 FormBox[
2134 SubscriptBox["G",
2135 RowBox[{
2136 FormBox["\[Nu]",
2137 TraditionalForm], ",", "a$185"}]],
2138 TraditionalForm]}], "-",
2139 FractionBox[
2140 RowBox[{"\[ImaginaryI]", " ",
2141 FormBox["e",
2142 TraditionalForm], " ",
2143 RowBox[{
2144 FormBox[
2145 SubscriptBox["P", "\<\"-\"\>"],
2146 TraditionalForm], ".", "uq"}], " ",
2147 FormBox[
2148 SubscriptBox["Wi",
2149 RowBox[{
2150 FormBox["\[Nu]",
2151 TraditionalForm], ",", "3"}]],
2152 TraditionalForm]}],
2153 RowBox[{"2", " ",
2154 FormBox[
2155 SubscriptBox["s", "w"],
2156 TraditionalForm]}]]}], ")"}]}]}], "+",
2157 RowBox[{
2158 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
2159 RowBox[{
2160 FormBox[
2161 SuperscriptBox["uq", "\[Dagger]"],
2162 TraditionalForm], ".",
2163 FormBox[
2164 SuperscriptBox["\[Gamma]",
2165 FormBox["\[Nu]",
2166 TraditionalForm]],
2167 TraditionalForm], ".",
2168 RowBox[{"(",
2169 RowBox[{
2170 FormBox[
2171 RowBox[{
2172 SubscriptBox["\<\"\[PartialD]\"\>",
2173 FormBox["\[Mu]",
2174 TraditionalForm]], "(", "uq", ")"}],
2175 TraditionalForm], "-",
2176 FractionBox[
2177 RowBox[{"\[ImaginaryI]", " ",
2178 FormBox["e",
2179 TraditionalForm], " ",
2180 FormBox[
2181 SubscriptBox["B",
2182 FormBox["\[Mu]",
2183 TraditionalForm]],
2184 TraditionalForm], " ",
2185 RowBox[{
2186 FormBox[
2187 SubscriptBox["P", "\<\"-\"\>"],
2188 TraditionalForm], ".", "uq"}]}],
2189 RowBox[{"6", " ",
2190 FormBox[
2191 SubscriptBox["c", "w"],
2192 TraditionalForm]}]], "-",
2193 FractionBox[
2194 RowBox[{"2", " ", "\[ImaginaryI]", " ",
2195 FormBox["e",
2196 TraditionalForm], " ",
2197 FormBox[
2198 SubscriptBox["B",
2199 FormBox["\[Mu]",
2200 TraditionalForm]],
2201 TraditionalForm], " ",
2202 RowBox[{
2203 FormBox[
2204 SubscriptBox["P", "\<\"+\"\>"],
2205 TraditionalForm], ".", "uq"}]}],
2206 RowBox[{"3", " ",
2207 FormBox[
2208 SubscriptBox["c", "w"],
2209 TraditionalForm]}]], "-",
2210 RowBox[{"\[ImaginaryI]", " ",
2211 FormBox[
2212 SubscriptBox["g", "s"],
2213 TraditionalForm], " ",
2214 RowBox[{
2215 FormBox[
2216 SuperscriptBox["T", "a$186"],
2217 TraditionalForm], ".", "uq"}], " ",
2218 FormBox[
2219 SubscriptBox["G",
2220 RowBox[{
2221 FormBox["\[Mu]",
2222 TraditionalForm], ",", "a$186"}]],
2223 TraditionalForm]}], "-",
2224 FractionBox[
2225 RowBox[{"\[ImaginaryI]", " ",
2226 FormBox["e",
2227 TraditionalForm], " ",
2228 RowBox[{
2229 FormBox[
2230 SubscriptBox["P", "\<\"-\"\>"],
2231 TraditionalForm], ".", "uq"}], " ",
2232 FormBox[
2233 SubscriptBox["Wi",
2234 RowBox[{
2235 FormBox["\[Mu]",
2236 TraditionalForm], ",", "3"}]],
2237 TraditionalForm]}],
2238 RowBox[{"2", " ",
2239 FormBox[
2240 SubscriptBox["s", "w"],
