Context Navigation

Back to BUSSTEPP

BUSSTEPP: HiggsGG-LO-mtfinite.nb

File HiggsGG-LO-mtfinite.nb, 35.9 KB (added by Fabio Maltoni, 7 years ago)

Line
1	(* Content-type: application/vnd.wolfram.mathematica *)
2
3	(* Wolfram Notebook File *)
4	(* http://www.wolfram.com/nb *)
5
6	(* CreatedBy='Mathematica 8.0' *)
7
8	(CacheID: 234)
9	(* Internal cache information:
10	NotebookFileLineBreakTest
11	NotebookFileLineBreakTest
12	NotebookDataPosition[ 157, 7]
13	NotebookDataLength[ 36654, 1171]
14	NotebookOptionsPosition[ 34232, 1082]
15	NotebookOutlinePosition[ 34664, 1099]
16	CellTagsIndexPosition[ 34621, 1096]
17	WindowFrame->Normal*)
18
19	(* Beginning of Notebook Content *)
20	Notebook[{
21
22	Cell[CellGroupData[{
23	Cell["Calculation for gg>H with full top mass dependence ", "Title",
24	CellChangeTimes->{{3.692444489003084^9, 3.692444517685689^9}}],
25
26	Cell[CellGroupData[{
27
28	Cell["Input FeynCalc", "Subsection"],
29
30	Cell[CellGroupData[{
31
32	Cell[BoxData[
33	RowBox[{"<<", "FeynCalc`"}]], "Input",
34	CellChangeTimes->{3.692451954377186*^9}],
35
36	Cell[BoxData[
37	FormBox[
38	RowBox[{
39	StyleBox[
40	RowBox[{"Get", "::", "noopen"}], "MessageName"],
41	RowBox[{
42	":", " "}], "\<\"Cannot open \
43	\[NoBreak]\\!\\(\\*FormBox[\\\"\\\\\\\"FeynCalc`\\\\\\\"\\\", \
44	TraditionalForm]\\)\[NoBreak]. \\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", \
45	ButtonStyle->\\\"Link\\\", ButtonFrame->None, \
46	ButtonData:>\\\"paclet:ref/message/General/noopen\\\", ButtonNote -> \
47	\\\"Get::noopen\\\"]\\)\"\>"}], TraditionalForm]], "Message", "MSG",
48	CellChangeTimes->{3.692511575152804^9, 3.6925118342385178`^9,
49	3.6925130738099127`^9, 3.6925170817600527`^9, 3.692518106515353*^9}],
50
51	Cell[BoxData[
52	FormBox["$Failed", TraditionalForm]], "Output",
53	CellChangeTimes->{3.692511575155848^9, 3.6925118342578897`^9,
54	3.6925130738166857`^9, 3.692517081778297^9, 3.692518106567068*^9}]
55	}, Open ]],
56
57	Cell[CellGroupData[{
58
59	Cell[BoxData[
60	RowBox[{"<<",
61	"\"\</Users/marcozaro/Physics/feyncalc-master/FeynCalc/fc.m\>\""}]], "Input"],
62
63	Cell[CellGroupData[{
64
65	Cell[BoxData[
66	FormBox[
67	InterpretationBox[
68	RowBox[{
69	StyleBox["\<\"FeynCalc \"\>", "Text",
70	StripOnInput->False,
71	FontWeight->Bold], "\[InvisibleSpace]",
72	StyleBox["\<\"9.1.0 (development version). For help, use the \"\>", "Text",
73	StripOnInput->False], "\[InvisibleSpace]",
74	StyleBox[
75	TagBox[
76	ButtonBox[
77	RowBox[{"documentation", " ", "center"}],
78	BaseStyle->"Link",
79	ButtonData:>"paclet:FeynCalc/",
80	ButtonNote->"paclet:FeynCalc/"],
81	DisplayForm], "Text",
82	StripOnInput->False], "\[InvisibleSpace]",
83	StyleBox["\<\", check out the \"\>", "Text",
84	StripOnInput->False], "\[InvisibleSpace]",
85	StyleBox[
86	TagBox[
87	ButtonBox["wiki",
88	BaseStyle->"Hyperlink",
89	ButtonData:>{
90	URL["https://github.com/FeynCalc/feyncalc/wiki"], None},
91	ButtonNote->"https://github.com/FeynCalc/feyncalc/wiki"],
92	DisplayForm], "Text",
93	StripOnInput->False], "\[InvisibleSpace]",
94	StyleBox["\<\" or write to the \"\>", "Text",
95	StripOnInput->False], "\[InvisibleSpace]",
96	StyleBox[
97	TagBox[
98	ButtonBox[
99	RowBox[{"mailing", " ",
100	RowBox[{"list", "."}]}],
101	BaseStyle->"Hyperlink",
102	ButtonData:>{
103	URL["http://www.feyncalc.org/forum/"], None},
104	ButtonNote->"http://www.feyncalc.org/forum/"],
105	DisplayForm], "Text",
106	StripOnInput->False]}],
107	SequenceForm[
108	Style["FeynCalc ", "Text", Bold],
109	Style["9.1.0 (development version). For help, use the ", "Text"],
110	Style[
111	DisplayForm[
112	ButtonBox[
113	"documentation center", BaseStyle -> "Link", ButtonData :>
114	"paclet:FeynCalc/", ButtonNote -> "paclet:FeynCalc/"]], "Text"],
115	Style[", check out the ", "Text"],
116	Style[
117	DisplayForm[
118	ButtonBox["wiki", ButtonData :> {
119	URL["https://github.com/FeynCalc/feyncalc/wiki"], None}, BaseStyle ->
120	"Hyperlink", ButtonNote ->
121	"https://github.com/FeynCalc/feyncalc/wiki"]], "Text"],
122	Style[" or write to the ", "Text"],
123	Style[
124	DisplayForm[
125	ButtonBox["mailing list.", ButtonData :> {
126	URL["http://www.feyncalc.org/forum/"], None}, BaseStyle ->
127	"Hyperlink", ButtonNote -> "http://www.feyncalc.org/forum/"]], "Text"]],
