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:
|
---|
10 | NotebookFileLineBreakTest
|
---|
11 | NotebookFileLineBreakTest
|
---|
12 | NotebookDataPosition[ 145, 7]
|
---|
13 | NotebookDataLength[ 29348, 888]
|
---|
14 | NotebookOptionsPosition[ 23926, 711]
|
---|
15 | NotebookOutlinePosition[ 24399, 730]
|
---|
16 | CellTagsIndexPosition[ 24356, 727]
|
---|
17 | WindowFrame->Normal*)
|
---|
18 |
|
---|
19 | (* Beginning of Notebook Content *)
|
---|
20 | Notebook[{
|
---|
21 | Cell[BoxData[
|
---|
22 | RowBox[{"Quit", "[", "]"}]], "Input",
|
---|
23 | CellChangeTimes->{{3.4921467751527157`*^9, 3.492146776183146*^9}}],
|
---|
24 |
|
---|
25 | Cell[BoxData[
|
---|
26 | RowBox[{"$FeynRulesPath", "=",
|
---|
27 | RowBox[{
|
---|
28 | "SetDirectory", "[", "\"\<< address of the package >\>\"", "]"}]}]], "Input",\
|
---|
29 |
|
---|
30 | CellChangeTimes->{{3.41265862251538*^9, 3.412658649947229*^9}, {
|
---|
31 | 3.423415585782702*^9, 3.423415597189939*^9}, {3.4234163173467493`*^9,
|
---|
32 | 3.4234163227881193`*^9}}],
|
---|
33 |
|
---|
34 | Cell[BoxData[
|
---|
35 | RowBox[{"<<", "FeynRules`"}]], "Input",
|
---|
36 | CellChangeTimes->{{3.547535564344927*^9, 3.547535564971527*^9}}],
|
---|
37 |
|
---|
38 | Cell[BoxData[
|
---|
39 | RowBox[{
|
---|
40 | RowBox[{"SetDirectory", "[",
|
---|
41 | RowBox[{"$FeynRulesPath", "<>", "\"\</Models/SM\>\""}], "]"}],
|
---|
42 | ";"}]], "Input",
|
---|
43 | CellChangeTimes->{{3.419073170860696*^9, 3.419073182827229*^9}}],
|
---|
44 |
|
---|
45 | Cell[CellGroupData[{
|
---|
46 |
|
---|
47 | Cell["The Standard Model", "Title"],
|
---|
48 |
|
---|
49 | Cell["We first load in the Standard Model model-file", "Text"],
|
---|
50 |
|
---|
51 | Cell[BoxData[
|
---|
52 | RowBox[{"LoadModel", "[", "\"\<SM.fr\>\"", "]"}]], "Input",
|
---|
53 | CellChangeTimes->{{3.4022069973481913`*^9, 3.402207011768662*^9},
|
---|
54 | 3.4022081212072697`*^9, {3.402208250379383*^9, 3.402208254043104*^9},
|
---|
55 | 3.4027466057480917`*^9, {3.403240270135737*^9, 3.403240277228945*^9},
|
---|
56 | 3.403266503388291*^9, {3.403267649630335*^9, 3.40326765417397*^9}, {
|
---|
57 | 3.403269919787421*^9, 3.403269921965273*^9}, {3.403347551273425*^9,
|
---|
58 | 3.403347555049163*^9}, 3.4044490490588417`*^9, {3.411744339876704*^9,
|
---|
59 | 3.411744340012457*^9}, {3.4121886924550533`*^9, 3.412188699157571*^9},
|
---|
60 | 3.412188808811866*^9, 3.4121888580521603`*^9, {3.412450464077868*^9,
|
---|
61 | 3.412450464378695*^9}, {3.413715097460478*^9, 3.41371509757642*^9}, {
|
---|
62 | 3.41440825334604*^9, 3.414408254159686*^9}, {3.41862573831756*^9,
|
---|
63 | 3.4186257392223186`*^9}, {3.4190731862389174`*^9, 3.419073187003003*^9}, {
|
---|
64 | 3.419073336802393*^9, 3.4190733374513063`*^9}, {3.4190828041801767`*^9,
|
---|
65 | 3.4190828048079023`*^9}, 3.542453089813714*^9, 3.547534567644828*^9}],
|
---|
66 |
|
---|
67 | Cell[BoxData[
|
---|
68 | RowBox[{"LoadRestriction", "[",
|
---|
69 | RowBox[{"\"\<Massless.rst\>\"", ",", "\"\<DiagonalCKM.rst\>\""}],
|
---|
70 | "]"}]], "Input",
|
---|
71 | CellChangeTimes->{{3.547535575308606*^9, 3.547535589236651*^9}}],
|
---|
72 |
|
---|
73 | Cell[CellGroupData[{
|
---|
74 |
|
---|
75 | Cell["The SM lagrangian", "Section",
|
---|
76 | CellChangeTimes->{{3.411910065227421*^9, 3.411910071535137*^9}}],
|
---|
77 |
|
---|
78 | Cell[CellGroupData[{
|
---|
79 |
|
---|
80 | Cell["Unitary Gauge", "Subsection",
|
---|
81 | CellChangeTimes->{{3.411910080775518*^9, 3.41191008414785*^9}}],
|
---|
82 |
|
---|
83 | Cell["\<\
|
---|
84 | The full lagrangian in unitary gauge can be accessed immediatly via\
|
---|
85 | \>", "Text",
|
---|
86 | CellChangeTimes->{{3.411910016771447*^9, 3.411910062087528*^9}, {
|
---|
87 | 3.411910094087652*^9, 3.411910096590087*^9}, {3.411910215381351*^9,
|
---|
88 | 3.4119102162371798`*^9}}],
|
---|
89 |
|
---|
90 | Cell[BoxData["LSM"], "Input",
|
---|
91 | CellChangeTimes->{{3.411910106011015*^9, 3.411910106351081*^9}}],
|
---|
92 |
|
---|
93 | Cell[CellGroupData[{
|
---|
94 |
|
---|
95 | Cell["Gauge sector", "Subsubsection",
|
---|
96 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}}],
|
---|
97 |
|
---|
98 | Cell["\<\
|
---|
99 | The part of the lagrangian representing the gauge sector can be accessed via\
|
---|
100 | \>", "Text",
|
---|
101 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
102 | 3.411910235813308*^9, 3.4119102509651337`*^9}}],
|
---|
103 |
|
---|
104 | Cell[BoxData["LGauge"], "Input",
|
---|
105 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}}]
|
---|
106 | }, Open ]],
|
---|
107 |
|
---|
108 | Cell[CellGroupData[{
|
---|
109 |
|
---|
110 | Cell["Scalar sector", "Subsubsection",
|
---|
111 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
112 | 3.411910274288354*^9, 3.41191027703699*^9}}],
|
---|
113 |
|
---|
114 | Cell["\<\
|
---|
115 | The part of the lagrangian representing the scalar sector can be accessed via\