2241 TraditionalForm]}]]}], ")"}]}]}], "+",
2242 RowBox[{
2243 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
2244 RowBox[{
2245 FormBox[
2246 SuperscriptBox["vl", "\[Dagger]"],
2247 TraditionalForm], ".",
2248 FormBox[
2249 SuperscriptBox["\[Gamma]",
2250 FormBox["\[Mu]",
2251 TraditionalForm]],
2252 TraditionalForm], ".",
2253 RowBox[{"(",
2254 RowBox[{
2255 FormBox[
2256 RowBox[{
2257 SubscriptBox["\<\"\[PartialD]\"\>",
2258 FormBox["\[Nu]",
2259 TraditionalForm]], "(", "vl", ")"}],
2260 TraditionalForm], "+",
2261 FractionBox[
2262 RowBox[{"\[ImaginaryI]", " ",
2263 FormBox["e",
2264 TraditionalForm], " ",
2265 FormBox[
2266 SubscriptBox["B",
2267 FormBox["\[Nu]",
2268 TraditionalForm]],
2269 TraditionalForm], " ",
2270 RowBox[{
2271 FormBox[
2272 SubscriptBox["P", "\<\"-\"\>"],
2273 TraditionalForm], ".", "vl"}]}],
2274 RowBox[{"2", " ",
2275 FormBox[
2276 SubscriptBox["c", "w"],
2277 TraditionalForm]}]], "-",
2278 FractionBox[
2279 RowBox[{"\[ImaginaryI]", " ",
2280 FormBox["e",
2281 TraditionalForm], " ",
2282 RowBox[{
2283 FormBox[
2284 SubscriptBox["P", "\<\"-\"\>"],
2285 TraditionalForm], ".", "vl"}], " ",
2286 FormBox[
2287 SubscriptBox["Wi",
2288 RowBox[{
2289 FormBox["\[Nu]",
2290 TraditionalForm], ",", "3"}]],
2291 TraditionalForm]}],
2292 RowBox[{"2", " ",
2293 FormBox[
2294 SubscriptBox["s", "w"],
2295 TraditionalForm]}]]}], ")"}]}]}], "+",
2296 RowBox[{
2297 FractionBox["1", "2"], " ", "\[ImaginaryI]", " ",
2298 RowBox[{
2299 FormBox[
2300 SuperscriptBox["vl", "\[Dagger]"],
2301 TraditionalForm], ".",
2302 FormBox[
2303 SuperscriptBox["\[Gamma]",
2304 FormBox["\[Nu]",
2305 TraditionalForm]],
2306 TraditionalForm], ".",
2307 RowBox[{"(",
2308 RowBox[{
2309 FormBox[
2310 RowBox[{
2311 SubscriptBox["\<\"\[PartialD]\"\>",
2312 FormBox["\[Mu]",
2313 TraditionalForm]], "(", "vl", ")"}],
2314 TraditionalForm], "+",
2315 FractionBox[
2316 RowBox[{"\[ImaginaryI]", " ",
2317 FormBox["e",
2318 TraditionalForm], " ",
2319 FormBox[
2320 SubscriptBox["B",
2321 FormBox["\[Mu]",
2322 TraditionalForm]],
2323 TraditionalForm], " ",
2324 RowBox[{
2325 FormBox[
2326 SubscriptBox["P", "\<\"-\"\>"],
2327 TraditionalForm], ".", "vl"}]}],
2328 RowBox[{"2", " ",
2329 FormBox[
2330 SubscriptBox["c", "w"],
2331 TraditionalForm]}]], "-",
2332 FractionBox[
2333 RowBox[{"\[ImaginaryI]", " ",
2334 FormBox["e",
2335 TraditionalForm], " ",
2336 RowBox[{
2337 FormBox[
2338 SubscriptBox["P", "\<\"-\"\>"],
2339 TraditionalForm], ".", "vl"}], " ",
2340 FormBox[
2341 SubscriptBox["Wi",
2342 RowBox[{
2343 FormBox["\[Mu]",
2344 TraditionalForm], ",", "3"}]],
2345 TraditionalForm]}],
2346 RowBox[{"2", " ",