128	Editable->False], TraditionalForm]], "Print",
129	CellChangeTimes->{3.692511576512598^9, 3.692511835506633^9,
130	3.692513076189733^9, 3.6925170831289682`^9, 3.692518108090785*^9}],
131
132	Cell[BoxData[
133	FormBox[
134	InterpretationBox[
135	RowBox[{
136	StyleBox["\<\"See also the supplied \"\>", "Text",
137	StripOnInput->False], "\[InvisibleSpace]",
138	StyleBox[
139	TagBox[
140	ButtonBox[
141	RowBox[{"examples", "."}],
142	BaseStyle->"Hyperlink",
143	ButtonFunction:>SystemOpen[
144	FileNameJoin[{FeynCalc`$FeynCalcDirectory, "Examples"}]],
145	Evaluator->Automatic,
146	Method->"Preemptive"],
147	DisplayForm], "Text",
148	StripOnInput->False], "\[InvisibleSpace]",
149	StyleBox["\<\" If you use FeynCalc in your research, please cite\"\>",
150	"Text",
151	StripOnInput->False]}],
152	SequenceForm[
153	Style["See also the supplied ", "Text"],
154	Style[
155	DisplayForm[
156	ButtonBox[
157	"examples.", BaseStyle -> "Hyperlink", ButtonFunction :> SystemOpen[
158	FileNameJoin[{FeynCalc`$FeynCalcDirectory, "Examples"}]], Evaluator ->
159	Automatic, Method -> "Preemptive"]], "Text"],
160	Style[" If you use FeynCalc in your research, please cite", "Text"]],
161	Editable->False], TraditionalForm]], "Print",
162	CellChangeTimes->{3.692511576512598^9, 3.692511835506633^9,
163	3.692513076189733^9, 3.6925170831289682`^9, 3.692518108099052*^9}],
164
165	Cell[BoxData[
166	FormBox[
167	StyleBox["\<\" \[Bullet] V. Shtabovenko, R. Mertig and F. Orellana, TUM-EFT \
168	71/15, arXiv:1601.01167\"\>", "Text",
169	StripOnInput->False], TraditionalForm]], "Print",
170	CellChangeTimes->{3.692511576512598^9, 3.692511835506633^9,
171	3.692513076189733^9, 3.6925170831289682`^9, 3.6925181081053534`*^9}],
172
173	Cell[BoxData[
174	FormBox[
175	StyleBox["\<\" \[Bullet] R. Mertig, M. B\[ODoubleDot]hm, and A. Denner, \
176	Comput. Phys. Commun., 64, 345-359, 1991.\"\>", "Text",
177	StripOnInput->False], TraditionalForm]], "Print",
178	CellChangeTimes->{3.692511576512598^9, 3.692511835506633^9,
179	3.692513076189733^9, 3.6925170831289682`^9, 3.6925181081130238`*^9}]
180	}, Open ]]
181	}, Open ]]
182	}, Open ]],
183
184	Cell[CellGroupData[{
185
186	Cell["Preliminaries", "Subsection"],
187
188	Cell[CellGroupData[{
189
190	Cell["Kinematics 2->1 ", "Subsubsection"],
191
192	Cell[BoxData[
193	RowBox[{"\[IndentingNewLine]",
194	RowBox[{
195	RowBox[{
196	RowBox[{
197	RowBox[{"ScalarProduct", "[",
198	RowBox[{"q1", ",", "q1"}], "]"}], "=", "0"}], ";"}],
199	"\[IndentingNewLine]",
200	RowBox[{
201	RowBox[{
202	RowBox[{"ScalarProduct", "[",
203	RowBox[{"q2", ",", "q2"}], "]"}], "=", "0"}], ";"}],
204	"\[IndentingNewLine]",
205	RowBox[{
206	RowBox[{
207	RowBox[{"ScalarProduct", "[",
208	RowBox[{"q1", ",", "q2"}], "]"}], "=",
209	RowBox[{
210	RowBox[{"mh", "^", "2"}], "/", "2"}]}], ";"}], "\[IndentingNewLine]",
211	RowBox[{
212	RowBox[{
213	RowBox[{"ScalarProduct", "[",
214	RowBox[{"q", ",", "q1"}], "]"}], "=",
215	RowBox[{
216	RowBox[{"mh", "^", "2"}], "/", "2"}]}], ";"}], "\[IndentingNewLine]",
217	RowBox[{
218	RowBox[{
219	RowBox[{"ScalarProduct", "[",
220	RowBox[{"q", ",", "q2"}], "]"}], "=",
221	RowBox[{
222	RowBox[{"mh", "^", "2"}], "/", "2"}]}], ";"}], "\[IndentingNewLine]",
223	RowBox[{
224	RowBox[{
225	RowBox[{"ScalarProduct", "[",
226	RowBox[{"q", ",", "q"}], "]"}], "=",
227	RowBox[{"mh", "^", "2"}]}], ";"}], "\[IndentingNewLine]"}]}]], "Input",
228	CellChangeTimes->{{3.69245254913195^9, 3.692452553746846^9}}]
229	}, Open ]]
230	}, Open ]],
231
232	Cell[CellGroupData[{
233
234	Cell["Amplitude (2 diagrams)", "Subsection"],
235
236	Cell[CellGroupData[{
237
238	Cell[BoxData[
239	RowBox[{"\[IndentingNewLine]",
240	RowBox[{
241	RowBox[{"Amp", "=",
242	RowBox[{
243	RowBox[{
244	RowBox[{"(",
245	RowBox[{"-", "I"}], ")"}],
246	RowBox[{"(",
247	RowBox[{
248	RowBox[{
249	RowBox[{"(",
250	RowBox[{
251	RowBox[{
252	RowBox[{"-",
253	RowBox[{
254	RowBox[{"(",
255	RowBox[{
256	RowBox[{"-", "I"}], " ", "gs"}], ")"}], "^", "2"}]}], " ",
257	RowBox[{"(",
258	RowBox[{
259	RowBox[{"-", " ", "I"}], " ",
260	RowBox[{"mt", " ", "/", "v"}]}], ")"}], " ", "*", " ",
261	RowBox[{"I", "^", "3"}], "*",
262	RowBox[{"deltaAB", "/", "2"}], "*",
263	RowBox[{"Tr", "[",
264	RowBox[{
265	RowBox[{
266	RowBox[{"(",
267	RowBox[{
268	RowBox[{"GSD", "[",
