MSSMD: MSSMD.fr

File MSSMD.fr, 46.0 KB (added by WeiShi, 7 years ago)

FeynRule file of the model

Line 
1(* ********************************************************* *)
2(* ***** ***** *)
3(* ***** FeynRules model file: MSSM + broken U1D ***** *)
4(* ***** Author: W. Shi ***** *)
5(* ***** ***** *)
6(* ********************************************************* *)
7
8(* ************************** *)
9(* ***** Information ***** *)
10(* ************************** *)
11M$ModelName = "MSSMD";
12M$Information = { Authors->{"Wei Shi"}, Emails->{"weishi@rice.edu"}, Institutions->{"Rice University"},
13 Date->"03.21.2018", Version->"1",
14 References->{"C. Duhr, B. Fuks, CPC 182 (2011) 2404-2462, arXiv:1102.4191 [hep-ph]"} };
15
16(* v1: Initial commit for implementating Dark SUSY benchmark model used in CMS-PAS-HIG-16-035 *)
17
18(* ************************** *)
19(* ***** Flags ***** *)
20(* ************************** *)
21$CKMDiag = False; (* CKM = identity or not *)
22$MNSDiag = True; (* PMNS = identity or not *)
23FeynmanGauge = True;
24
25(* ************************** *)
26(* ***** Gauge groups ***** *)
27(* ************************** *)
28M$GaugeGroups = {
29 U1Y == { Abelian->True, CouplingConstant->gp, Superfield->BSF, Charge->Y, GUTNormalization->3/5},
30 (* Add U(1)D for new gauge boson *)
31 U1D == { Abelian->True, CouplingConstant->gd, Superfield->XSF, Charge->X},
32 SU2L == { Abelian->False, CouplingConstant->gw, Superfield->WSF,
33 StructureConstant->ep, Representations->{Ta,SU2D}, Definitions->{Ta[a__]->PauliSigma[a]/2, ep->Eps}},
34 SU3C == { Abelian->False, CouplingConstant->gs, Superfield->GSF,
35 StructureConstant->f, Representations->{{T,Colour}, {Tb,Colourb}}, DTerm->dSUN}
36};
37
38(* ************************** *)
39(* *** Interaction orders *** *)
40(* ************************** *)
41(* Add New Physics order limit, 4 NP vertexes *)
42M$InteractionOrderLimit = { {NP, 4} };
43M$InteractionOrderHierarchy = { {QCD, 1}, {NP, 2}, {QED, 2} };
44
45(* ************************** *)
46(* ***** Indices ***** *)
47(* ************************** *)
48IndexRange[Index[SU2W]] = Unfold[Range[3]]; IndexStyle[SU2W,j]; IndexRange[Index[SU2D]] = Unfold[Range[2]]; IndexStyle[SU2D,k];
49IndexRange[Index[Gluon ]] = NoUnfold[Range[8]]; IndexStyle[Gluon, a]; IndexRange[Index[Colour]] = NoUnfold[Range[3]]; IndexStyle[Colour, m];
50IndexRange[Index[Colourb]] = NoUnfold[Range[3]]; IndexStyle[Colourb,m];
51IndexRange[Index[NEU ]] = Range[4]; IndexStyle[NEU, i];
52IndexRange[Index[CHA ]] = Range[2]; IndexStyle[CHA, i];
53IndexRange[Index[GEN ]] = Range[3]; IndexStyle[GEN, f];
54IndexRange[Index[SCA ]] = Range[6]; IndexStyle[SCA, i];
55
56(* ************************** *)
57(* ***** Superfields ***** *)
58(* ************************** *)
59M$Superfields = {
60 VSF[1] == { ClassName->BSF, GaugeBoson->B, Gaugino->bow},
61 VSF[2] == { ClassName->WSF, GaugeBoson->Wi, Gaugino->wow, Indices->{Index[SU2W]}},
62 VSF[3] == { ClassName->GSF, GaugeBoson->G, Gaugino->gow, Indices->{Index[Gluon]}},
63 VSF[4] == { ClassName->XSF, GaugeBoson->AD, Gaugino->dow},
64 CSF[1] == { ClassName->HU, Chirality->Left, Weyl->huw, Scalar->hus, QuantumNumbers->{Y-> 1/2}, Indices->{Index[SU2D]}},
65 CSF[2] == { ClassName->HD, Chirality->Left, Weyl->hdw, Scalar->hds, QuantumNumbers->{Y->-1/2}, Indices->{Index[SU2D]}},
66 CSF[3] == { ClassName->LL, Chirality->Left, Weyl->LLw, Scalar->LLs, QuantumNumbers->{Y->-1/2}, Indices->{Index[SU2D], Index[GEN]}},