2347 FormBox[
2348 SubscriptBox["s", "w"],
2349 TraditionalForm]}]]}], ")"}]}]}], "-",
2350 RowBox[{
2351 FractionBox["1",
2352 RowBox[{
2353 SqrtBox["2"], " ",
2354 FormBox[
2355 SubscriptBox["s", "w"],
2356 TraditionalForm]}]],
2357 RowBox[{
2358 FormBox["e",
2359 TraditionalForm], " ",
2360 RowBox[{"(",
2361 RowBox[{
2362 RowBox[{"CKM", " ",
2363 RowBox[{
2364 FormBox[
2365 SuperscriptBox["uq", "\[Dagger]"],
2366 TraditionalForm], ".",
2367 FormBox[
2368 SuperscriptBox["\[Gamma]",
2369 FormBox["\[Nu]",
2370 TraditionalForm]],
2371 TraditionalForm], ".",
2372 FormBox[
2373 SubscriptBox["P", "\<\"-\"\>"],
2374 TraditionalForm], ".", "dq"}], " ",
2375 FormBox[
2376 SubscriptBox["W",
2377 FormBox["\[Mu]",
2378 TraditionalForm]],
2379 TraditionalForm]}], "+",
2380 RowBox[{
2381 RowBox[{
2382 FormBox[
2383 SuperscriptBox["vl", "\[Dagger]"],
2384 TraditionalForm], ".",
2385 FormBox[
2386 SuperscriptBox["\[Gamma]",
2387 FormBox["\[Nu]",
2388 TraditionalForm]],
2389 TraditionalForm], ".",
2390 FormBox[
2391 SubscriptBox["P", "\<\"-\"\>"],
2392 TraditionalForm], ".", "l"}], " ",
2393 FormBox[
2394 SubscriptBox["W",
2395 FormBox["\[Mu]",
2396 TraditionalForm]],
2397 TraditionalForm]}], "+",
2398 RowBox[{"CKM", " ",
2399 RowBox[{
2400 FormBox[
2401 SuperscriptBox["uq", "\[Dagger]"],
2402 TraditionalForm], ".",
2403 FormBox[
2404 SuperscriptBox["\[Gamma]",
2405 FormBox["\[Mu]",
2406 TraditionalForm]],
2407 TraditionalForm], ".",
2408 FormBox[
2409 SubscriptBox["P", "\<\"-\"\>"],
2410 TraditionalForm], ".", "dq"}], " ",
2411 FormBox[
2412 SubscriptBox["W",
2413 FormBox["\[Nu]",
2414 TraditionalForm]],
2415 TraditionalForm]}], "+",
2416 RowBox[{
2417 RowBox[{
2418 FormBox[
2419 SuperscriptBox["vl", "\[Dagger]"],
2420 TraditionalForm], ".",
2421 FormBox[
2422 SuperscriptBox["\[Gamma]",
2423 FormBox["\[Mu]",
2424 TraditionalForm]],
2425 TraditionalForm], ".",
2426 FormBox[
2427 SubscriptBox["P", "\<\"-\"\>"],
2428 TraditionalForm], ".", "l"}], " ",
2429 FormBox[
2430 SubscriptBox["W",
2431 FormBox["\[Nu]",
2432 TraditionalForm]],
2433 TraditionalForm]}], "+",
2434 RowBox[{
2435 RowBox[{
2436 FormBox[
2437 SuperscriptBox["l", "\[Dagger]"],
2438 TraditionalForm], ".",
2439 FormBox[
2440 SuperscriptBox["\[Gamma]",
2441 FormBox["\[Nu]",
2442 TraditionalForm]],
2443 TraditionalForm], ".",
2444 FormBox[
2445 SubscriptBox["P", "\<\"-\"\>"],
2446 TraditionalForm], ".", "vl"}], " ",
2447 FormBox[
2448 SubsuperscriptBox["W",
2449 FormBox["\[Mu]",
2450 TraditionalForm], "\[Dagger]"],
2451 TraditionalForm]}], "+",
2452 RowBox[{
2453 RowBox[{
2454 FormBox[
2455 SuperscriptBox["dq", "\[Dagger]"],
2456 TraditionalForm], ".",