269	RowBox[{"l", "+", "q1"}], "]"}], "+", "mt"}], ")"}], ".",
270	RowBox[{"GAD", "[", "mu", "]"}], ".",
271	RowBox[{"(",
272	RowBox[{
273	RowBox[{"GSD", "[", "l", "]"}], "+", "mt"}], ")"}], ".",
274	RowBox[{"GAD", "[", "nu", "]"}], ".",
275	RowBox[{"(",
276	RowBox[{
277	RowBox[{"GSD", "[",
278	RowBox[{"l", "-", "q2"}], "]"}], "+", "mt"}], ")"}]}], "+",
279
280	RowBox[{
281	RowBox[{"(",
282	RowBox[{
283	RowBox[{"GSD", "[",
284	RowBox[{"l", "+", "q2"}], "]"}], "+", "mt"}], ")"}], ".",
285	RowBox[{"GAD", "[", "nu", "]"}], ".",
286	RowBox[{"(",
287	RowBox[{
288	RowBox[{"GSD", "[", "l", "]"}], "+", "mt"}], ")"}], ".",
289	RowBox[{"GAD", "[", "mu", "]"}], ".",
290	RowBox[{"(",
291	RowBox[{
292	RowBox[{"GSD", "[",
293	RowBox[{"l", "-", "q1"}], "]"}], "+", "mt"}], ")"}]}]}],
294	"]"}]}], " ", "//", "DiracSimplify"}], ")"}], "/.", " ",
295	RowBox[{
296	RowBox[{"Pair", "[",
297	RowBox[{
298	RowBox[{"Momentum", "[", "q2", "]"}], ",",
299	RowBox[{"LorentzIndex", "[", "nu", "]"}]}], "]"}], "\[Rule]",
300	"0"}]}], "/.", " ",
301	RowBox[{
302	RowBox[{"Pair", "[",
303	RowBox[{
304	RowBox[{"Momentum", "[", "q1", "]"}], ",",
305	RowBox[{"LorentzIndex", "[", "mu", "]"}]}], "]"}], "\[Rule]",
306	"0"}]}], ")"}]}], " ", "//", "Simplify"}]}],
307	"\[IndentingNewLine]"}]}]], "Input"],
308
309	Cell[BoxData[
310	FormBox[
311	FractionBox[
312	RowBox[{"2", " ", "\[ImaginaryI]", " ", "deltaAB", " ",
313	SuperscriptBox["gs", "2"], " ",
314	SuperscriptBox["mt", "2"], " ",
315	RowBox[{"(",
316	RowBox[{
317	RowBox[{"-",
318	RowBox[{
319	FormBox[
320	SuperscriptBox["g",
321	RowBox[{
322	FormBox[
323	FormBox[
324	FormBox["mu",
325	TraditionalForm],
326	TraditionalForm],
327	TraditionalForm],
328	FormBox[
329	FormBox[
330	FormBox["nu",
331	TraditionalForm],
332	TraditionalForm],
333	TraditionalForm]}]],
334	TraditionalForm], " ",
335	RowBox[{"(",
336	RowBox[{
337	RowBox[{"2", " ",
338	SuperscriptBox[
339	FormBox[
340	FormBox["l",
341	TraditionalForm],
342	TraditionalForm], "2"]}], "+",
343	SuperscriptBox["mh", "2"], "-",
344	RowBox[{"2", " ",
345	SuperscriptBox["mt", "2"]}]}], ")"}]}]}], "+",
346	RowBox[{"8", " ",
347	FormBox[
348	SuperscriptBox[
349	FormBox[
350	FormBox["l",
351	TraditionalForm],
352	TraditionalForm],
353	FormBox[
354	FormBox[
355	FormBox["mu",
356	TraditionalForm],
357	TraditionalForm],
358	TraditionalForm]],
359	TraditionalForm], " ",
360	FormBox[
361	SuperscriptBox[
362	FormBox[
363	FormBox["l",
364	TraditionalForm],
365	TraditionalForm],
366	FormBox[
367	FormBox[
368	FormBox["nu",
369	TraditionalForm],
370	TraditionalForm],
371	TraditionalForm]],
372	TraditionalForm]}], "+",
373	RowBox[{"2", " ",
374	FormBox[
375	SuperscriptBox[
376	FormBox[
377	FormBox["q2",
378	TraditionalForm],
379	TraditionalForm],
380	FormBox[
381	FormBox[
382	FormBox["mu",
383	TraditionalForm],
384	TraditionalForm],
385	TraditionalForm]],
386	TraditionalForm], " ",
387	FormBox[
388	SuperscriptBox[
389	FormBox[
390	FormBox["q1",
391	TraditionalForm],
392	TraditionalForm],
393	FormBox[
394	FormBox[
395	FormBox["nu",
396	TraditionalForm],
397	TraditionalForm],
398	TraditionalForm]],
399	TraditionalForm]}], "-",
400	RowBox[{"2", " ",
401	FormBox[
402	SuperscriptBox[
403	FormBox[
404	FormBox["q1",
405	TraditionalForm],
406	TraditionalForm],
407	FormBox[
408	FormBox[
409	FormBox["mu",
410	TraditionalForm],
411	TraditionalForm],
412	TraditionalForm]],
413	TraditionalForm], " ",
414	FormBox[
415	SuperscriptBox[
416	FormBox[
417	FormBox["q2",
418	TraditionalForm],
419	TraditionalForm],
420	FormBox[
421	FormBox[
422	FormBox["nu",
423	TraditionalForm],
424	TraditionalForm],
425	TraditionalForm]],
426	TraditionalForm]}]}], ")"}]}], "v"], TraditionalForm]], "Output",
427	CellChangeTimes->{3.692452170263329^9, 3.69245255666861^9,
428	3.692452972716131^9, 3.6924538156646147`^9, 3.692510939269392*^9,
429	3.692511576946205^9, 3.692511835928535^9, 3.692513076828374*^9,
430	3.6925170835612497`^9, 3.692518108761848^9}]
431	}, Open ]]
432	}, Open ]],
433
434	Cell[CellGroupData[{
435
436	Cell["Let's ask FeynCalc to do the tensor reduction", "Subsection"],
437
438	Cell[CellGroupData[{
439
440	Cell[BoxData[
441	RowBox[{"\[IndentingNewLine]",
442	RowBox[{
443	RowBox[{
444	RowBox[{"res", "=",
445	RowBox[{
446	RowBox[{
447	RowBox[{
448	RowBox[{
449	RowBox[{"1", "/",