|
---|
116 | \
|
---|
117 | \>", "Text",
|
---|
118 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
119 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.41191028690167*^9,
|
---|
120 | 3.411910287709094*^9}}],
|
---|
121 |
|
---|
122 | Cell[BoxData["LHiggs"], "Input",
|
---|
123 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
124 | 3.411910290186841*^9, 3.411910292005392*^9}}]
|
---|
125 | }, Open ]],
|
---|
126 |
|
---|
127 | Cell[CellGroupData[{
|
---|
128 |
|
---|
129 | Cell["Fermion sector", "Subsubsection",
|
---|
130 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
131 | 3.4119103528868923`*^9, 3.411910357404933*^9}}],
|
---|
132 |
|
---|
133 | Cell["\<\
|
---|
134 | The part of the lagrangian representing the fermion sector can be accessed via\
|
---|
135 | \>", "Text",
|
---|
136 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
137 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.4119103873434134`*^9,
|
---|
138 | 3.411910388077118*^9}}],
|
---|
139 |
|
---|
140 | Cell[BoxData["LFermions"], "Input",
|
---|
141 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
142 | 3.411910379677638*^9, 3.4119103807255*^9}}]
|
---|
143 | }, Open ]],
|
---|
144 |
|
---|
145 | Cell[CellGroupData[{
|
---|
146 |
|
---|
147 | Cell["Yukawa sector", "Subsubsection",
|
---|
148 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
149 | 3.411910393742139*^9, 3.411910394852953*^9}}],
|
---|
150 |
|
---|
151 | Cell["\<\
|
---|
152 | The part of the lagrangian representing the Yukawa sector can be accessed via\
|
---|
153 | \
|
---|
154 | \>", "Text",
|
---|
155 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
156 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.411910399061659*^9,
|
---|
157 | 3.411910400421185*^9}}],
|
---|
158 |
|
---|
159 | Cell[BoxData["LYukawa"], "Input",
|
---|
160 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
161 | 3.4119104032372026`*^9, 3.411910404165523*^9}}]
|
---|
162 | }, Open ]]
|
---|
163 | }, Open ]],
|
---|
164 |
|
---|
165 | Cell[CellGroupData[{
|
---|
166 |
|
---|
167 | Cell["Feynman Gauge", "Subsection",
|
---|
168 | CellChangeTimes->{{3.411910080775518*^9, 3.41191008414785*^9}, {
|
---|
169 | 3.411910431304595*^9, 3.41191043361451*^9}}],
|
---|
170 |
|
---|
171 | Cell["\<\
|
---|
172 | By default, SM lagrangian is loaded in unitary gauge. However, Feynman gauge \
|
---|
173 | can be obtained by putting\
|
---|
174 | \>", "Text",
|
---|
175 | CellChangeTimes->{{3.411910440565042*^9, 3.411910480762147*^9}}],
|
---|
176 |
|
---|
177 | Cell[BoxData[
|
---|
178 | RowBox[{
|
---|
179 | RowBox[{"FeynmanGauge", "=", "True"}], ";"}]], "Input",
|
---|
180 | CellChangeTimes->{{3.411910487433539*^9, 3.4119104927114267`*^9}}],
|
---|
181 |
|
---|
182 | Cell["\<\
|
---|
183 | The full lagrangian in Feynman gauge can be accessed immediatly via\
|
---|
184 | \>", "Text",
|
---|
185 | CellChangeTimes->{{3.411910016771447*^9, 3.411910062087528*^9}, {
|
---|
186 | 3.411910094087652*^9, 3.411910096590087*^9}, {3.411910215381351*^9,
|
---|
187 | 3.4119102162371798`*^9}, {3.411910436148773*^9, 3.411910437013105*^9}}],
|
---|
188 |
|
---|
189 | Cell[BoxData["LSM"], "Input",
|
---|
190 | CellChangeTimes->{{3.411910106011015*^9, 3.411910106351081*^9}}],
|
---|
191 |
|
---|
192 | Cell[CellGroupData[{
|
---|
193 |
|
---|
194 | Cell["Gauge sector", "Subsubsection",
|
---|
195 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}}],
|
---|
196 |
|
---|
197 | Cell["\<\
|
---|
198 | The part of the lagrangian representing the gauge sector can be accessed via\
|
---|
199 | \>", "Text",
|
---|
200 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
201 | 3.411910235813308*^9, 3.4119102509651337`*^9}}],
|
---|
202 |
|
---|
203 | Cell[BoxData["LGauge"], "Input",
|
---|
204 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}}]
|
---|
205 | }, Open ]],
|
---|
206 |
|
---|
207 | Cell[CellGroupData[{
|
---|
208 |
|
---|
209 | Cell["Scalar sector", "Subsubsection",
|
---|
210 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
211 | 3.411910274288354*^9, 3.41191027703699*^9}}],
|
---|
212 |
|
---|
213 | Cell["\<\
|
---|
214 | The part of the lagrangian representing the scalar sector can be accessed via\
|
---|
215 | \
|
---|
216 | \>", "Text",
|
---|
217 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
218 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.41191028690167*^9,
|
---|
219 | 3.411910287709094*^9}}],
|
---|
220 |
|
---|
221 | Cell[BoxData["LHiggs"], "Input",
|
---|
222 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
223 | 3.411910290186841*^9, 3.411910292005392*^9}}]
|
---|
224 | }, Open ]],
|
---|
225 |
|
---|
226 | Cell[CellGroupData[{
|
---|
227 |
|
---|
228 | Cell["Fermion sector", "Subsubsection",
|
---|
229 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
230 | 3.4119103528868923`*^9, 3.411910357404933*^9}}],
|
---|
231 |
|
---|