2457 FormBox[
2458 SuperscriptBox["\[Gamma]",
2459 FormBox["\[Nu]",
2460 TraditionalForm]],
2461 TraditionalForm], ".",
2462 FormBox[
2463 SubscriptBox["P", "\<\"-\"\>"],
2464 TraditionalForm], ".", "uq"}], " ",
2465 FormBox[
2466 SuperscriptBox["CKM", "\[Dagger]"],
2467 TraditionalForm], " ",
2468 FormBox[
2469 SubsuperscriptBox["W",
2470 FormBox["\[Mu]",
2471 TraditionalForm], "\[Dagger]"],
2472 TraditionalForm]}], "+",
2473 RowBox[{
2474 RowBox[{
2475 FormBox[
2476 SuperscriptBox["l", "\[Dagger]"],
2477 TraditionalForm], ".",
2478 FormBox[
2479 SuperscriptBox["\[Gamma]",
2480 FormBox["\[Mu]",
2481 TraditionalForm]],
2482 TraditionalForm], ".",
2483 FormBox[
2484 SubscriptBox["P", "\<\"-\"\>"],
2485 TraditionalForm], ".", "vl"}], " ",
2486 FormBox[
2487 SubsuperscriptBox["W",
2488 FormBox["\[Nu]",
2489 TraditionalForm], "\[Dagger]"],
2490 TraditionalForm]}], "+",
2491 RowBox[{
2492 RowBox[{
2493 FormBox[
2494 SuperscriptBox["dq", "\[Dagger]"],
2495 TraditionalForm], ".",
2496 FormBox[
2497 SuperscriptBox["\[Gamma]",
2498 FormBox["\[Mu]",
2499 TraditionalForm]],
2500 TraditionalForm], ".",
2501 FormBox[
2502 SubscriptBox["P", "\<\"-\"\>"],
2503 TraditionalForm], ".", "uq"}], " ",
2504 FormBox[
2505 SuperscriptBox["CKM", "\[Dagger]"],
2506 TraditionalForm], " ",
2507 FormBox[
2508 SubsuperscriptBox["W",
2509 FormBox["\[Nu]",
2510 TraditionalForm], "\[Dagger]"],
2511 TraditionalForm]}]}], ")"}]}]}]}], ")"}]}]}],
2512 TraditionalForm]], "Output",
2513 CellChangeTimes->{3.45406122390963*^9}]
2514}, Closed]]
2515}, Open ]],
2516
2517Cell[CellGroupData[{
2518
2519Cell["Yukawa sector", "Subsubsection",
2520 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
2521 3.411910393742139*^9, 3.411910394852953*^9}}],
2522
2523Cell[CellGroupData[{
2524
2525Cell[BoxData["LagY"], "Input",
2526 CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
2527 3.4119104032372026`*^9, 3.411910404165523*^9}, 3.4540523167591047`*^9, {
2528 3.454057108491197*^9, 3.4540571095455637`*^9}, 3.454061225806781*^9}],
2529
2530Cell[BoxData[
2531 FormBox[
2532 RowBox[{
2533 RowBox[{"-",
2534 FractionBox["1", "2"]}], " ",
2535 FormBox["\[Kappa]",
2536 TraditionalForm], " ",
2537 RowBox[{
2538 FormBox[
2539 SubscriptBox["h",
2540 RowBox[{
2541 FormBox["\[Mu]",
2542 TraditionalForm], ",",
2543 FormBox["\[Nu]",
2544 TraditionalForm]}]],
2545 TraditionalForm], ".",
2546 RowBox[{"(",
2547 RowBox[{"-",
2548 RowBox[{
2549 FormBox[
2550 SubscriptBox["\[Eta]",
2551 RowBox[{
2552 FormBox[
2553 FormBox["\[Mu]",
2554 TraditionalForm],
2555 TraditionalForm], ",",
2556 FormBox[
2557 FormBox["\[Nu]",
2558 TraditionalForm],
2559 TraditionalForm]}]],