450	RowBox[{
451	RowBox[{"(",
452	RowBox[{"2", " ", "Pi"}], ")"}], "^", "4"}]}], "*",
453	RowBox[{"OneLoop", "[",
454	RowBox[{"l", ",",
455	RowBox[{
456	RowBox[{
457	RowBox[{"FAD", "[",
458	RowBox[{
459	RowBox[{"{",
460	RowBox[{"l", ",", "mt"}], "}"}], ",",
461	RowBox[{"{",
462	RowBox[{
463	RowBox[{"l", "+", "q1"}], ",", "mt"}], "}"}], ",",
464	RowBox[{"{",
465	RowBox[{
466	RowBox[{"l", "-", "q2"}], ",", "mt"}], "}"}]}], "]"}], " ",
467	"Amp"}], "//", "Contract"}]}], "]"}]}], "//", "PaVeReduce"}], "//",
468	"Factor"}], "//", "Simplify"}]}], ";"}], "\[IndentingNewLine]",
469	RowBox[{"res", "=",
470	RowBox[{
471	RowBox[{"(",
472	RowBox[{
473	RowBox[{"res", "/.", " ",
474	RowBox[{
475	RowBox[{"Pair", "[",
476	RowBox[{
477	RowBox[{"Momentum", "[", "q2", "]"}], ",",
478	RowBox[{"LorentzIndex", "[", "nu", "]"}]}], "]"}], "\[Rule]",
479	"0"}]}], "/.", " ",
480	RowBox[{
481	RowBox[{"Pair", "[",
482	RowBox[{
483	RowBox[{"Momentum", "[", "q1", "]"}], ",",
484	RowBox[{"LorentzIndex", "[", "mu", "]"}]}], "]"}], "\[Rule]",
485	"0"}]}], " ", ")"}], "//", "Simplify"}]}]}]}]], "Input"],
486
487	Cell[BoxData[
488	FormBox[
489	RowBox[{
490	FractionBox["1",
491	RowBox[{"8", " ",
492	SuperscriptBox["\[Pi]", "2"], " ",
493	RowBox[{"(",
494	RowBox[{"D", "-", "2"}], ")"}], " ",
495	SuperscriptBox["mh", "2"], " ", "v"}]],
496	RowBox[{"deltaAB", " ",
497	SuperscriptBox["gs", "2"], " ",
498	SuperscriptBox["mt", "2"], " ",
499	RowBox[{"(",
500	RowBox[{
501	RowBox[{
502	SuperscriptBox["mh", "2"], " ",
503	FormBox[
504	SuperscriptBox[
505	OverscriptBox["g", "_"],
506	RowBox[{
507	FormBox[
508	FormBox[
509	FormBox["mu",
510	TraditionalForm],
511	TraditionalForm],
512	TraditionalForm],
513	FormBox[
514	FormBox[
515	FormBox["nu",
516	TraditionalForm],
517	TraditionalForm],
518	TraditionalForm]}]],
519	TraditionalForm]}], "-",
520	RowBox[{"2", " ",
521	FormBox[
522	SuperscriptBox[
523	FormBox[
524	OverscriptBox[
525	FormBox["q2",
526	TraditionalForm], "_"],
527	TraditionalForm],
528	FormBox[
529	FormBox[
530	FormBox["mu",
531	TraditionalForm],
532	TraditionalForm],
533	TraditionalForm]],
534	TraditionalForm], " ",
535	FormBox[
536	SuperscriptBox[
537	FormBox[
538	OverscriptBox[
539	FormBox["q1",
540	TraditionalForm], "_"],
541	TraditionalForm],
542	FormBox[
543	FormBox[
544	FormBox["nu",
545	TraditionalForm],
546	TraditionalForm],
547	TraditionalForm]],
548	TraditionalForm]}]}], ")"}], " ",
549	RowBox[{"(",
550	RowBox[{
551	RowBox[{"2", " ",
552	RowBox[{"(",
553	RowBox[{"D", "-", "4"}], ")"}], " ",
554	FormBox[
555	RowBox[{
556	SubscriptBox["\<\"B\"\>", "\<\"0\"\>"], "(",
557	RowBox[{
558	SuperscriptBox["mh", "2"], ",",
559	SuperscriptBox["mt", "2"], ",",
560	SuperscriptBox["mt", "2"]}], ")"}],
561	TraditionalForm]}], "+",
562	RowBox[{
563	RowBox[{"(",
564	RowBox[{
565	RowBox[{
566	RowBox[{"(",
567	RowBox[{"D", "-", "2"}], ")"}], " ",
568	SuperscriptBox["mh", "2"]}], "-",
569	RowBox[{"8", " ",
570	SuperscriptBox["mt", "2"]}]}], ")"}], " ",
571	FormBox[
572	RowBox[{
573	SubscriptBox["\<\"C\"\>", "\<\"0\"\>"], "(",
574	RowBox[{"0", ",", "0", ",",
575	SuperscriptBox["mh", "2"], ",",
576	SuperscriptBox["mt", "2"], ",",
577	SuperscriptBox["mt", "2"], ",",
578	SuperscriptBox["mt", "2"]}], ")"}],
579	TraditionalForm]}]}], ")"}]}]}], TraditionalForm]], "Output",
580	CellChangeTimes->{3.69245217851362^9, 3.692452559992298^9,
581	3.692452977284349^9, 3.692453819606213^9, 3.692510960462818*^9,
582	3.6925115775440702`^9, 3.692511836507619^9, 3.6925130777097187`*^9,
583	3.692517084203616^9, 3.6925181096158943`^9}]
584	}, Open ]]
585	}, Open ]],
586
587	Cell[CellGroupData[{
588
589	Cell["\<\
590	The scalar integral C0 can be evaluated with the help of the Feynman \
591	parameters (by hand), and the result is (\[Tau] = mh^2 / (4 mt^2):\
592	\>", "Subsection",
593	CellChangeTimes->{{3.692515977056491^9, 3.6925159820148697`^9}, {
594	3.692516016057069^9, 3.69251602591861^9}, {3.6925179204440413`*^9,
595	3.692517920634293^9}, {3.692520466725155^9, 3.692520468165311*^9}, {
596	3.692521738384965^9, 3.692521741980186^9}}],
597
598	Cell["\<\
599	c0x=-I/(16 Pi^2)1/mt^2Integrate[1/(1-4 \[Tau] x y),{y,0,1-x}, Assumptions \
600	\[Rule] {\[Tau]<1, \[Tau]>0, x>0, x<1}]//Simplify;
601	c0 = Integrate[c0x, {x,0,1}, Assumptions \[Rule] {\[Tau]<1, \[Tau]>0}];