67 CSF[4] == { ClassName->ER, Chirality->Left, Weyl->ERw, Scalar->ERs, QuantumNumbers->{Y-> 1}, Indices->{Index[GEN]}},
68 CSF[5] == { ClassName->VR, Chirality->Left, Weyl->VRw, Scalar->VRs, Indices->{Index[GEN]}},
69 CSF[6] == { ClassName->QL, Chirality->Left, Weyl->QLw, Scalar->QLs, QuantumNumbers->{Y-> 1/6}, Indices->{Index[SU2D], Index[GEN], Index[Colour]}},
70 CSF[7] == { ClassName->UR, Chirality->Left, Weyl->URw, Scalar->URs, QuantumNumbers->{Y->-2/3}, Indices->{Index[GEN], Index[Colourb]}},
71 CSF[8] == { ClassName->DR, Chirality->Left, Weyl->DRw, Scalar->DRs, QuantumNumbers->{Y-> 1/3}, Indices->{Index[GEN], Index[Colourb]}}
72};
73
74(* ************************** *)
75(* ***** Fields ***** *)
76(* ************************** *)
77M$ClassesDescription = {
78(* Gauge bosons: unphysical vector fields *)
79 V[11] == { ClassName->B, Unphysical->True, SelfConjugate->True,
80 Definitions->{B[mu_]->-sw Z[mu]+cw A[mu]} },
81 V[12] == { ClassName->Wi, Unphysical->True, SelfConjugate->True, Indices->{Index[SU2W]}, FlavorIndex->SU2W,
82 Definitions-> {Wi[mu_,1]->(Wbar[mu]+W[mu])/Sqrt[2], Wi[mu_,2]->(Wbar[mu]-W[mu])/(I*Sqrt[2]), Wi[mu_,3]->cw Z[mu] + sw A[mu]} },
83
84(* Gauge bosons: physical vector fields *)
85 V[1] == { ClassName->A, SelfConjugate->True, Mass->0, Width->0, ParticleName->"a",
86 PDG->22, PropagatorLabel->"A", PropagatorType->Sine, PropagatorArrow->None},
87 V[2] == { ClassName->Z, SelfConjugate->True, Mass->MZ, Width->WZ, ParticleName->"Z",
88 PDG->23, PropagatorLabel->"Z", PropagatorType->Sine, PropagatorArrow->None},
89 V[3] == { ClassName->W, SelfConjugate->False, Mass->MW, Width->WW, ParticleName->"W+", AntiParticleName->"W-", QuantumNumbers->{Q->1},
90 PDG->24, PropagatorLabel->"W", PropagatorType->Sine, PropagatorArrow->Forward},
91 V[4] == { ClassName->G, SelfConjugate->True, Indices->{Index[Gluon]}, Mass->0, Width->0, ParticleName->"g",
92 PDG->21, PropagatorLabel->"G", PropagatorType->C, PropagatorArrow->None },
93(* Add physics field for dark photon *)
94 V[5] == { ClassName->AD, SelfConjugate->True, Mass->MAD, Width->WAD, ParticleName->"ad",
95 PDG->3000022, PropagatorLabel->"AD", PropagatorType->Sine, PropagatorArrow->None},
96
97(* Gauginos: unphysical Weyls *)
98 W[20] == { ClassName->bow, Unphysical->True, Chirality->Left, SelfConjugate->False,
99 Definitions->{bow[s_]:>Module[{i}, -I*Conjugate[NN[i,1]]*neuw[s,i]]}},
100 W[21] == { ClassName->wow, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2W]}, FlavorIndex->SU2W,
101 Definitions->{
102 wow[s_,1]:>Module[{i},(Conjugate[UU[i,1]]*chmw[s,i]+Conjugate[VV[i,1]]*chpw[s,i])/(I*Sqrt[2])],
103 wow[s_,2]:>Module[{i},(Conjugate[UU[i,1]]*chmw[s,i]-Conjugate[VV[i,1]]*chpw[s,i])/(-Sqrt[2])],
104 wow[s_,3]:>Module[{i},-I*Conjugate[NN[i,2]]*neuw[s,i]]} },
105 W[22] == { ClassName->gow, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[Gluon]}, Definitions->{gow[inds__]->-I*goww[inds]} },
106(* Add Gaugino for U1D gauge boson *)
107 W[27] == { ClassName->dow, Unphysical->True, Chirality->Left, SelfConjugate->False, Definitions->{dow[_] -> 0} },
108
109(* Higgsinos: unphysical Weyls *)
110 W[23] == { ClassName->huw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y-> 1/2},
111 Definitions->{
112 huw[s_,1]:> Module[{i}, Conjugate[VV[i,2]]*chpw[s,i]],
113 huw[s_,2]:> Module[{i}, Conjugate[NN[i,4]]*neuw[s,i]] } },
114 W[24] == { ClassName->hdw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y->-1/2},
115 Definitions->{
116 hdw[s_,1]:> Module[{i}, Conjugate[NN[i,3]]*neuw[s,i]],
117 hdw[s_,2]:> Module[{i}, Conjugate[UU[i,2]]*chmw[s,i]]} },
118