232 | Cell["\<\
|
---|
233 | The part of the lagrangian representing the fermion sector can be accessed via\
|
---|
234 | \>", "Text",
|
---|
235 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
236 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.4119103873434134`*^9,
|
---|
237 | 3.411910388077118*^9}}],
|
---|
238 |
|
---|
239 | Cell[BoxData["LFermions"], "Input",
|
---|
240 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
241 | 3.411910379677638*^9, 3.4119103807255*^9}}]
|
---|
242 | }, Open ]],
|
---|
243 |
|
---|
244 | Cell[CellGroupData[{
|
---|
245 |
|
---|
246 | Cell["Yukawa sector", "Subsubsection",
|
---|
247 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
248 | 3.411910393742139*^9, 3.411910394852953*^9}}],
|
---|
249 |
|
---|
250 | Cell["\<\
|
---|
251 | The part of the lagrangian representing the Yukawa sector can be accessed via\
|
---|
252 | \
|
---|
253 | \>", "Text",
|
---|
254 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
255 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.411910399061659*^9,
|
---|
256 | 3.411910400421185*^9}}],
|
---|
257 |
|
---|
258 | Cell[BoxData["LYukawa"], "Input",
|
---|
259 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
260 | 3.4119104032372026`*^9, 3.411910404165523*^9}}]
|
---|
261 | }, Open ]],
|
---|
262 |
|
---|
263 | Cell[CellGroupData[{
|
---|
264 |
|
---|
265 | Cell["Ghost sector", "Subsubsection",
|
---|
266 | CellChangeTimes->{{3.4119102216473637`*^9, 3.411910224608881*^9}, {
|
---|
267 | 3.411910393742139*^9, 3.411910394852953*^9}, {3.4119106057673063`*^9,
|
---|
268 | 3.411910606397141*^9}}],
|
---|
269 |
|
---|
270 | Cell["\<\
|
---|
271 | The part of the lagrangian representing the ghost sector can be accessed via\
|
---|
272 | \>", "Text",
|
---|
273 | CellChangeTimes->{{3.4119101255458603`*^9, 3.411910192225008*^9}, {
|
---|
274 | 3.411910235813308*^9, 3.4119102509651337`*^9}, {3.411910399061659*^9,
|
---|
275 | 3.411910400421185*^9}, {3.4119106110136833`*^9, 3.411910611661195*^9}}],
|
---|
276 |
|
---|
277 | Cell[BoxData["LGhost"], "Input",
|
---|
278 | CellChangeTimes->{{3.411910181169772*^9, 3.411910184667088*^9}, {
|
---|
279 | 3.4119104032372026`*^9, 3.411910404165523*^9}, {3.411910615100849*^9,
|
---|
280 | 3.411910615781582*^9}}]
|
---|
281 | }, Open ]]
|
---|
282 | }, Open ]]
|
---|
283 | }, Closed]],
|
---|
284 |
|
---|
285 | Cell[CellGroupData[{
|
---|
286 |
|
---|
287 | Cell["Checking the Lagrangian", "Section",
|
---|
288 | CellChangeTimes->{{3.4234156496121893`*^9, 3.423415657027569*^9}}],
|
---|
289 |
|
---|
290 | Cell[BoxData[
|
---|
291 | RowBox[{
|
---|
292 | RowBox[{"FeynmanGauge", "=", "False"}], ";"}]], "Input",
|
---|
293 | CellChangeTimes->{{3.4234159280429783`*^9, 3.423415934798614*^9}, {
|
---|
294 | 3.588417616520516*^9, 3.588417617062751*^9}}],
|
---|
295 |
|
---|
296 | Cell[CellGroupData[{
|
---|
297 |
|
---|
298 | Cell["Checking hermiticity", "Subsection",
|
---|
299 | CellChangeTimes->{{3.4234156831783743`*^9, 3.423415689540821*^9}}],
|
---|
300 |
|
---|
301 | Cell["The hermiticity of the Lagrangian can be checked via", "Text",
|
---|
302 | CellChangeTimes->{{3.423415694323595*^9, 3.423415707867804*^9}}],
|
---|
303 |
|
---|
304 | Cell[BoxData[
|
---|
305 | RowBox[{"CheckHermiticity", "[", "LSM", "]"}]], "Input",
|
---|
306 | CellChangeTimes->{{3.414763473002973*^9, 3.4147634845507174`*^9}, {
|
---|
307 | 3.5884182415538187`*^9, 3.5884182416874647`*^9}}],
|
---|
308 |
|
---|
309 | Cell["\<\
|
---|
310 | The same command can be applied to the flavor - expanded Lagrangian\
|
---|
311 | \>", "Text",
|
---|
312 | CellChangeTimes->{{3.423415721582508*^9, 3.423415739787958*^9}}],
|
---|
313 |
|
---|
314 | Cell[BoxData[
|
---|
315 | RowBox[{"CheckHermiticity", "[",
|
---|
316 | RowBox[{"LSM", ",",
|
---|
317 | RowBox[{"FlavorExpand", "\[Rule]", "True"}]}], "]"}]], "Input",
|
---|
318 | CellChangeTimes->{{3.414763604111637*^9, 3.4147636044973803`*^9}}]
|
---|
319 | }, Open ]],
|
---|
320 |
|
---|
321 | Cell[CellGroupData[{
|
---|
322 |
|
---|
323 | Cell["Checking the mass spectrum", "Subsection",
|
---|
324 | CellChangeTimes->{{3.423415831209465*^9, 3.423415835278742*^9}}],
|
---|
325 |
|
---|
326 | Cell["\<\
|
---|
327 | FeynRules can check whether all the values of the masses given in the model \
|
---|
328 | file ar ein agreement with the masses given in the Lagrangian:\
|
---|
329 | \>", "Text",
|
---|
330 | CellChangeTimes->{{3.423415751305388*^9, 3.423415792594919*^9}}],
|
---|
331 |
|
---|
332 | Cell[BoxData[
|
---|
333 | RowBox[{"CheckMassSpectrum", "[", "LSM", "]"}]], "Input",
|
---|
334 | CellChangeTimes->{{3.414736325829801*^9, 3.414736326065997*^9},
|
---|
335 | 3.4147528281460342`*^9}]
|
---|
336 | }, Open ]],
|
---|
337 |
|
---|
338 | Cell[CellGroupData[{
|
---|
339 |
|
---|
340 | Cell["Checking the kinetic terms", "Subsection",
|
---|
341 | CellChangeTimes->{{3.423415843532096*^9, 3.42341584850035*^9}}],