602	c0FC=(2 Pi)^4/(I Pi^2) c0;\
603	\>", "Input",
604	CellChangeTimes->{{3.692511045749646^9, 3.692511049611127^9}, {
605	3.692511557857853^9, 3.692511560335854^9}, {3.69251225244053*^9,
606	3.692512255516741^9}, {3.69251503727313^9, 3.692515038073168*^9}, {
607	3.692515120413361^9, 3.692515195614604^9}, {3.6925155941637917`*^9,
608	3.692515599171131^9}, {3.692515651379901^9, 3.69251568391683*^9}, {
609	3.692515780222146^9, 3.69251583934918^9}, {3.692515875890379*^9,
610	3.692515880441649^9}, {3.692516835243518^9, 3.692516838585149*^9}}]
611	}, Open ]],
612
613	Cell[CellGroupData[{
614
615	Cell["\<\
616	The scalar integral B0, we just need the 1/\[Epsilon] part, as it comes \
617	multiplied by D-4)\
618	\>", "Subsection",
619	CellChangeTimes->{{3.692515977056491^9, 3.6925159820148697`^9}, {
620	3.692516016057069^9, 3.69251602591861^9}, {3.6925168604493313`*^9,
621	3.692516890286077^9}, {3.692520454657867^9, 3.692520455316841*^9}}],
622
623	Cell[BoxData[{
624	RowBox[{
625	RowBox[{"b01oeps", "=",
626	RowBox[{
627	RowBox[{"I", " ", "/",
628	RowBox[{
629	RowBox[{"(",
630	RowBox[{"4", " ", "Pi"}], ")"}], "^", "2"}]}], " ",
631	RowBox[{"2", "/",
632	RowBox[{"(",
633	RowBox[{"4", "-", "D"}], ")"}]}]}]}], ";"}], "\[IndentingNewLine]",
634	RowBox[{
635	RowBox[{"b0FC", "=",
636	RowBox[{
637	RowBox[{
638	RowBox[{
639	RowBox[{"(",
640	RowBox[{"2", " ", "Pi"}], ")"}], "^", "4"}], "/",
641	RowBox[{"(",
642	RowBox[{"I", " ",
643	RowBox[{"Pi", "^", "2"}]}], ")"}]}], " ", "b01oeps"}]}],
644	";"}]}], "Input",
645	CellChangeTimes->{{3.692516899350171^9, 3.692517026300687^9}, {
646	3.692517146586252^9, 3.692517151088367^9}}]
647	}, Open ]],
648
649	Cell[CellGroupData[{
650
651	Cell["\<\
652	This is rather cumbersome, but it is just to replace FeynCalc\
653	\[CloseCurlyQuote]s C0 and B0 functions with ours, as the commented (simpler) \
654	expression seems not to work on Mathematica 10 + FC9\
655	\>", "Subsection",
656	CellChangeTimes->{
657	3.692520284321138^9, {3.692520319819466^9, 3.692520379301304*^9}, {
658	3.6925204827584248`^9, 3.692520484348297^9}}],
659
660	Cell[BoxData[
661	RowBox[{"(*",
662	RowBox[{
663	RowBox[{"subint", "[", "expr_", "]"}], " ", ":=", " ",
664	RowBox[{"Simplify", "[",
665	RowBox[{"expr", " ", "/.", " ",
666	RowBox[{"{",
667	RowBox[{
668	RowBox[{
669	RowBox[{"C0", "[", "x_", "]"}], "\[Rule]", "c0FC"}], ",", " ",
670	RowBox[{"\[AliasDelimiter]",
671	RowBox[{
672	RowBox[{
673	RowBox[{
674	RowBox[{
675	RowBox[{
676	RowBox[{"B0", "[", "x_", "]"}], "\[Rule]", "b0FC"}], " ", "}"}],
677	"]"}], ";"}], "*)"}]}]}]}]}]}]}]}]], "Input",
678	CellChangeTimes->{{3.692520387110497^9, 3.6925204126273193`^9}, {
679	3.6925204890200253`^9, 3.6925205027299833`^9}}],
680
681	Cell[BoxData[
682	RowBox[{
683	RowBox[{
684	RowBox[{"subint", "[", "expr_", "]"}], " ", ":=", " ",
685	RowBox[{"Simplify", "[",
686	RowBox[{"expr", " ", "/.", " ",
687	RowBox[{"{",
688	RowBox[{
689	RowBox[{
690	RowBox[{
691	RowBox[{"PaVe", "[",
692	RowBox[{"x_", ",", "y_", ",", "z_"}], "]"}], " ", "/;", " ",
693	RowBox[{
694	RowBox[{"Length", "[",
695	RowBox[{"Join", "[",
696	RowBox[{"y", ",", "z"}], "]"}], "]"}], " ", "\[Equal]", " ",
697	"6"}]}], "\[Rule]", "c0FC"}], ",", "\[IndentingNewLine]",
698	RowBox[{
699	RowBox[{
700	RowBox[{"PaVe", "[",
701	RowBox[{"x_", ",", "y_", ",", "z_"}], "]"}], " ", "/;", " ",
702	RowBox[{
703	RowBox[{"Length", "[",
704	RowBox[{"Join", "[",
705	RowBox[{"y", ",", "z"}], "]"}], "]"}], " ", "\[Equal]", " ",
706	"3"}]}], "\[Rule]", "b0FC"}]}], " ", "}"}]}], "]"}]}],
707	";"}]], "Input",
708	CellChangeTimes->{{3.692511088650519^9, 3.6925111026315603`^9}, {
709	3.69251122689157^9, 3.692511251466298^9}, {3.692511287165449*^9,
710	3.692511390180458^9}, {3.692511420580585^9, 3.692511428562236*^9}, {
711	3.692511486942605^9, 3.692511501291944^9}, {3.692511541963472*^9,
712	3.692511544297491^9}, {3.6925115908150187`^9, 3.692511592571269*^9}, {
713	3.69251164296789^9, 3.692511663704157^9}, {3.6925117165619698`*^9,
714	3.692511817361938^9}, 3.692511849421681^9, {3.692512176273435*^9,
715	3.692512189790781^9}, {3.692513611230301^9, 3.69251361647466*^9}, {
716	3.692513648480934^9, 3.6925136568424397`^9}, {3.692513694800782*^9,
717	3.692513702188364^9}, {3.6925170421818333`^9, 3.69251705299717*^9}, {