2560 TraditionalForm], ".",
2561 RowBox[{"(",
2562 RowBox[{
2563 RowBox[{"-",
2564 FractionBox[
2565 RowBox[{
2566 RowBox[{"(",
2567 RowBox[{"H", "+", "v"}], ")"}], " ",
2568 RowBox[{
2569 FormBox[
2570 SubsuperscriptBox["dq",
2571 RowBox[{"s$194", ",", "n$194", ",", "i$194"}], "\[Dagger]"],
2572 TraditionalForm], ".",
2573 FormBox[
2574 SubscriptBox["dq",
2575 RowBox[{"r$194", ",", "n$194", ",", "i$194"}]],
2576 TraditionalForm]}], " ",
2577 FormBox[
2578 SubscriptBox[
2579 RowBox[{"(",
2580 SubscriptBox["P", "\<\"+\"\>"], ")"}],
2581 RowBox[{"s$194", ",", "r$194"}]],
2582 TraditionalForm], " ",
2583 FormBox[
2584 SubscriptBox["yd", "n$194"],
2585 TraditionalForm]}],
2586 SqrtBox["2"]]}], "-",
2587 FractionBox[
2588 RowBox[{
2589 RowBox[{"(",
2590 RowBox[{"H", "+", "v"}], ")"}], " ",
2591 RowBox[{
2592 FormBox[
2593 SubsuperscriptBox["dq",
2594 RowBox[{"r$195", ",", "n$195", ",", "i$195"}], "\[Dagger]"],
2595 TraditionalForm], ".",
2596 FormBox[
2597 SubscriptBox["dq",
2598 RowBox[{"s$195", ",", "n$195", ",", "i$195"}]],
2599 TraditionalForm]}], " ",
2600 FormBox[
2601 SubscriptBox[
2602 RowBox[{"(",
2603 SubscriptBox["P", "\<\"-\"\>"], ")"}],
2604 RowBox[{"r$195", ",", "s$195"}]],
2605 TraditionalForm], " ",
2606 FormBox[
2607 SubscriptBox["yd", "n$195"],
2608 TraditionalForm]}],
2609 SqrtBox["2"]], "-",
2610 FractionBox[
2611 RowBox[{
2612 RowBox[{"(",
2613 RowBox[{"H", "+", "v"}], ")"}], " ",
2614 RowBox[{
2615 FormBox[
2616 SubsuperscriptBox["l",
2617 RowBox[{"s$194", ",", "n$194"}], "\[Dagger]"],
2618 TraditionalForm], ".",
2619 FormBox[
2620 SubscriptBox["l",
2621 RowBox[{"r$194", ",", "n$194"}]],
2622 TraditionalForm]}], " ",
2623 FormBox[
2624 SubscriptBox[
2625 RowBox[{"(",
2626 SubscriptBox["P", "\<\"+\"\>"], ")"}],
2627 RowBox[{"s$194", ",", "r$194"}]],
2628 TraditionalForm], " ",
2629 FormBox[
2630 SubscriptBox["yl", "n$194"],
2631 TraditionalForm]}],
2632 SqrtBox["2"]], "-",
2633 FractionBox[
2634 RowBox[{
2635 RowBox[{"(",
2636 RowBox[{"H", "+", "v"}], ")"}], " ",
2637 RowBox[{
2638 FormBox[
2639 SubsuperscriptBox["l",
2640 RowBox[{"r$195", ",", "n$195"}], "\[Dagger]"],
2641 TraditionalForm], ".",
2642 FormBox[
2643 SubscriptBox["l",
2644 RowBox[{"s$195", ",", "n$195"}]],
2645 TraditionalForm]}], " ",
2646 FormBox[
2647 SubscriptBox[
2648 RowBox[{"(",
2649 SubscriptBox["P", "\<\"-\"\>"], ")"}],
2650 RowBox[{"r$195", ",", "s$195"}]],
2651 TraditionalForm], " ",
2652 FormBox[
2653 SubscriptBox["yl", "n$195"],
2654 TraditionalForm]}],
2655 SqrtBox["2"]], "-",
2656 FractionBox[
2657 RowBox[{
2658 RowBox[{"(",
2659 RowBox[{"H", "+", "v"}], ")"}], " ",
2660 RowBox[{
2661 FormBox[
2662 SubsuperscriptBox["uq",