119(* Gauginos/Higgsinos: physical Weyls *)
120 W[1] == { ClassName->neuw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[NEU]}, FlavorIndex->NEU },
121 W[2] == { ClassName->chpw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[CHA]}, FlavorIndex->CHA, QuantumNumbers->{Q-> 1} } ,
122 W[3] == { ClassName->chmw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[CHA]}, FlavorIndex->CHA, QuantumNumbers->{Q->-1} } ,
123 W[4] == { ClassName->goww, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[Gluon]} },
124
125(* Gauginos/Higgsinos: physical Diracs *)
126 F[1] == { ClassName->neu, SelfConjugate->True, Indices->{Index[NEU]}, FlavorIndex->NEU, WeylComponents->neuw,
127 ParticleName->{"n1","n2","n3","n4"}, ClassMembers->{neu1,neu2,neu3,neu4},
128 Mass->{Mneu,Mneu1,Mneu2,Mneu3,Mneu4}, Width->{Wneu,Wneu1,Wneu2,Wneu3,Wneu4},
129 PDG->{1000022,1000023,1000025,1000035}, PropagatorLabel->{"neu","neu1","neu2","neu3","neu4"}, PropagatorType->Straight, PropagatorArrow->None },
130 F[2] == { ClassName->ch, SelfConjugate->False, Indices->{Index[CHA]}, FlavorIndex->CHA, WeylComponents->{chpw,chmwbar},
131 ParticleName->{"x1+","x2+"}, AntiParticleName->{"x1-","x2-"}, QuantumNumbers->{Q ->1},
132 ClassMembers->{ch1,ch2}, Mass->{Mch,Mch1,Mch2}, Width->{Wch,Wch1,Wch2},
133 PDG->{1000024,1000037}, PropagatorLabel->{"ch","ch1","ch2"}, PropagatorType->Straight, PropagatorArrow->Forward },
134 F[3] == { ClassName->go, SelfConjugate->True, Indices->{Index[Gluon]}, WeylComponents->goww, Mass->Mgo, Width->Wgo, ParticleName->"go",
135 PDG->1000021, PropagatorLabel->"go", PropagatorType->Straight, PropagatorArrow->None },
136(* Add physics field for dark neutralino decaying from n1 *)
137 F[8] == { ClassName->neuD, SelfConjugate->True, ParticleName->"nD", Mass->MneuD, Width->WneuD,
138 PDG->3000001, PropagatorLabel->"neuD", PropagatorType->Straight, PropagatorArrow->None },
139
140(* Higgs: unphysical scalars *)
141 S[21] == { ClassName->hus, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y-> 1/2},
142 Definitions->{ hus[1]->Cos[beta]*H + Sin[beta]*GP, hus[2]-> (vu + Cos[alp]*h0 + Sin[alp]*H0 + I*Cos[beta]*A0 + I*Sin[beta]*G0)/Sqrt[2] } },
143 S[22] == { ClassName->hds, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y->-1/2},
144 Definitions->{ hds[1]->(vd - Sin[alp]*h0 + Cos[alp]*H0 + I*Sin[beta]*A0 - I*Cos[beta]*G0)/Sqrt[2],hds[2]->Sin[beta]*Hbar - Cos[beta]*GPbar} },
145
146(* Higgs: physical fields and Goldstones *)
147 S[1] == { ClassName->h0, SelfConjugate->True, Mass->MH01, Width->WH01, ParticleName->"h",
148 PDG->25, PropagatorLabel->"h0", PropagatorType->ScalarDash, PropagatorArrow->None},
149 S[2] == { ClassName->H0, SelfConjugate->True, Mass->MH02, Width->WH02, ParticleName->"h02",
150 PDG->35, PropagatorLabel->"H0", PropagatorType->ScalarDash, PropagatorArrow->None},
151 S[3] == { ClassName->A0, SelfConjugate->True, Mass->MA0 , Width->WA0, ParticleName->"A0" ,
152 PDG->36, PropagatorLabel->"A0", PropagatorType->ScalarDash, PropagatorArrow->None},
153 S[4] == { ClassName->H, SelfConjugate->False, QuantumNumbers->{Q-> 1}, Mass->MH, Width->WH,
154 ParticleName->"H+", AntiParticleName->"H-",
155 PDG->37, PropagatorLabel->"H", PropagatorType->ScalarDash, PropagatorArrow->Forward},
156 S[5] == { ClassName->G0, SelfConjugate->True, Mass->MZ, Width->WG0, Goldstone->Z,
157 ParticleName->"G0",
158 PDG->250, PropagatorLabel->"G0", PropagatorType->D, PropagatorArrow->None},
159 S[6] == { ClassName->GP, SelfConjugate->False, QuantumNumbers->{Q-> 1}, Mass->MW, Width->WGP, Goldstone->W,