718	3.6925172275141287`^9, 3.6925172318887367`^9}}],
719
720	Cell[BoxData[""], "Input",
721	CellChangeTimes->{{3.692513736504738^9, 3.69251374487772^9}}]
722	}, Open ]],
723
724	Cell[CellGroupData[{
725
726	Cell["\<\
727	Let's take the mt->Infinity limit and see that the amplitude does not depend \
728	on m_top:\
729	\>", "Subsection",
730	CellChangeTimes->{3.692520284321138*^9}],
731
732	Cell[CellGroupData[{
733
734	Cell[BoxData[
735	RowBox[{"myamp", "=",
736	RowBox[{
737	RowBox[{"Normal", "[",
738	RowBox[{"Series", "[",
739	RowBox[{
740	RowBox[{
741	RowBox[{
742	RowBox[{
743	RowBox[{
744	RowBox[{
745	RowBox[{"(", " ",
746	RowBox[{"res", " ", "//", "Simplify"}], ")"}], "/.", " ",
747	RowBox[{
748	RowBox[{"gs", "^", "2"}], " ", "\[Rule]", " ",
749	RowBox[{"as", " ", "4", " ", "Pi"}]}]}], "/.", " ",
750	RowBox[{"mh2", "\[Rule]",
751	RowBox[{"mh", "^", "2"}]}]}], "/.", " ",
752	RowBox[{"\[Tau]", "\[Rule]", " ",
753	RowBox[{
754	RowBox[{
755	RowBox[{"mh", "^", "2"}], "/", "4"}], "/",
756	RowBox[{"mt", "^", "2"}]}]}]}], "//", "PowerExpand"}], "//",
757	"FullSimplify"}], ",",
758	RowBox[{"{",
759	RowBox[{"mt", ",", "Infinity", ",", "4"}], "}"}]}], "]"}], "]"}], "//",
760	"Simplify"}]}]], "Input",
761	CellChangeTimes->{3.692511068164669*^9}],
762
763	Cell[BoxData[
764	FormBox[
765	RowBox[{
766	FractionBox["1",
767	RowBox[{"2", " ", "\[Pi]", " ",
768	RowBox[{"(",
769	RowBox[{"D", "-", "2"}], ")"}], " ",
770	SuperscriptBox["mh", "2"], " ", "v"}]],
771	RowBox[{"as", " ", "deltaAB", " ",
772	SuperscriptBox["mt", "2"], " ",
773	RowBox[{"(",
774	RowBox[{
775	RowBox[{
776	SuperscriptBox["mh", "2"], " ",
777	FormBox[
778	SuperscriptBox[
779	OverscriptBox["g", "_"],
780	RowBox[{
781	FormBox[
782	FormBox[
783	FormBox["mu",
784	TraditionalForm],
785	TraditionalForm],
786	TraditionalForm],
787	FormBox[
788	FormBox[
789	FormBox["nu",
790	TraditionalForm],
791	TraditionalForm],
792	TraditionalForm]}]],
793	TraditionalForm]}], "-",
794	RowBox[{"2", " ",
795	FormBox[
796	SuperscriptBox[
797	FormBox[
798	OverscriptBox[
799	FormBox["q2",
800	TraditionalForm], "_"],
801	TraditionalForm],
802	FormBox[
803	FormBox[
804	FormBox["mu",
805	TraditionalForm],
806	TraditionalForm],
807	TraditionalForm]],
808	TraditionalForm], " ",
809	FormBox[
810	SuperscriptBox[
811	FormBox[
812	OverscriptBox[
813	FormBox["q1",
814	TraditionalForm], "_"],
815	TraditionalForm],
816	FormBox[
817	FormBox[
818	FormBox["nu",
819	TraditionalForm],
820	TraditionalForm],
821	TraditionalForm]],
822	TraditionalForm]}]}], ")"}], " ",
823	RowBox[{"(",
824	RowBox[{
825	RowBox[{"2", " ",
826	RowBox[{"(",
827	RowBox[{"D", "-", "4"}], ")"}], " ",
828	FormBox[
829	RowBox[{
830	SubscriptBox["\<\"B\"\>", "\<\"0\"\>"], "(",
831	RowBox[{
832	SuperscriptBox["mh", "2"], ",",
833	SuperscriptBox["mt", "2"], ",",
834	SuperscriptBox["mt", "2"]}], ")"}],
835	TraditionalForm]}], "+",
836	RowBox[{
837	RowBox[{"(",
838	RowBox[{
839	RowBox[{
840	RowBox[{"(",
841	RowBox[{"D", "-", "2"}], ")"}], " ",
842	SuperscriptBox["mh", "2"]}], "-",
843	RowBox[{"8", " ",
844	SuperscriptBox["mt", "2"]}]}], ")"}], " ",
845	FormBox[
846	RowBox[{
847	SubscriptBox["\<\"C\"\>", "\<\"0\"\>"], "(",
848	RowBox[{"0", ",", "0", ",",
849	SuperscriptBox["mh", "2"], ",",
850	SuperscriptBox["mt", "2"], ",",
851	SuperscriptBox["mt", "2"], ",",
852	SuperscriptBox["mt", "2"]}], ")"}],
853	TraditionalForm]}]}], ")"}]}]}], TraditionalForm]], "Output",
854	CellChangeTimes->{{3.692511052510167^9, 3.692511074721478^9},
855	3.692511518596458^9, {3.6925115780945807`^9, 3.692511597069365*^9}, {
856	3.6925116517937403`^9, 3.692511666762609^9}, 3.692511727680943*^9,
857	3.692511836997037^9, 3.6925121970051394`^9, 3.692513126501425*^9,
858	3.6925137048363113`^9, 3.692517062946196^9, 3.6925171054400797`*^9,
859	3.692517156544361^9, 3.692517246551955^9, 3.692518130912465*^9}]
860	}, Open ]],
861
862	Cell[CellGroupData[{
863
864	Cell[BoxData[
865	RowBox[{"finalamp", " ", "=", " ",
866	RowBox[{
867	RowBox[{
868	RowBox[{"subint", "[", "myamp", "]"}], "/.", " ",
869	RowBox[{"{",
870	RowBox[{
871	RowBox[{"D", "\[Rule]", "4"}], ",", " ",
872	RowBox[{
873	RowBox[{"mt", "^", "2"}], "\[Rule]",
874	RowBox[{
875	RowBox[{"mh", "^", "2"}], "/",
876	RowBox[{"(",
877	RowBox[{"4", "\[Tau]"}], ")"}]}]}]}], "}"}]}], " ", "//",