|
---|
342 |
|
---|
343 | Cell["\<\
|
---|
344 | In the same way, FeynRules can check whether all kinetic terms are correctly \
|
---|
345 | normalized :\
|
---|
346 | \>", "Text",
|
---|
347 | CellChangeTimes->{{3.423415798800013*^9, 3.423415817964087*^9}}],
|
---|
348 |
|
---|
349 | Cell[BoxData[
|
---|
350 | RowBox[{"CheckKineticTermNormalisation", "[",
|
---|
351 | RowBox[{"LSM", ",",
|
---|
352 | RowBox[{"FlavorExpand", "\[Rule]", "SU2W"}]}], "]"}]], "Input",
|
---|
353 | CellChangeTimes->{{3.4147636651636972`*^9, 3.414763667250185*^9}}],
|
---|
354 |
|
---|
355 | Cell["\<\
|
---|
356 | The same command cen be used at the level of the flavor - expanded Lagrangian \
|
---|
357 | :\
|
---|
358 | \>", "Text",
|
---|
359 | CellChangeTimes->{{3.423415868906054*^9, 3.4234158864202538`*^9}}],
|
---|
360 |
|
---|
361 | Cell[BoxData[
|
---|
362 | RowBox[{"CheckKineticTermNormalisation", "[",
|
---|
363 | RowBox[{"LSM", ",",
|
---|
364 | RowBox[{"FlavorExpand", "\[Rule]", "True"}]}], "]"}]], "Input"]
|
---|
365 | }, Open ]]
|
---|
366 | }, Closed]],
|
---|
367 |
|
---|
368 | Cell[CellGroupData[{
|
---|
369 |
|
---|
370 | Cell["Calculation of the Feynman rules", "Section",
|
---|
371 | CellChangeTimes->{{3.411910637332127*^9, 3.41191064360071*^9}}],
|
---|
372 |
|
---|
373 | Cell["\<\
|
---|
374 | We will calculate now explicitly the Feynman rules for the SM in Feynman \
|
---|
375 | gauge.\
|
---|
376 | \>", "Text",
|
---|
377 | CellChangeTimes->{{3.41191064804084*^9, 3.411910672936666*^9}}],
|
---|
378 |
|
---|
379 | Cell[BoxData[
|
---|
380 | RowBox[{
|
---|
381 | RowBox[{"FeynmanGauge", "=", "True"}], ";"}]], "Input",
|
---|
382 | CellChangeTimes->{{3.411910674121689*^9, 3.4119106799564953`*^9}}],
|
---|
383 |
|
---|
384 | Cell[CellGroupData[{
|
---|
385 |
|
---|
386 | Cell["Gauge sector", "Subsection",
|
---|
387 | CellChangeTimes->{{3.411910690443768*^9, 3.411910692233274*^9}}],
|
---|
388 |
|
---|
389 | Cell[BoxData[
|
---|
390 | RowBox[{
|
---|
391 | RowBox[{"vertsGauge", "=",
|
---|
392 | RowBox[{"FeynmanRules", "[",
|
---|
393 | RowBox[{"LGauge", ",",
|
---|
394 | RowBox[{"FlavorExpand", "\[Rule]", "SU2W"}]}], "]"}]}], ";"}]], "Input",
|
---|
395 | CellChangeTimes->{
|
---|
396 | 3.40274690437012*^9, {3.402746954727231*^9, 3.4027469691642714`*^9}, {
|
---|
397 | 3.4032592998045692`*^9, 3.403259304564069*^9}, 3.403267976055098*^9, {
|
---|
398 | 3.411910705212987*^9, 3.411910705553741*^9}, {3.423415993272615*^9,
|
---|
399 | 3.42341600147605*^9}}]
|
---|
400 | }, Open ]],
|
---|
401 |
|
---|
402 | Cell[CellGroupData[{
|
---|
403 |
|
---|
404 | Cell["Higgs Sector", "Subsection",
|
---|
405 | CellChangeTimes->{3.404470070069872*^9}],
|
---|
406 |
|
---|
407 | Cell[BoxData[
|
---|
408 | RowBox[{
|
---|
409 | RowBox[{"vertsHiggs", "=",
|
---|
410 | RowBox[{"FeynmanRules", "[", "LHiggs", "]"}]}], ";"}]], "Input",
|
---|
411 | CellChangeTimes->{{3.411910728609757*^9, 3.41191072908109*^9}, {
|
---|
412 | 3.423416009086747*^9, 3.423416012982971*^9}, 3.423416065626593*^9}]
|
---|
413 | }, Open ]],
|
---|
414 |
|
---|
415 | Cell[CellGroupData[{
|
---|
416 |
|
---|
417 | Cell["Matter sector", "Subsection"],
|
---|
418 |
|
---|
419 | Cell[BoxData[
|
---|
420 | RowBox[{
|
---|
421 | RowBox[{"vertsFermions", "=",
|
---|
422 | RowBox[{"FeynmanRules", "[", "LFermions", "]"}]}], ";"}]], "Input",
|
---|
423 | CellChangeTimes->{{3.402205118991502*^9, 3.4022051228508387`*^9},
|
---|
424 | 3.402747846432675*^9, {3.4032613449872217`*^9, 3.403261349245253*^9}, {
|
---|
425 | 3.403266977133403*^9, 3.4032669793125563`*^9}, {3.411910788644576*^9,
|
---|
426 | 3.411910789233307*^9}, {3.423416034294303*^9, 3.423416042739814*^9}}]
|
---|
427 | }, Open ]],
|
---|
428 |
|
---|
429 | Cell[CellGroupData[{
|
---|
430 |
|
---|
431 | Cell["Yukawa sector", "Subsection"],
|
---|
432 |
|
---|
433 | Cell[BoxData[
|
---|
434 | RowBox[{
|
---|
435 | RowBox[{"vertsYukawa", "=",
|
---|
436 | RowBox[{"FeynmanRules", "[",
|
---|
437 | RowBox[{"LYukawa", ",",
|
---|
438 | RowBox[{"FlavorExpand", "\[Rule]", "True"}]}], "]"}]}], ";"}]], "Input",
|
---|
439 | CellChangeTimes->{{3.403266987858165*^9, 3.4032670026080303`*^9}, {
|
---|
440 | 3.411910826105542*^9, 3.411910826777452*^9}, {3.423416089772278*^9,
|
---|
441 | 3.423416095643961*^9}}]
|
---|
442 | }, Open ]],
|
---|
443 |
|
---|
444 | Cell[CellGroupData[{
|
---|
445 |
|
---|
446 | Cell["LGhost sector", "Subsection",
|
---|
447 | CellChangeTimes->{{3.411910849714159*^9, 3.411910851088325*^9}}],
|
---|
448 |
|
---|
449 | Cell[BoxData[
|
---|
450 | RowBox[{
|
---|
451 | RowBox[{"vertsGhosts", "=",
|
---|
452 | RowBox[{"FeynmanRules", "[",
|
---|
453 | RowBox[{"LGhost", ",",
|
---|
454 | RowBox[{"FlavorExpand", "\[Rule]", "SU2W"}]}], "]"}]}], ";"}]], "Input",
|
---|
455 | CellChangeTimes->{{3.403266987858165*^9, 3.4032670026080303`*^9}, {
|
---|
456 | 3.411910826105542*^9, 3.411910826777452*^9}, {3.411910857580064*^9,