2663 RowBox[{"s$194", ",", "n$194", ",", "i$194"}], "\[Dagger]"],
2664 TraditionalForm], ".",
2665 FormBox[
2666 SubscriptBox["uq",
2667 RowBox[{"r$194", ",", "n$194", ",", "i$194"}]],
2668 TraditionalForm]}], " ",
2669 FormBox[
2670 SubscriptBox[
2671 RowBox[{"(",
2672 SubscriptBox["P", "\<\"+\"\>"], ")"}],
2673 RowBox[{"s$194", ",", "r$194"}]],
2674 TraditionalForm], " ",
2675 FormBox[
2676 SubscriptBox["yu", "n$194"],
2677 TraditionalForm]}],
2678 SqrtBox["2"]], "-",
2679 FractionBox[
2680 RowBox[{
2681 RowBox[{"(",
2682 RowBox[{"H", "+", "v"}], ")"}], " ",
2683 RowBox[{
2684 FormBox[
2685 SubsuperscriptBox["uq",
2686 RowBox[{"r$195", ",", "n$195", ",", "i$195"}], "\[Dagger]"],
2687 TraditionalForm], ".",
2688 FormBox[
2689 SubscriptBox["uq",
2690 RowBox[{"s$195", ",", "n$195", ",", "i$195"}]],
2691 TraditionalForm]}], " ",
2692 FormBox[
2693 SubscriptBox[
2694 RowBox[{"(",
2695 SubscriptBox["P", "\<\"-\"\>"], ")"}],
2696 RowBox[{"r$195", ",", "s$195"}]],
2697 TraditionalForm], " ",
2698 FormBox[
2699 SubscriptBox["yu", "n$195"],
2700 TraditionalForm]}],
2701 SqrtBox["2"]]}], ")"}]}]}], ")"}]}]}], TraditionalForm]], "Output",
2702 CellChangeTimes->{3.454061226531508*^9}]
2703}, Closed]]
2704}, Open ]],
2705
2706Cell[CellGroupData[{
2707
2708Cell["The MUED total Lagrangian", "Subsubsection",
2709 CellChangeTimes->{{3.452857023659556*^9, 3.452857026196998*^9}, {
2710 3.454050603115306*^9, 3.454050604633585*^9}, {3.4540508481103973`*^9,
2711 3.454050850614224*^9}}],
2712
2713Cell[BoxData[
2714 RowBox[{
2715 RowBox[{"LagLED", ":=",
2716 RowBox[{"LagH", "+", "LagG", "+", "LagF", "+", "LagY"}]}], ";"}]], "Input",\
2717
2718 CellChangeTimes->{{3.454056821219754*^9, 3.4540568403918133`*^9}, {
2719 3.454057126321587*^9, 3.454057148256241*^9}}]
2720}, Open ]]
2721}, Open ]],
2722
2723Cell[CellGroupData[{
2724
2725Cell["Calculation of the Feynman Rules", "Section",
2726 CellChangeTimes->{{3.4050095696734943`*^9, 3.4050095702696466`*^9}, {
2727 3.449909557093049*^9, 3.449909562576384*^9}, 3.452923012401949*^9, {
2728 3.45405673743528*^9, 3.4540567428169327`*^9}}],
2729
2730Cell[CellGroupData[{
2731
2732Cell["Gauge sector", "Subsubsection",
2733 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
2734 3.454057138248085*^9, 3.454057139479412*^9}}],
2735
2736Cell[BoxData[
2737 RowBox[{"FeynmanRules", "[",
2738 RowBox[{"LagG", ",", " ",
2739 RowBox[{"FlavorExpand", "\[Rule]", " ", "True"}]}], "]"}]], "Input",
2740 CellChangeTimes->{{3.45406138410235*^9, 3.454061389893989*^9}}]
2741}, Open ]],
2742
2743Cell[CellGroupData[{
2744
2745Cell["Scalar sector", "Subsubsection",
2746 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