878	"Simplify"}]}]], "Input",
879	CellChangeTimes->{{3.692511396567629^9, 3.69251140477779^9}, {
880	3.69251718353259^9, 3.692517257077794^9}, {3.692517912037135*^9,
881	3.692517914900489^9}, {3.6925179647563257`^9, 3.692517976859829*^9}}],
882
883	Cell[BoxData[
884	FormBox[
885	RowBox[{"-",
886	FractionBox[
887	RowBox[{"as", " ", "deltaAB", " ",
888	RowBox[{"(",
889	RowBox[{
890	RowBox[{
891	RowBox[{"(",
892	RowBox[{"\[Tau]", "-", "1"}], ")"}], " ",
893	TemplateBox[{"2",FractionBox[
894	RowBox[{"2", " ", "\[Tau]"}],
895	RowBox[{"\[Tau]", "+",
896	RowBox[{"\[ImaginaryI]", " ",
897	SqrtBox[
898	RowBox[{
899	RowBox[{"-",
900	RowBox[{"(",
901	RowBox[{"\[Tau]", "-", "1"}], ")"}]}], " ",
902	"\[Tau]"}]]}]}]]},
903	"PolyLog"]}], "+",
904	RowBox[{
905	RowBox[{"(",
906	RowBox[{"\[Tau]", "-", "1"}], ")"}], " ",
907	TemplateBox[{"2",FractionBox[
908	RowBox[{"2", " ", "\[ImaginaryI]", " ", "\[Tau]"}],
909	RowBox[{
910	RowBox[{"\[ImaginaryI]", " ", "\[Tau]"}], "+",
911	SqrtBox[
912	RowBox[{
913	RowBox[{"-",
914	RowBox[{"(",
915	RowBox[{"\[Tau]", "-", "1"}], ")"}]}], " ",
916	"\[Tau]"}]]}]]},
917	"PolyLog"]}], "+",
918	RowBox[{"2", " ", "\[Tau]"}]}], ")"}], " ",
919	RowBox[{"(",
920	RowBox[{
921	RowBox[{
922	SuperscriptBox["mh", "2"], " ",
923	FormBox[
924	SuperscriptBox[
925	OverscriptBox["g", "_"],
926	RowBox[{
927	FormBox[
928	FormBox[
929	FormBox["mu",
930	TraditionalForm],
931	TraditionalForm],
932	TraditionalForm],
933	FormBox[
934	FormBox[
935	FormBox["nu",
936	TraditionalForm],
937	TraditionalForm],
938	TraditionalForm]}]],
939	TraditionalForm]}], "-",
940	RowBox[{"2", " ",
941	FormBox[
942	SuperscriptBox[
943	FormBox[
944	OverscriptBox[
945	FormBox["q2",
946	TraditionalForm], "_"],
947	TraditionalForm],
948	FormBox[
949	FormBox[
950	FormBox["mu",
951	TraditionalForm],
952	TraditionalForm],
953	TraditionalForm]],
954	TraditionalForm], " ",
955	FormBox[
956	SuperscriptBox[
957	FormBox[
958	OverscriptBox[
959	FormBox["q1",
960	TraditionalForm], "_"],
961	TraditionalForm],
962	FormBox[
963	FormBox[
964	FormBox["nu",
965	TraditionalForm],
966	TraditionalForm],
967	TraditionalForm]],
968	TraditionalForm]}]}], ")"}]}],
969	RowBox[{"8", " ", "\[Pi]", " ",
970	SuperscriptBox["\[Tau]", "2"], " ", "v"}]]}], TraditionalForm]], "Output",\
971
972	CellChangeTimes->{{3.692511405202662^9, 3.69251143518386^9}, {
973	3.6925115074304533`^9, 3.69251151865038^9}, {3.692511578190337*^9,
974	3.692511597121833^9}, {3.6925116546982393`^9, 3.6925116668026123`*^9}, {
975	3.6925117277323923`^9, 3.692511780284226^9}, {3.6925118370505447`*^9,
976	3.69251185243128^9}, 3.6925119259368773`^9, 3.692512199011361*^9,
977	3.6925131301000423`^9, 3.6925136429395638`^9, 3.6925137086067123`*^9,
978	3.692517105499065^9, 3.692517156624544^9, 3.692517191590906*^9, {
979	3.692517246612756^9, 3.692517257431817^9}, 3.692517978839405*^9,
980	3.69251813100445*^9}]
981	}, Open ]],
982
983	Cell[CellGroupData[{
984
985	Cell[BoxData[
986	RowBox[{"finalampEFT", "=",
987	RowBox[{"Limit", "[",
988	RowBox[{"finalamp", ",", " ",
989	RowBox[{"\[Tau]", "->", " ", "0"}]}], "]"}]}]], "Input",
990	CellChangeTimes->{{3.6925172739166203`^9, 3.692517329921995^9}}],
991
992	Cell[BoxData[
993	FormBox[
994	RowBox[{"-",
995	FractionBox[
996	RowBox[{"as", " ", "deltaAB", " ",
997	RowBox[{"(",
998	RowBox[{
999	RowBox[{
1000	SuperscriptBox["mh", "2"], " ",
1001	FormBox[
1002	SuperscriptBox[
1003	OverscriptBox["g", "_"],
1004	RowBox[{
1005	FormBox[
1006	FormBox[
1007	FormBox["mu",
1008	TraditionalForm],
1009	TraditionalForm],
1010	TraditionalForm],
1011	FormBox[
1012	FormBox[
1013	FormBox["nu",
1014	TraditionalForm],
1015	TraditionalForm],
1016	TraditionalForm]}]],
1017	TraditionalForm]}], "-",
1018	RowBox[{"2", " ",
1019	FormBox[
1020	SuperscriptBox[
1021	FormBox[
1022	OverscriptBox[
1023	FormBox["q2",
1024	TraditionalForm], "_"],
1025	TraditionalForm],
1026	FormBox[
1027	FormBox[
1028	FormBox["mu",
1029	TraditionalForm],
1030	TraditionalForm],
1031	TraditionalForm]],
1032	TraditionalForm], " ",
1033	FormBox[
1034	SuperscriptBox[
1035	FormBox[
1036	OverscriptBox[
1037	FormBox["q1",
1038	TraditionalForm], "_"],
1039	TraditionalForm],
1040	FormBox[
1041	FormBox[
1042	FormBox["nu",
1043	TraditionalForm],
1044	TraditionalForm],
1045	TraditionalForm]],