|
---|
457 | 3.411910870001601*^9}, 3.415256462464088*^9, {3.423416107236608*^9,
|
---|
458 | 3.423416112835993*^9}}]
|
---|
459 | }, Open ]]
|
---|
460 | }, Closed]],
|
---|
461 |
|
---|
462 | Cell[CellGroupData[{
|
---|
463 |
|
---|
464 | Cell["Outputs and interfaces", "Section",
|
---|
465 | CellChangeTimes->{
|
---|
466 | 3.411910944409371*^9, {3.412185514054689*^9, 3.412185517014236*^9}}],
|
---|
467 |
|
---|
468 | Cell[CellGroupData[{
|
---|
469 |
|
---|
470 | Cell["FeynArts output", "Subsection",
|
---|
471 | CellChangeTimes->{{3.411911000132907*^9, 3.411911005135379*^9}}],
|
---|
472 |
|
---|
473 | Cell["The FeynArts output for the SM can be obtained via", "Text",
|
---|
474 | CellChangeTimes->{{3.411910955110715*^9, 3.4119109690877657`*^9}, {
|
---|
475 | 3.411911062212926*^9, 3.4119110634765463`*^9}}],
|
---|
476 |
|
---|
477 | Cell[BoxData[{
|
---|
478 | RowBox[{
|
---|
479 | RowBox[{
|
---|
480 | RowBox[{"FeynmanGauge", " ", "=", " ", "False"}], ";"}],
|
---|
481 | "\[IndentingNewLine]"}], "\[IndentingNewLine]",
|
---|
482 | RowBox[{"WriteFeynArtsOutput", "[",
|
---|
483 | RowBox[{"LGauge", ",", "LHiggs", ",", "LFermions", ",", "LYukawa", ",",
|
---|
484 | RowBox[{"FlavorExpand", "\[Rule]", "SU2W"}]}], "]"}]}], "Input",
|
---|
485 | CellChangeTimes->{{3.411911018354619*^9, 3.4119110196967573`*^9}, {
|
---|
486 | 3.412185470680571*^9, 3.412185480912915*^9}, {3.41245048911446*^9,
|
---|
487 | 3.4124504892674522`*^9}, 3.414315634453483*^9, {3.423416180751266*^9,
|
---|
488 | 3.423416182892613*^9}}],
|
---|
489 |
|
---|
490 | Cell["FeynArts also supports the Feynman gauge", "Text",
|
---|
491 | CellChangeTimes->{{3.4121854851672792`*^9, 3.412185494183435*^9}}],
|
---|
492 |
|
---|
493 | Cell[BoxData[{
|
---|
494 | RowBox[{
|
---|
495 | RowBox[{
|
---|
496 | RowBox[{"FeynmanGauge", " ", "=", " ", "True"}], ";"}],
|
---|
497 | "\[IndentingNewLine]"}], "\[IndentingNewLine]",
|
---|
498 | RowBox[{"WriteFeynArtsOutput", "[",
|
---|
499 | RowBox[{
|
---|
500 | "LGauge", ",", "LHiggs", ",", "LFermions", ",", "LYukawa", ",", "LGhost",
|
---|
501 | ",",
|
---|
502 | RowBox[{"FlavorExpand", "\[Rule]", "SU2W"}], ",",
|
---|
503 | RowBox[{"Output", "\[Rule]", "\"\<SM.mod\>\""}]}], "]"}]}], "Input",
|
---|
504 | CellChangeTimes->{{3.411911018354619*^9, 3.4119110196967573`*^9}, {
|
---|
505 | 3.412185470680571*^9, 3.412185506240796*^9}, {3.4234161971513453`*^9,
|
---|
506 | 3.423416209716672*^9}}]
|
---|
507 | }, Open ]],
|
---|
508 |
|
---|
509 | Cell[CellGroupData[{
|
---|
510 |
|
---|
511 | Cell["Sherpa output", "Subsection",
|
---|
512 | CellChangeTimes->{{3.4119110460271273`*^9, 3.411911049405038*^9}}],
|
---|
513 |
|
---|
514 | Cell["The Sherpa output for the SM can be obtained via", "Text",
|
---|
515 | CellChangeTimes->{{3.411910955110715*^9, 3.4119109690877657`*^9}, {
|
---|
516 | 3.411911059590749*^9, 3.4119110601885567`*^9}}],
|
---|
517 |
|
---|
518 | Cell[BoxData[{
|
---|
519 | RowBox[{
|
---|
520 | RowBox[{
|
---|
521 | RowBox[{"FeynmanGauge", "=", "False"}], ";"}],
|
---|
522 | "\[IndentingNewLine]"}], "\[IndentingNewLine]",
|
---|
523 | RowBox[{"WriteSHOutput", "[",
|
---|
524 | RowBox[{"LGauge", ",", "LHiggs", ",", "LFermions", ",", "LYukawa"}],
|
---|
525 | "]"}]}], "Input",
|
---|
526 | CellChangeTimes->{{3.4119110943383636`*^9, 3.41191110054212*^9}, {
|
---|
527 | 3.412185455856553*^9, 3.412185456628922*^9}, {3.4143156544792233`*^9,
|
---|
528 | 3.414315668290971*^9}, {3.423416222700699*^9, 3.423416235756197*^9}}]
|
---|
529 | }, Open ]],
|
---|
530 |
|
---|
531 | Cell[CellGroupData[{
|
---|
532 |
|
---|
533 | Cell["CalcHep output", "Subsection",
|
---|
534 | CellChangeTimes->{{3.4119110460271273`*^9, 3.411911049405038*^9}, {
|
---|
535 | 3.411911150323291*^9, 3.4119111515122623`*^9}}],
|
---|
536 |
|
---|
537 | Cell["CalcHep also supports the Feynman gauge", "Text",
|
---|
538 | CellChangeTimes->{{3.4121853722243843`*^9, 3.412185380407339*^9}}],
|
---|
539 |
|
---|
540 | Cell[BoxData[{
|
---|
541 | RowBox[{
|
---|
542 | RowBox[{
|
---|
543 | RowBox[{"FeynmanGauge", "=", "True"}], ";"}],
|
---|
544 | "\[IndentingNewLine]"}], "\[IndentingNewLine]",
|
---|
545 | RowBox[{
|
---|
546 | RowBox[{"WriteCHOutput", "[",
|
---|
547 | RowBox[{
|
---|
548 | "LGauge", ",", "LHiggs", ",", "LFermions", ",", "LYukawa", ",", "LGhost"}],
|
---|
549 | "]"}], ";"}]}], "Input",
|
---|
550 | CellChangeTimes->{{3.4119110943383636`*^9, 3.41191110054212*^9}, {
|
---|
551 | 3.412185409690489*^9, 3.4121854275198507`*^9}, {3.412450479942018*^9,
|
---|
552 | 3.4124504817138367`*^9}}],
|
---|
553 |
|
---|
554 | Cell[BoxData[""], "Input",
|
---|
555 | CellChangeTimes->{3.412185367693318*^9, 3.412185407947097*^9}]
|
---|
556 | }, Open ]],
|
---|
557 |
|
---|
558 | Cell[CellGroupData[{
|
---|
559 |
|
---|
560 | Cell["Whizard output", "Subsection",
|
---|
561 | CellChangeTimes->{{3.4119110460271273`*^9, 3.411911049405038*^9}, {