160 ParticleName->"G+", AntiParticleName->"G-",
161 PDG->251, PropagatorLabel->"GP", PropagatorType->D, PropagatorArrow->None },
162
163(* Fermions: unphysical Weyls *)
164 W[25] == { ClassName->LLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D],Index[GEN]}, FlavorIndex->SU2D,
165 QuantumNumbers->{Y->-1/2},
166 Definitions->{LLw[s_,1,ff_]:>Module[{ff2}, PMNS[ff,ff2]*vLw[s,ff2]], LLw[s_,2,ff_]->eLw[s,ff]}},
167 W[26] == { ClassName->QLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D],Index[GEN],Index[Colour]},FlavorIndex->SU2D,
168 QuantumNumbers->{Y->1/6},
169 Definitions->{QLw[s_,1,ff_,cc_]->uLw[s,ff,cc], QLw[s_,2,ff_,cc_]:>Module[{ff2}, CKM[ff,ff2] dLw[s,ff2,cc]]}},
170
171(* Fermions: physical Weyls *)
172 W[5] == { ClassName->vLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN },
173 W[6] == { ClassName->eLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN },
174 W[7] == { ClassName->VRw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN },
175 W[8] == { ClassName->ERw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1} },
176 W[9] == { ClassName->uLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN },
177 W[10]== { ClassName->dLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN },
178 W[11]== { ClassName->URw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y->-2/3} },
179 W[12]== { ClassName->DRw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1/3} },
180
181(* Fermions: physical Dirac *)
182 F[4] == { ClassName->vl, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, WeylComponents->{vLw,VRwbar},
183 ParticleName->{"ve","vm","vt"}, AntiParticleName->{"ve~","vm~","vt~"},
184 ClassMembers->{ve,vm,vt}, Mass->{Mvl,Mve,Mvm,Mvt}, Width->0,
185 PDG->{12,14,16}, PropagatorLabel->{"v","ve","vm","vt"}, PropagatorType->Straight, PropagatorArrow->Forward},
186 F[5] == { ClassName->l, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, WeylComponents->{eLw,ERwbar}, QuantumNumbers->{Q->-1,X->0},
187 ParticleName->{"e-","mu-","tau-"}, AntiParticleName->{"e+","mu+","tau+"},
188 ClassMembers->{e,m,ta}, Mass->{Ml,Me,Mm,Mta}, Width->0,
189 PDG->{11,13,15}, PropagatorLabel->{"l","e","mu","tau"}, PropagatorType->Straight, PropagatorArrow->Forward},
190 F[6] == { ClassName->uq, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN, WeylComponents->{uLw,URwbar}, QuantumNumbers->{Q-> 2/3},
191 ParticleName->{"u","c","t"}, AntiParticleName->{"u~","c~","t~"},
192 ClassMembers->{u,c,t}, Mass->{Muq,MU,MC,MT}, Width->{Wuq,0,0,WT},
193 PDG->{2,4,6}, PropagatorLabel->{"uq","u","c","t"}, PropagatorType->Straight, PropagatorArrow->Forward},
194 F[7] == { ClassName->dq, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN, WeylComponents->{dLw,DRwbar}, QuantumNumbers->{Q->-1/3},
195 ParticleName->{"d","s","b"}, AntiParticleName->{"d~","s~","b~"},
196 ClassMembers->{d,s,b}, Mass->{Mdq,MD,MS,MB}, Width->0,
197 PDG->{1,3,5}, PropagatorLabel->{"dq","d","s","b"}, PropagatorType->Straight, PropagatorArrow->Forward},
198
199(* Sfermion: unphysical scalars *)
200 S[23] == { ClassName->LLs, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D], Index[GEN]}, FlavorIndex->SU2D, QuantumNumbers->{Y->-1/2},
201 Definitions->{ LLs[1,ff_] :> Module[{ff2,ff3}, Conjugate[Rn[ff3,ff2]]*PMNS[ff,ff2]*sn[ff3]], LLs[2,ff_]:> Module[{ff2}, Conjugate[RlL[ff2,ff]]*sl[ff2]] } },
202 S[24] == { ClassName->ERs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1},
203 Definitions->{ ERs[ff_] :> Module[{ff2}, slbar[ff2]*RlR[ff2,ff]]} },