1046	TraditionalForm]}]}], ")"}]}],
1047	RowBox[{"6", " ", "\[Pi]", " ", "v"}]]}], TraditionalForm]], "Output",
1048	CellChangeTimes->{{3.6925173203674393`^9, 3.69251733165294^9},
1049	3.692517993143227^9, 3.6925181320293016`^9}]
1050	}, Open ]],
1051
1052	Cell[BoxData[""], "Input"],
1053
1054	Cell[CellGroupData[{
1055
1056	Cell[BoxData[
1057	RowBox[{"Integrate", "[",
1058	RowBox[{
1059	RowBox[{
1060	RowBox[{"(",
1061	RowBox[{"1", "-",
1062	RowBox[{"4", " ", "x", " ", "y"}]}], ")"}], "/",
1063	RowBox[{"(",
1064	RowBox[{"1", "-",
1065	RowBox[{"\[Tau]", " ", "x", " ", "y"}]}], ")"}]}], ",",
1066	RowBox[{"{",
1067	RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",",
1068	RowBox[{"{",
1069	RowBox[{"y", ",", "0", ",",
1070	RowBox[{"1", "-", "x"}]}], "}"}], ",", " ",
1071	RowBox[{"Assumptions", " ", "\[Rule]", " ",
1072	RowBox[{"{",
1073	RowBox[{"\[Tau]", "==", "0"}], "}"}]}]}], "]"}]], "Input",
1074	CellChangeTimes->{{3.542627525077577^9, 3.542627611656934^9}}],
1075
1076	Cell[BoxData[
1077	FractionBox["1", "3"]], "Output",
1078	CellChangeTimes->{{3.542627586138248^9, 3.542627615440257^9}}]
1079	}, Open ]]
1080	}, Open ]]
1081	}, Open ]]
1082	},
1083	WindowSize->{710, 706},
1084	WindowMargins->{{148, Automatic}, {Automatic, 0}},
1085	PrivateNotebookOptions->{"VersionedStylesheet"->{"Default.nb"[8.] -> False}},
1086	FrontEndVersion->"10.0 for Mac OS X x86 (32-bit, 64-bit Kernel) (June 27, \
1087	2014)",
1088	StyleDefinitions->"Default.nb"
1089	]
1090	(* End of Notebook Content *)
1091
1092	(* Internal cache information *)
1093	(*CellTagsOutline
1094	CellTagsIndex->{}
1095	*)
1096	(*CellTagsIndex
1097	CellTagsIndex->{}
1098	*)
1099	(*NotebookFileOutline
1100	Notebook[{
1101	Cell[CellGroupData[{
1102	Cell[579, 22, 134, 1, 148, "Title"],
1103	Cell[CellGroupData[{
1104	Cell[738, 27, 36, 0, 44, "Subsection"],
1105	Cell[CellGroupData[{
1106	Cell[799, 31, 95, 2, 28, "Input"],
1107	Cell[897, 35, 616, 13, 24, "Message"],
1108	Cell[1516, 50, 199, 3, 30, "Output"]
1109	}, Open ]],
1110	Cell[CellGroupData[{
1111	Cell[1752, 58, 109, 2, 28, "Input"],
1112	Cell[CellGroupData[{
1113	Cell[1886, 64, 2461, 65, 44, "Print"],
1114	Cell[4350, 131, 1202, 31, 25, "Print"],
1115	Cell[5555, 164, 331, 6, 26, "Print"],
1116	Cell[5889, 172, 345, 6, 26, "Print"]
1117	}, Open ]]
1118	}, Open ]]
1119	}, Open ]],
1120	Cell[CellGroupData[{
1121	Cell[6295, 185, 35, 0, 44, "Subsection"],
1122	Cell[CellGroupData[{
1123	Cell[6355, 189, 41, 0, 35, "Subsubsection"],
1124	Cell[6399, 191, 1192, 36, 148, "Input"]
1125	}, Open ]]
1126	}, Open ]],
1127	Cell[CellGroupData[{
1128	Cell[7640, 233, 44, 0, 44, "Subsection"],
1129	Cell[CellGroupData[{
1130	Cell[7709, 237, 2570, 69, 182, "Input"],
1131	Cell[10282, 308, 3319, 121, 52, "Output"]
1132	}, Open ]]
1133	}, Open ]],
1134	Cell[CellGroupData[{
1135	Cell[13650, 435, 67, 0, 44, "Subsection"],
1136	Cell[CellGroupData[{
1137	Cell[13742, 439, 1534, 45, 131, "Input"],
1138	Cell[15279, 486, 2896, 96, 76, "Output"]
1139	}, Open ]]
1140	}, Open ]],
1141	Cell[CellGroupData[{
1142	Cell[18224, 588, 429, 7, 69, "Subsection"],
1143	Cell[18656, 597, 748, 12, 59, "Input"]
1144	}, Open ]],
1145	Cell[CellGroupData[{
1146	Cell[19441, 614, 335, 6, 69, "Subsection"],
1147	Cell[19779, 622, 697, 23, 46, "Input"]
1148	}, Open ]],
1149	Cell[CellGroupData[{
1150	Cell[20513, 650, 368, 7, 94, "Subsection"],
1151	Cell[20884, 659, 677, 19, 28, "Input"],
1152	Cell[21564, 680, 1720, 37, 63, "Input"],
1153	Cell[23287, 719, 91, 1, 28, "Input"]
1154	}, Open ]],
1155	Cell[CellGroupData[{
1156	Cell[23415, 725, 160, 4, 69, "Subsection"],
1157	Cell[CellGroupData[{
1158	Cell[23600, 733, 952, 27, 97, "Input"],
1159	Cell[24555, 762, 3019, 96, 76, "Output"]
1160	}, Open ]],
1161	Cell[CellGroupData[{
1162	Cell[27611, 863, 653, 17, 28, "Input"],
1163	Cell[28267, 882, 3231, 97, 71, "Output"]
1164	}, Open ]],
1165	Cell[CellGroupData[{
1166	Cell[31535, 984, 231, 5, 28, "Input"],
1167	Cell[31769, 991, 1608, 57, 53, "Output"]
1168	}, Open ]],
1169	Cell[33392, 1051, 26, 0, 28, "Input"],
1170	Cell[CellGroupData[{
1171	Cell[33443, 1055, 632, 18, 46, "Input"],
1172	Cell[34078, 1075, 114, 2, 48, "Output"]
1173	}, Open ]]
1174	}, Open ]]
1175	}, Open ]]
1176	}
1177	]
1178	*)
1179

Download in other formats:

Original Format