|
---|
562 | 3.411911150323291*^9, 3.4119111515122623`*^9}, {3.5074389822322817`*^9,
|
---|
563 | 3.507438983565652*^9}}],
|
---|
564 |
|
---|
565 | Cell["Whizard also supports the Feynman gauge", "Text",
|
---|
566 | CellChangeTimes->{{3.4121853722243843`*^9, 3.412185380407339*^9}, {
|
---|
567 | 3.507438990997637*^9, 3.507438992828805*^9}}],
|
---|
568 |
|
---|
569 | Cell[BoxData[{
|
---|
570 | RowBox[{
|
---|
571 | RowBox[{
|
---|
572 | RowBox[{"FeynmanGauge", "=", "True"}], ";"}],
|
---|
573 | "\[IndentingNewLine]"}], "\[IndentingNewLine]",
|
---|
574 | RowBox[{
|
---|
575 | RowBox[{"WriteWOOutput", "[",
|
---|
576 | RowBox[{
|
---|
577 | "LGauge", ",", "LHiggs", ",", "LFermions", ",", "LYukawa", ",", "LGhost"}],
|
---|
578 | "]"}], ";"}]}], "Input",
|
---|
579 | CellChangeTimes->{{3.4119110943383636`*^9, 3.41191110054212*^9}, {
|
---|
580 | 3.412185409690489*^9, 3.4121854275198507`*^9}, {3.412450479942018*^9,
|
---|
581 | 3.4124504817138367`*^9}, {3.507438986168689*^9, 3.507438987383316*^9}}],
|
---|
582 |
|
---|
583 | Cell[BoxData[""], "Input",
|
---|
584 | CellChangeTimes->{3.412185367693318*^9, 3.412185407947097*^9}]
|
---|
585 | }, Open ]],
|
---|
586 |
|
---|
587 | Cell[CellGroupData[{
|
---|
588 |
|
---|
589 | Cell["UFO output", "Subsection",
|
---|
590 | CellChangeTimes->{{3.4119110460271273`*^9, 3.411911049405038*^9}, {
|
---|
591 | 3.411911150323291*^9, 3.4119111515122623`*^9}, {3.5074389822322817`*^9,
|
---|
592 | 3.507438983565652*^9}, {3.507439158477231*^9, 3.507439159035309*^9}}],
|
---|
593 |
|
---|
594 | Cell[BoxData[
|
---|
595 | RowBox[{
|
---|
596 | RowBox[{"WriteUFO", "[",
|
---|
597 | RowBox[{
|
---|
598 | "LGauge", ",", "LHiggs", ",", "LFermions", ",", "LYukawa", ",", "LGhost"}],
|
---|
599 | "]"}], ";"}]], "Input",
|
---|
600 | CellChangeTimes->{
|
---|
601 | 3.412185367693318*^9, 3.412185407947097*^9, {3.5074391727475023`*^9,
|
---|
602 | 3.5074391804929533`*^9}}]
|
---|
603 | }, Open ]]
|
---|
604 | }, Closed]],
|
---|
605 |
|
---|
606 | Cell[CellGroupData[{
|
---|
607 |
|
---|
608 | Cell["NLO (QCD)", "Subsubtitle",
|
---|
609 | CellChangeTimes->{{3.606568224887179*^9, 3.606568225228436*^9}, {
|
---|
610 | 3.606568338418679*^9, 3.606568340840477*^9}}],
|
---|
611 |
|
---|
612 | Cell[BoxData[
|
---|
613 | RowBox[{"(*",
|
---|
614 | RowBox[{
|
---|
615 | "Renormalization", " ", "and", " ", "output", " ", "to", " ", "FA"}],
|
---|
616 | "*)"}]], "Input",
|
---|
617 | CellChangeTimes->{{3.606568280586434*^9, 3.606568289181669*^9}, {
|
---|
618 | 3.606568347601158*^9, 3.606568356208818*^9}}],
|
---|
619 |
|
---|
620 | Cell[BoxData[{
|
---|
621 | RowBox[{
|
---|
622 | RowBox[{"Lren", "=",
|
---|
623 | RowBox[{"OnShellRenormalization", "[",
|
---|
624 | RowBox[{"LSM", ",",
|
---|
625 | RowBox[{"QCDOnly", "\[Rule]", "True"}], ",",
|
---|
626 | RowBox[{"FlavorMixing", "\[Rule]", "False"}]}], "]"}]}],
|
---|
627 | ";"}], "\[IndentingNewLine]",
|
---|
628 | RowBox[{
|
---|
629 | RowBox[{"SetDirectory", "[", "\"\<~/celine/FeynArts-3.7/Models\>\"", "]"}],
|
---|
630 | ";"}], "\[IndentingNewLine]",
|
---|
631 | RowBox[{"WriteFeynArtsOutput", "[",
|
---|
632 | RowBox[{"Lren", ",",
|
---|
633 | RowBox[{"Output", "\[Rule]", "\"\<SMQCDrenoL\>\""}], ",",
|
---|
634 | RowBox[{"GenericFile", "\[Rule]", "False"}]}], "]"}]}], "Input",
|
---|
635 | CellChangeTimes->{{3.606568250159355*^9, 3.6065682552288523`*^9}, {
|
---|
636 | 3.6065683087252502`*^9, 3.6065683093453608`*^9}, {3.6065684035728207`*^9,
|
---|
637 | 3.606568404147846*^9}}],
|
---|
638 |
|
---|
639 | Cell[BoxData[
|
---|
640 | RowBox[{"(*",
|
---|
641 | RowBox[{"Computation", " ", "of", " ", "the", " ", "Counterterms"}],
|
---|
642 | "*)"}]], "Input",
|
---|
643 | CellChangeTimes->{{3.606568413917823*^9, 3.6065684261433983`*^9}}],
|
---|
644 |
|
---|
645 | Cell[BoxData[
|
---|
646 | RowBox[{"Quit", "[", "]"}]], "Input",
|
---|
647 | CellChangeTimes->{{3.606568433162343*^9, 3.606568438694559*^9}}],
|
---|
648 |
|
---|
649 | Cell[BoxData[{
|
---|
650 | RowBox[{
|
---|
651 | RowBox[{"SetDirectory", "[", "\"\<< FeynArts directory >\>\"", "]"}],
|
---|
652 | ";"}], "\[IndentingNewLine]",
|
---|
653 | RowBox[{"<<", " ", "FeynArts`"}], "\[IndentingNewLine]",
|
---|
654 | RowBox[{
|
---|
655 | RowBox[{"SetDirectory", "[", "\"\<< NLOCT directory >\>\"", "]"}],
|
---|
656 | ";"}], "\[IndentingNewLine]",
|
---|
657 | RowBox[{"<<", " ", "NLOCT`"}]}], "Input",
|
---|
658 | CellChangeTimes->{{3.6065684720815067`*^9, 3.6065685038224916`*^9}}],
|
---|
659 |
|
---|
660 | Cell[BoxData[
|
---|
661 | RowBox[{
|
---|
662 | RowBox[{"WriteCT", "[",
|
---|
663 | RowBox[{
|
---|
664 | "\"\<SMQCDrenoL/SMQCDrenoL\>\"", ",", "\"\<Lorentz\>\"", ",",
|
---|
665 | "\"\<SMQCDreno\>\"", ",",
|
---|
666 | RowBox[{"LabelInternal", "\[Rule]", "True"}], ",",
|
---|
667 | RowBox[{"QCDOnly", "\[Rule]", "True"}], ",",
|
---|
668 | RowBox[{"KeptIndices", "\[Rule]",
|
---|