204 S[25] == { ClassName->VRs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN,
205 Definitions->{ VRs[_] -> 0 } },
206 S[26] == { ClassName->QLs, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D], Index[GEN],Index[Colour]}, FlavorIndex->SU2D, QuantumNumbers->{Y->1/6},
207 Definitions->{
208 QLs[1,ff_,cc_]:>Module[{ff2},Conjugate[RuL[ff2,ff]]*su[ff2,cc]],
209 QLs[2,ff_,cc_]:>Module[{ff2,ff3},Conjugate[RdL[ff2,ff3]]*CKM[ff,ff3]*sd[ff2,cc]]}},
210 S[27] == { ClassName->URs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y->-2/3},
211 Definitions->{ URs[ff_,cc_]:>Module[{ff2}, subar[ff2,cc]*RuR[ff2,ff]]} },
212 S[28] == { ClassName->DRs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1/3},
213 Definitions->{ DRs[ff_,cc_]:>Module[{ff2}, sdbar[ff2,cc]*RdR[ff2,ff]]} },
214
215(* Sfermion: physical scalars *)
216 S[7] == { ClassName->sn, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN,
217 ParticleName->{"sv1","sv2","sv3"}, AntiParticleName->{"sv1~","sv2~","sv3~"},
218 ClassMembers-> {sn1, sn2, sn3}, Mass->{Msn,Msn1,Msn2,Msn3}, Width->{Wsn,Wsn1,Wsn2,Wsn3},
219 PDG->{1000012,1000014,1000016}, PropagatorLabel->{"sn","sn1","sn2","sn3"}, PropagatorType->ScalarDash, PropagatorArrow->Forward },
220 S[8] == { ClassName->sl, SelfConjugate->False, Indices->{Index[SCA]}, FlavorIndex->SCA, QuantumNumbers->{Q->-1},
221 ParticleName->{"sl1-","sl2-","sl3-","sl4-","sl5-","sl6-"}, AntiParticleName->{"sl1+","sl2+","sl3+","sl4+","sl5+","sl6+"},
222 ClassMembers->{sl1,sl2,sl3,sl4,sl5,sl6}, Mass->{Msl,Msl1,Msl2,Msl3,Msl4,Msl5,Msl6}, Width->{Wsl,Wsl1,Wsl2,Wsl3,Wsl4,Wsl5,Wsl6},
223 PDG->{1000011,1000013,1000015,2000011,2000013,2000015}, PropagatorLabel->{"sl","sl1","sl2","sl3","sl4","sl5","sl6"},
224 PropagatorType->ScalarDash, PropagatorArrow->Forward},
225 S[9] == { ClassName->su, SelfConjugate->False, Indices->{Index[SCA],Index[Colour]}, FlavorIndex->SCA, QuantumNumbers->{Q-> 2/3},
226 ParticleName->{"su1","su2","su3","su4","su5","su6"}, AntiParticleName->{"su1~","su2~","su3~","su4~","su5~","su6~"},
227 ClassMembers->{su1,su2,su3,su4,su5,su6}, Mass->{Msu,Msu1,Msu2,Msu3,Msu4,Msu5,Msu6}, Width->{Wsu,Wsu1,Wsu2,Wsu3,Wsu4,Wsu5,Wsu6},
228 PDG->{1000002,1000004,1000006,2000002,2000004,2000006}, PropagatorLabel->{"su","su1","su2","su3","su4","su5","su6"},
229 PropagatorType->ScalarDash, PropagatorArrow->Forward},
230 S[10]== { ClassName->sd, SelfConjugate->False, Indices->{Index[SCA],Index[Colour]}, FlavorIndex->SCA, QuantumNumbers->{Q->-1/3},
231 ParticleName->{"sd1","sd2","sd3","sd4","sd5","sd6"}, AntiParticleName->{"sd1~","sd2~","sd3~","sd4~","sd5~","sd6~"},
232 ClassMembers->{sd1,sd2,sd3,sd4,sd5,sd6}, Mass->{Msd,Msd1,Msd2,Msd3,Msd4,Msd5,Msd6}, Width->{Wsd,Wsd1,Wsd2,Wsd3,Wsd4,Wsd5,Wsd6},
233 PDG->{1000001,1000003,1000005,2000001,2000003,2000005}, PropagatorLabel->{"sd","sd1","sd2","sd3","sd4","sd5","sd6"},
234 PropagatorType->ScalarDash, PropagatorArrow->Forward},
235
236(* Ghost: related to unphysical gauge bosons *)
237 U[11] == { ClassName->ghWi, Unphysical->True, SelfConjugate->False, Ghost->Wi, Indices->{Index[SU2W]}, FlavorIndex->SU2W,
238 Definitions->{ghWi[1]->(ghWp+ghWm)/Sqrt[2], ghWi[2]->(ghWm-ghWp)/(I*Sqrt[2]), ghWi[3]->cw ghZ+sw ghA} } ,
239 U[12] == { ClassName->ghB, Unphysical->True, SelfConjugate->False, Ghost->B,
240 Definitions->{ghB->-sw ghZ+cw ghA} },
241
242(* Ghost: related to physical gauge bosons *)
243 U[1] == { ClassName->ghG, SelfConjugate->False, Indices->{Index[Gluon]}, Ghost->G, QuantumNumbers->{GhostNumber->1},