2747 3.411910274288354*^9, 3.41191027703699*^9}}],
2748
2749Cell[BoxData[
2750 RowBox[{"FeynmanRules", "[", "LagH", "]"}]], "Input",
2751 CellChangeTimes->{{3.454061456389081*^9, 3.454061463346387*^9}}]
2752}, Open ]],
2753
2754Cell[CellGroupData[{
2755
2756Cell["Fermion sector", "Subsubsection",
2757 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
2758 3.4119103528868923`*^9, 3.411910357404933*^9}}],
2759
2760Cell[BoxData[
2761 RowBox[{"FeynmanRules", "[", "LagF", "]"}]], "Input",
2762 CellChangeTimes->{{3.454056857284236*^9, 3.4540568672993917`*^9},
2763 3.4540569533264227`*^9, {3.4540571289311743`*^9, 3.4540571290168457`*^9}, {
2764 3.454061235719533*^9, 3.45406124186089*^9}}]
2765}, Open ]],
2766
2767Cell[CellGroupData[{
2768
2769Cell["Yukawa sector", "Subsubsection",
2770 CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
2771 3.411910393742139*^9, 3.411910394852953*^9}}],
2772
2773Cell[BoxData[
2774 RowBox[{"FeynmanRules", "[", "LagY", "]"}]], "Input",
2775 CellChangeTimes->{{3.454061488319646*^9, 3.454061493153029*^9}}]
2776}, Open ]],
2777
2778Cell[CellGroupData[{
2779
2780Cell["The MUED total Lagrangian", "Subsubsection",
2781 CellChangeTimes->{{3.452857023659556*^9, 3.452857026196998*^9}, {
2782 3.454050603115306*^9, 3.454050604633585*^9}, {3.4540508481103973`*^9,
2783 3.454050850614224*^9}}],
2784
2785Cell[BoxData[
2786 RowBox[{"FeynmanRules", "[",
2787 RowBox[{"LagLED", ",", " ",
2788 RowBox[{"ScreenOutput", "\[Rule]", " ", "False"}]}], "]"}]], "Input",
2789 CellChangeTimes->{{3.454056821219754*^9, 3.4540568403918133`*^9}, {
2790 3.454057126321587*^9, 3.454057148256241*^9}, {3.454061660010816*^9,
2791 3.454061677201768*^9}}]
2792}, Open ]]
2793}, Open ]]
2794}, Open ]]
2795},
2796WindowSize->{823, 679},
2797WindowMargins->{{8, Automatic}, {Automatic, 0}},
2798PrintingCopies->1,
2799PrintingPageRange->{1, Automatic},
2800ShowSelection->True,
2801Magnification->1.,
2802FrontEndVersion->"6.0 for Mac OS X x86 (32-bit) (June 19, 2007)",
2803StyleDefinitions->"Default.nb"
2804]
2805(* End of Notebook Content *)
2806
2807(* Internal cache information *)
2808(*CellTagsOutline
2809CellTagsIndex->{}
2810*)
2811(*CellTagsIndex
2812CellTagsIndex->{}
2813*)
2814(*NotebookFileOutline
2815Notebook[{
2816Cell[CellGroupData[{
2817Cell[590, 23, 294, 4, 76, "Title"],
2818Cell[CellGroupData[{
2819Cell[909, 31, 114, 1, 67, "Section"],
2820Cell[1026, 34, 120, 2, 31, "Input"],
2821Cell[1149, 38, 747, 15, 72, "Input"]
2822}, Open ]],
2823Cell[CellGroupData[{
2824Cell[1933, 58, 209, 3, 67, "Section"],
2825Cell[CellGroupData[{
2826Cell[2167, 65, 262, 4, 31, "Input"],
2827Cell[CellGroupData[{