669 | RowBox[{"{", "}"}]}], ",",
|
---|
670 | RowBox[{"ZeroMom", "\[Rule]",
|
---|
671 | RowBox[{"{",
|
---|
672 | RowBox[{"{",
|
---|
673 | RowBox[{"aS", ",",
|
---|
674 | RowBox[{"{",
|
---|
675 | RowBox[{
|
---|
676 | RowBox[{"F", "[", "7", "]"}], ",",
|
---|
677 | RowBox[{"V", "[", "4", "]"}], ",",
|
---|
678 | RowBox[{"-",
|
---|
679 | RowBox[{"F", "[", "7", "]"}]}]}], "}"}], ",", "0"}], "}"}],
|
---|
680 | "}"}]}], ",",
|
---|
681 | RowBox[{"ComplexMass", "\[Rule]", "False"}]}], "]"}], "//", "Timing",
|
---|
682 | " "}]], "Input",
|
---|
683 | CellChangeTimes->{{3.606569782037321*^9, 3.606569798425932*^9}}],
|
---|
684 |
|
---|
685 | Cell[BoxData[
|
---|
686 | RowBox[{"(*",
|
---|
687 | RowBox[{
|
---|
688 | "Quit", " ", "and", " ", "reload", " ", "FeynRules", " ", "and", " ", "the",
|
---|
689 | " ", "model", " ", "with", " ", "the", " ", "restrictions"}],
|
---|
690 | "*)"}]], "Input",
|
---|
691 | CellChangeTimes->{{3.6065685476941853`*^9, 3.6065685843784647`*^9}}],
|
---|
692 |
|
---|
693 | Cell[BoxData[{
|
---|
694 | RowBox[{
|
---|
695 | RowBox[{
|
---|
696 | "SetDirectory", "[",
|
---|
697 | "\"\<~/celine/feynrules/trunk/feynrules-development/R2\>\"", "]"}],
|
---|
698 | ";"}], "\[IndentingNewLine]",
|
---|
699 | RowBox[{
|
---|
700 | RowBox[{"Get", "[", "\"\<SMQCDreno.nlo\>\"", "]"}], ";"}]}], "Input"],
|
---|
701 |
|
---|
702 | Cell[BoxData[
|
---|
703 | RowBox[{"WriteUFO", "[",
|
---|
704 | RowBox[{"LSM", ",",
|
---|
705 | RowBox[{"UVCounterterms", "\[Rule]", "UV$vertlist"}], ",",
|
---|
706 | RowBox[{"R2Vertices", "\[Rule]", "R2$vertlist"}], ",",
|
---|
707 | RowBox[{"Output", "\[Rule]", "\"\<SM_NLO\>\""}]}], "]"}]], "Input",
|
---|
708 | CellChangeTimes->{{3.60656864069383*^9, 3.606568704839243*^9}}]
|
---|
709 | }, Open ]]
|
---|
710 | }, Open ]]
|
---|
711 | },
|
---|
712 | WindowSize->{1276, 756},
|
---|
713 | WindowMargins->{{0, Automatic}, {Automatic, 0}},
|
---|
714 | ShowSelection->True,
|
---|
715 | Magnification:>FEPrivate`If[
|
---|
716 | FEPrivate`Equal[FEPrivate`$VersionNumber, 6.], 2., 2. Inherited],
|
---|
717 | FrontEndVersion->"8.0 for Mac OS X x86 (32-bit, 64-bit Kernel) (November 6, \
|
---|
718 | 2010)",
|
---|
719 | StyleDefinitions->"Default.nb"
|
---|
720 | ]
|
---|
721 | (* End of Notebook Content *)
|
---|
722 |
|
---|
723 | (* Internal cache information *)
|
---|
724 | (*CellTagsOutline
|
---|
725 | CellTagsIndex->{}
|
---|
726 | *)
|
---|
727 | (*CellTagsIndex
|
---|
728 | CellTagsIndex->{}
|
---|
729 | *)
|
---|
730 | (*NotebookFileOutline
|
---|
731 | Notebook[{
|
---|
732 | Cell[545, 20, 120, 2, 54, "Input"],
|
---|
733 | Cell[668, 24, 306, 7, 54, "Input"],
|
---|
734 | Cell[977, 33, 120, 2, 54, "Input"],
|
---|
735 | Cell[1100, 37, 207, 5, 54, "Input"],
|
---|
736 | Cell[CellGroupData[{
|
---|
737 | Cell[1332, 46, 35, 0, 152, "Title"],
|
---|
738 | Cell[1370, 48, 62, 0, 52, "Text"],
|
---|
739 | Cell[1435, 50, 1026, 14, 54, "Input"],
|
---|
740 | Cell[2464, 66, 201, 4, 54, "Input"],
|
---|
741 | Cell[CellGroupData[{
|
---|
742 | Cell[2690, 74, 102, 1, 134, "Section"],
|
---|
743 | Cell[CellGroupData[{
|
---|
744 | Cell[2817, 79, 100, 1, 136, "Subsection"],
|
---|
745 | Cell[2920, 82, 257, 5, 104, "Text"],
|
---|
746 | Cell[3180, 89, 95, 1, 108, "Input"],
|
---|
747 | Cell[CellGroupData[{
|
---|
748 | Cell[3300, 94, 105, 1, 96, "Subsubsection"],
|
---|
749 | Cell[3408, 97, 219, 4, 104, "Text"],
|
---|
750 | Cell[3630, 103, 98, 1, 108, "Input"]
|
---|
751 | }, Open ]],
|
---|
752 | Cell[CellGroupData[{
|
---|
753 | Cell[3765, 109, 154, 2, 96, "Subsubsection"],
|
---|
754 | Cell[3922, 113, 270, 6, 104, "Text"],
|
---|
755 | Cell[4195, 121, 147, 2, 108, "Input"]
|
---|
756 | }, Open ]],
|
---|
757 | Cell[CellGroupData[{
|
---|
758 | Cell[4379, 128, 158, 2, 96, "Subsubsection"],
|
---|
759 | Cell[4540, 132, 272, 5, 104, "Text"],
|
---|
760 | Cell[4815, 139, 148, 2, 108, "Input"]
|
---|
761 | }, Open ]],
|
---|
762 | Cell[CellGroupData[{
|
---|
763 | Cell[5000, 146, 155, 2, 96, "Subsubsection"],
|
---|
764 | Cell[5158, 150, 271, 6, 104, "Text"],
|
---|
765 | Cell[5432, 158, 150, 2, 108, "Input"]
|
---|
766 | }, Open ]]
|
---|
767 | }, Open ]],
|
---|
768 | Cell[CellGroupData[{
|
---|
769 | Cell[5631, 166, 148, 2, 136, "Subsection"],
|
---|
770 | Cell[5782, 170, 195, 4, 104, "Text"],
|
---|
771 | Cell[5980, 176, 149, 3, 108, "Input"],
|
---|
772 | Cell[6132, 181, 303, 5, 104, "Text"],
|
---|
773 | Cell[6438, 188, 95, 1, 108, "Input"],
|
---|
774 | Cell[CellGroupData[{
|
---|
775 | Cell[6558, 193, 105, 1, 96, "Subsubsection"],
|
---|
776 | Cell[6666, 196, 219, 4, 104, "Text"],
|
---|
777 | Cell[6888, 202, 98, 1, 108, "Input"]
|
---|
778 | }, Open ]],
|
---|
779 | Cell[CellGroupData[{
|
---|
780 | Cell[7023, 208, 154, 2, 96, "Subsubsection"],
|
---|
781 | Cell[7180, 212, 270, 6, 104, "Text"],
|
---|
782 | Cell[7453, 220, 147, 2, 108, "Input"]
|
---|
783 | }, Open ]],
|
---|