244 Mass->0, Width->0, ParticleName->"ghG", PropagatorLabel->"uG", PropagatorType->GhostDash, PropagatorArrow->Forward},
245 U[2] == { ClassName->ghA, SelfConjugate->False, Ghost->A, QuantumNumbers->{GhostNumber->1},
246 Mass->0, Width->0, ParticleName->"ghA", PropagatorLabel->"uA", PropagatorType->GhostDash, PropagatorArrow->Forward},
247 U[3] == { ClassName->ghZ, SelfConjugate->False, Ghost->Z, QuantumNumbers->{GhostNumber->1},
248 Mass->{MZ,Internal}, Width->WZ, ParticleName->"ghZ", PropagatorLabel->"uZ", PropagatorType->GhostDash, PropagatorArrow->Forward},
249 U[4] == { ClassName->ghWp, SelfConjugate->False, Ghost->W, QuantumNumbers->{GhostNumber->1, Q->1},
250 Mass->{MW,Internal}, Width->WW, ParticleName->"ghWp", PropagatorLabel->"uWp", PropagatorType->GhostDash, PropagatorArrow->Forward},
251 U[5] == { ClassName->ghWm, SelfConjugate->False, Ghost->Wbar, QuantumNumbers->{GhostNumber->1, Q->-1},
252 Mass->{MW,Internal}, Width->WW, ParticleName->"ghWm", PropagatorLabel->"uWm", PropagatorType->GhostDash, PropagatorArrow->Forward}
253};
254
255
256(* ************************** *)
257(* ***** Parameters ***** *)
258(* ************************** *)
259M$Parameters = {
260(* Mixing: external parameters *)
261 RMNS== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->UPMNS,
262 Description->"Neutrino PMNS mixing matrix (real part)"},
263 IMNS== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMUPMNS,
264 Description->"Neutrino PMNS mixing matrix (imaginary part)"},
265 RCKM== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->VCKM,
266 Description->"CKM mixing matrix (real part)"},
267 ICKM== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMVCKM,
268 Description->"CKM mixing matrix (imaginary part)"},
269 RNN == { ParameterType->External, ComplexParameter->False, Indices->{Index[NEU],Index[NEU]}, BlockName->NMIX,
270 Description->"Neutralino mixing matrix (real part)"},
271 INN == { ParameterType->External, ComplexParameter->False, Indices->{Index[NEU],Index[NEU]}, BlockName->IMNMIX,
272 Description->"Neutralino mixing matrix (imaginary part)"},
273 RUU == { ParameterType->External, ComplexParameter->False, Indices->{Index[CHA],Index[CHA]}, BlockName->UMIX,
274 Description->"Chargino mixing matrix U (real part)"},
275 IUU == { ParameterType->External, ComplexParameter->False, Indices->{Index[CHA],Index[CHA]}, BlockName->IMUMIX,
276 Description->"Chargino mixing matrix U (imaginary part)"},
277 RVV == { ParameterType->External, ComplexParameter->False, Indices->{Index[CHA],Index[CHA]}, BlockName->VMIX,
278 Description->"Chargino mixing matrix V (real part)"},
279 IVV == { ParameterType->External, ComplexParameter->False, Indices->{Index[CHA],Index[CHA]}, BlockName->IMVMIX,
280 Description->"Chargino mixing matrix V (imaginary part)"},
281 RRn == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->SNUMIX,
282 Description->"Sneutrino mixing matrix (real part)"},
283 IRn == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMSNUMIX,
284 Description->"Sneutrino mixing matrix (imaginary part)"},
285 RRl == { ParameterType->External, ComplexParameter->False, Indices->{Index[SCA],Index[SCA]}, BlockName->SELMIX,
286 Description->"Slepton mixing matrix (real part)"},
287 IRl == { ParameterType->External, ComplexParameter->False, Indices->{Index[SCA],Index[SCA]}, BlockName->IMSELMIX,
288 Description->"Slepton mixing matrix (imaginary part)"},
289 RRu == { ParameterType->External, ComplexParameter->False, Indices->{Index[SCA],Index[SCA]}, BlockName->USQMIX,
290 Description->"Up squark mixing matrix (real part)"},