2828Cell[2454, 73, 219, 4, 24, "Print"],
2829Cell[2676, 79, 194, 3, 24, "Print"],
2830Cell[2873, 84, 187, 3, 24, "Print"],
2831Cell[3063, 89, 326, 7, 24, "Print"],
2832Cell[3392, 98, 187, 3, 24, "Print"],
2833Cell[3582, 103, 226, 4, 24, "Print"],
2834Cell[3811, 109, 218, 4, 24, "Print"],
2835Cell[4032, 115, 223, 4, 24, "Print"],
2836Cell[4258, 121, 224, 4, 24, "Print"],
2837Cell[4485, 127, 224, 4, 24, "Print"],
2838Cell[4712, 133, 178, 3, 24, "Print"],
2839Cell[4893, 138, 208, 4, 24, "Print"],
2840Cell[5104, 144, 212, 4, 24, "Print"],
2841Cell[5319, 150, 209, 4, 24, "Print"],
2842Cell[5531, 156, 371, 8, 45, "Print"]
2843}, Open ]]
2844}, Open ]]
2845}, Open ]],
2846Cell[CellGroupData[{
2847Cell[5963, 171, 212, 3, 67, "Section"],
2848Cell[CellGroupData[{
2849Cell[6200, 178, 154, 2, 25, "Subsubsection"],
2850Cell[CellGroupData[{
2851Cell[6379, 184, 242, 3, 31, "Input"],
2852Cell[6624, 189, 15096, 478, 316, "Output"]
2853}, Closed]]
2854}, Open ]],
2855Cell[CellGroupData[{
2856Cell[21769, 673, 154, 2, 25, "Subsubsection"],
2857Cell[CellGroupData[{
2858Cell[21948, 679, 239, 3, 31, "Input"],
2859Cell[22190, 684, 13615, 444, 346, "Output"]
2860}, Closed]]
2861}, Open ]],
2862Cell[CellGroupData[{
2863Cell[35854, 1134, 158, 2, 25, "Subsubsection"],
2864Cell[CellGroupData[{
2865Cell[36037, 1140, 292, 4, 31, "Input"],
2866Cell[36332, 1146, 44635, 1366, 898, "Output"]
2867}, Closed]]
2868}, Open ]],
2869Cell[CellGroupData[{
2870Cell[81016, 2518, 155, 2, 25, "Subsubsection"],
2871Cell[CellGroupData[{
2872Cell[81196, 2524, 246, 3, 31, "Input"],
2873Cell[81445, 2529, 5607, 172, 375, "Output"]
2874}, Closed]]
2875}, Open ]],
2876Cell[CellGroupData[{
2877Cell[87101, 2707, 216, 3, 25, "Subsubsection"],
2878Cell[87320, 2712, 248, 6, 31, "Input"]
2879}, Open ]]
2880}, Open ]],
2881Cell[CellGroupData[{
2882Cell[87617, 2724, 244, 3, 67, "Section"],
2883Cell[CellGroupData[{
2884Cell[87886, 2731, 154, 2, 25, "Subsubsection"],
2885Cell[88043, 2735, 210, 4, 31, "Input"]
2886}, Open ]],
2887Cell[CellGroupData[{
2888Cell[88290, 2744, 154, 2, 25, "Subsubsection"],
2889Cell[88447, 2748, 134, 2, 31, "Input"]
2890}, Open ]],
2891Cell[CellGroupData[{
2892Cell[88618, 2755, 158, 2, 25, "Subsubsection"],
2893Cell[88779, 2759, 263, 4, 31, "Input"]
2894}, Open ]],
2895Cell[CellGroupData[{
2896Cell[89079, 2768, 155, 2, 25, "Subsubsection"],
2897Cell[89237, 2772, 134, 2, 31, "Input"]
2898}, Open ]],
2899Cell[CellGroupData[{
2900Cell[89408, 2779, 216, 3, 25, "Subsubsection"],
2901Cell[89627, 2784, 314, 6, 31, "Input"]
2902}, Open ]]
2903}, Open ]]
2904}, Open ]]
2905}
2906]
2907*)
2908
2909(* End of internal cache information *)