784 | Cell[CellGroupData[{
|
---|
785 | Cell[7637, 227, 158, 2, 96, "Subsubsection"],
|
---|
786 | Cell[7798, 231, 272, 5, 104, "Text"],
|
---|
787 | Cell[8073, 238, 148, 2, 108, "Input"]
|
---|
788 | }, Open ]],
|
---|
789 | Cell[CellGroupData[{
|
---|
790 | Cell[8258, 245, 155, 2, 96, "Subsubsection"],
|
---|
791 | Cell[8416, 249, 271, 6, 104, "Text"],
|
---|
792 | Cell[8690, 257, 150, 2, 108, "Input"]
|
---|
793 | }, Open ]],
|
---|
794 | Cell[CellGroupData[{
|
---|
795 | Cell[8877, 264, 205, 3, 96, "Subsubsection"],
|
---|
796 | Cell[9085, 269, 316, 5, 104, "Text"],
|
---|
797 | Cell[9404, 276, 198, 3, 108, "Input"]
|
---|
798 | }, Open ]]
|
---|
799 | }, Open ]]
|
---|
800 | }, Closed]],
|
---|
801 | Cell[CellGroupData[{
|
---|
802 | Cell[9663, 286, 110, 1, 70, "Section"],
|
---|
803 | Cell[9776, 289, 199, 4, 108, "Input"],
|
---|
804 | Cell[CellGroupData[{
|
---|
805 | Cell[10000, 297, 110, 1, 136, "Subsection"],
|
---|
806 | Cell[10113, 300, 134, 1, 104, "Text"],
|
---|
807 | Cell[10250, 303, 192, 3, 108, "Input"],
|
---|
808 | Cell[10445, 308, 157, 3, 104, "Text"],
|
---|
809 | Cell[10605, 313, 206, 4, 108, "Input"]
|
---|
810 | }, Open ]],
|
---|
811 | Cell[CellGroupData[{
|
---|
812 | Cell[10848, 322, 114, 1, 136, "Subsection"],
|
---|
813 | Cell[10965, 325, 230, 4, 164, "Text"],
|
---|
814 | Cell[11198, 331, 166, 3, 108, "Input"]
|
---|
815 | }, Open ]],
|
---|
816 | Cell[CellGroupData[{
|
---|
817 | Cell[11401, 339, 113, 1, 136, "Subsection"],
|
---|
818 | Cell[11517, 342, 181, 4, 104, "Text"],
|
---|
819 | Cell[11701, 348, 219, 4, 108, "Input"],
|
---|
820 | Cell[11923, 354, 173, 4, 104, "Text"],
|
---|
821 | Cell[12099, 360, 151, 3, 108, "Input"]
|
---|
822 | }, Open ]]
|
---|
823 | }, Closed]],
|
---|
824 | Cell[CellGroupData[{
|
---|
825 | Cell[12299, 369, 116, 1, 70, "Section"],
|
---|
826 | Cell[12418, 372, 170, 4, 104, "Text"],
|
---|
827 | Cell[12591, 378, 149, 3, 108, "Input"],
|
---|
828 | Cell[CellGroupData[{
|
---|
829 | Cell[12765, 385, 100, 1, 136, "Subsection"],
|
---|
830 | Cell[12868, 388, 457, 10, 108, "Input"]
|
---|
831 | }, Open ]],
|
---|
832 | Cell[CellGroupData[{
|
---|
833 | Cell[13362, 403, 76, 1, 136, "Subsection"],
|
---|
834 | Cell[13441, 406, 258, 5, 108, "Input"]
|
---|
835 | }, Open ]],
|
---|
836 | Cell[CellGroupData[{
|
---|
837 | Cell[13736, 416, 35, 0, 136, "Subsection"],
|
---|
838 | Cell[13774, 418, 417, 7, 108, "Input"]
|
---|
839 | }, Open ]],
|
---|
840 | Cell[CellGroupData[{
|
---|
841 | Cell[14228, 430, 35, 0, 136, "Subsection"],
|
---|
842 | Cell[14266, 432, 360, 8, 108, "Input"]
|
---|
843 | }, Open ]],
|
---|
844 | Cell[CellGroupData[{
|
---|
845 | Cell[14663, 445, 101, 1, 136, "Subsection"],
|
---|
846 | Cell[14767, 448, 433, 9, 108, "Input"]
|
---|
847 | }, Open ]]
|
---|
848 | }, Closed]],
|
---|
849 | Cell[CellGroupData[{
|
---|
850 | Cell[15249, 463, 132, 2, 70, "Section"],
|
---|
851 | Cell[CellGroupData[{
|
---|
852 | Cell[15406, 469, 103, 1, 136, "Subsection"],
|
---|
853 | Cell[15512, 472, 185, 2, 104, "Text"],
|
---|
854 | Cell[15700, 476, 569, 11, 290, "Input"],
|
---|
855 | Cell[16272, 489, 124, 1, 104, "Text"],
|
---|
856 | Cell[16399, 492, 575, 13, 290, "Input"]
|
---|
857 | }, Open ]],
|
---|
858 | Cell[CellGroupData[{
|
---|
859 | Cell[17011, 510, 103, 1, 136, "Subsection"],
|
---|
860 | Cell[17117, 513, 183, 2, 104, "Text"],
|
---|
861 | Cell[17303, 517, 474, 10, 230, "Input"]
|
---|
862 | }, Open ]],
|
---|
863 | Cell[CellGroupData[{
|
---|
864 | Cell[17814, 532, 155, 2, 272, "Subsection"],
|
---|
865 | Cell[17972, 536, 123, 1, 208, "Text"],
|
---|
866 | Cell[18098, 539, 468, 12, 460, "Input"],
|
---|
867 | Cell[18569, 553, 90, 1, 216, "Input"]
|
---|
868 | }, Open ]],
|
---|
869 | Cell[CellGroupData[{
|
---|
870 | Cell[18696, 559, 206, 3, 272, "Subsection"],
|
---|
871 | Cell[18905, 564, 172, 2, 208, "Text"],
|
---|
872 | Cell[19080, 568, 514, 12, 460, "Input"],
|
---|
873 | Cell[19597, 582, 90, 1, 216, "Input"]
|
---|
874 | }, Open ]],
|
---|
875 | Cell[CellGroupData[{
|
---|
876 | Cell[19724, 588, 248, 3, 272, "Subsection"],
|
---|
877 | Cell[19975, 593, 291, 8, 216, "Input"]
|
---|
878 | }, Open ]]
|
---|
879 | }, Closed]],
|
---|
880 | Cell[CellGroupData[{
|
---|
881 | Cell[20315, 607, 147, 2, 52, "Subsubtitle"],
|
---|
882 | Cell[20465, 611, 248, 6, 54, "Input"],
|
---|
883 | Cell[20716, 619, 749, 17, 115, "Input"],
|
---|
884 | Cell[21468, 638, 189, 4, 54, "Input"],
|
---|
885 | Cell[21660, 644, 118, 2, 54, "Input"],
|
---|
886 | Cell[21781, 648, 415, 9, 145, "Input"],
|
---|
887 | Cell[22199, 659, 847, 23, 145, "Input"],
|
---|
888 | Cell[23049, 684, 276, 6, 54, "Input"],
|
---|
889 | Cell[23328, 692, 246, 7, 85, "Input"],
|
---|
890 | Cell[23577, 701, 321, 6, 85, "Input"]
|
---|
891 | }, Open ]]
|
---|
892 | }, Open ]]
|
---|
893 | }
|
---|
894 | ]
|
---|
895 | *)
|
---|
896 |
|
---|
897 | (* End of internal cache information *)
|
---|