291 IRu == { ParameterType->External, ComplexParameter->False, Indices->{Index[SCA],Index[SCA]}, BlockName->IMUSQMIX,
292 Description->"Up squark mixing matrix (imaginary part)"},
293 RRd == { ParameterType->External, ComplexParameter->False, Indices->{Index[SCA],Index[SCA]}, BlockName->DSQMIX,
294 Description->"Down squark mixing matrix (real part)"},
295 IRd == { ParameterType->External, ComplexParameter->False, Indices->{Index[SCA],Index[SCA]}, BlockName->IMDSQMIX,
296 Description->"Down squark mixing matrix (imaginary part)"},
297 alp == { TeX->\[Alpha], ParameterType->External, ComplexParameter->False, BlockName->FRALPHA, Description-> "Neutral Higgses mixing angle"},
298
299(* Mixing: internal parameters *)
300 cw == { TeX->Subscript[c,w], ParameterType->Internal, ComplexParameter->False, Value->MW/MZ, Description->"Cosine of the weak angle"},
301 sw == { TeX->Subscript[s,w], ParameterType->Internal, ComplexParameter->False, Value->Sqrt[1-cw^2], Description->"Sine of the weak angle"},
302 PMNS== { TeX->Superscript[U,pmns], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, Unitary->True,
303 If[$MNSDiag, Definitions:>{PMNS[i_,j_]:>0 /;(i!=j), PMNS[i_,j_]:>1/;(i==j)}, Value->{PMNS[i_,j_]:>RMNS[i,j]+I*IMNS[i,j]}],
304 Description-> "Neutrino PMNS mixing matrix"},
305 CKM == { TeX->Superscript[V,ckm], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, Unitary->True,
306 If[$CKMDiag, Definitions:>{CKM[i_,j_]:>0 /;(i!=j), CKM[i_,j_]:>1/;(i==j)}, Value->{CKM[i_,j_]:>RCKM[i,j]+I*ICKM[i,j]}],
307 Description-> "CKM mixing matrix"},
308 NN == { TeX->N, ParameterType->Internal, ComplexParameter->True, Indices->{Index[NEU],Index[NEU]}, Unitary->True,
309 Value->{NN[i_,j_]:>RNN[i,j]+I*INN[i,j]}, Description-> "Neutralino mixing matrix"},
310 UU == { TeX->U, ParameterType->Internal, ComplexParameter->True, Indices->{Index[CHA],Index[CHA]}, Unitary->True,
311 Value->{UU[i_,j_]:>RUU[i,j]+I*IUU[i,j]}, Description-> "Chargino mixing matrix U"},
312 VV == { TeX->V, ParameterType->Internal, ComplexParameter->True, Indices->{Index[CHA],Index[CHA]}, Unitary->True,
313 Value->{VV[i_,j_]:>RVV[i,j]+I*IVV[i,j]}, Description-> "Chargino mixing matrix V"},
314 Rl == { TeX->Superscript[R,l], ParameterType->Internal, ComplexParameter->True, Indices->{Index[SCA],Index[SCA]}, Unitary->True,
315 Value->{Rl[i_,j_]:>RRl[i,j]+I*IRl[i,j]}, Description-> "Slepton mixing matrix"},
316 Rn == { TeX->Superscript[R,n], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, Unitary->True,
317 Value->{Rn[i_,j_]:>RRn[i,j]+I*IRn[i,j]}, Description-> "Sneutrino mixing matrix"},
318 Ru == { TeX->Superscript[R,u], ParameterType->Internal, ComplexParameter->True, Indices->{Index[SCA],Index[SCA]}, Unitary->True,
319 Value->{Ru[i_,j_]:>RRu[i,j]+I*IRu[i,j]}, Description-> "Up squark mixing matrix"},
320 Rd == { TeX->Superscript[R,d], ParameterType->Internal, ComplexParameter->True, Indices->{Index[SCA],Index[SCA]}, Unitary->True,
321 Value->{Rd[i_,j_]:>RRd[i,j]+I*IRd[i,j]}, Description-> "Down squark mixing matrix"},
322
323(* Left and right parts of the sfermion mixing matrices *)
324 RlL == { TeX->Superscript[RL,l], ParameterType-> Internal, ComplexParameter->True, Indices->{Index[SCA],Index[GEN]}, Unitary->False,
325 Definitions->{RlL[i_,j_]:>Rl[i,j]/;NumericQ[j]}, Description-> "Slepton mixing matrix - first three columns"},
326 RlR == { TeX->Superscript[RR,l], ParameterType-> Internal, ComplexParameter->True, Indices->{Index[SCA],Index[GEN]}, Unitary->False,
327 Definitions->{RlR[i_,j_]:>Rl[i,j+3]/;NumericQ[j]},Description-> "Slepton mixing matrix - last three columns"},
328 RuL == { TeX->Superscript[RL,u], ParameterType-> Internal, ComplexParameter->True, Indices->{Index[SCA],Index[GEN]}, Unitary->False,
329 Definitions->{RuL[i_,j_]:>Ru[i,j]/;NumericQ[j]}, Description-> "Up squark mixing matrix - first three columns"},
330 RuR == { TeX->Superscript[RR,u], ParameterType-> Internal, ComplexParameter->True, Indices->{Index[SCA],Index[GEN]}, Unitary->False,
331 Definitions->{RuR[i_,j_]:>Ru[i,j+3]/;NumericQ[j]},Description-> "Up squark mixing matrix - last three columns"},
332 RdL == { TeX->Superscript[RL,d], ParameterType-> Internal, ComplexParameter->True, Indices->{Index[SCA],Index[GEN]}, Unitary->False,
333 Definitions->{RdL[i_,j_]:>Rd[i,j]/;NumericQ[j]}, Description-> "Down squark mixing matrix - first three columns"},
334 RdR == { TeX->Superscript[RR,d], ParameterType-> Internal, ComplexParameter->True, Indices->{Index[SCA],Index[GEN]}, Unitary->False,
335 Definitions->{RdR[i_,j_]:>Rd[i,j+3]/;NumericQ[j]},Description-> "Down squark mixing matrix - last three columns"},
336
337(* Couplings constants: external parameters *)
338 aEWM1 == { TeX->Subsuperscript[\[Alpha],w,-1], ParameterType->External, ComplexParameter->False, BlockName->SMINPUTS, OrderBlock->1, InteractionOrder->{QED,-2},
339 Description->"Inverse of the EW coupling constant at the Z pole"},
340 aS == { TeX->Subscript[\[Alpha],s], ParameterType->External, ComplexParameter->False, BlockName->SMINPUTS, OrderBlock->3, InteractionOrder->{QCD, 2},
341 Description->"Strong coupling constant at the Z pole."},
342
343(* Couplings constants: internal parameters *)
344 ee == { TeX->e, ParameterType->Internal, ComplexParameter->False, Value->Sqrt[4 Pi / aEWM1], InteractionOrder->{QED,1}, Description->"Electric coupling constant"},
345 gs == { TeX->Subscript[g,s], ParameterType->Internal, ComplexParameter->False, Value->Sqrt[4 Pi aS], InteractionOrder->{QCD,1}, ParameterName->G, Description->"Strong coupling constant"},
346 gp == { TeX->g', ParameterType->Internal, ComplexParameter->False, Definitions-> {gp->ee/cw}, InteractionOrder->{QED,1}, Description->"Hypercharge coupling constant at the Z pole"},
347 gw == { TeX->Subscript[g,w], ParameterType->Internal, ComplexParameter->False, Definitions-> {gw->ee/sw}, InteractionOrder->{QED,1}, Description->"Weak coupling constant at the Z pole"},
348 (* Add gd coupling definition *)
349 gd == { TeX->Subscript[g,d], ParameterType->External, ComplexParameter->False, Value -> 0.001, InteractionOrder->{NP, 1}, Description->"U1D coupling"},
350
351(* Higgs sector: external parameters *)
352 tb == { TeX->Subscript[t,b], ParameterType->External, ComplexParameter->False, BlockName->HMIX, OrderBlock->2, Description->"Ratio of the two Higgs vevs"},
353
354(* Higgs sector: internal parameters *)
355 beta == { TeX->\[Beta], ParameterType->Internal, ComplexParameter->False, Value->ArcTan[tb], Description->"Arctan of the ratio of the two Higgs vevs"},
356 vev == { TeX->v, ParameterType->Internal, ComplexParameter->False, Value->2*MZ*sw*cw/ee, InteractionOrder->{QED,-1},
357 Description->"Higgs vacuum expectation value"},
358 vd == { TeX->Subscript[v,d], ParameterType->Internal, ComplexParameter->False, Value->vev*Cos[beta], InteractionOrder->{QED,-1},
359 Description->"Down-type Higgs vacuum expectation value"},
360 vu == { TeX->Subscript[v,u], ParameterType->Internal, ComplexParameter->False, Value->vev*Sin[beta], InteractionOrder->{QED,-1},
361 Description->"Up-type Higgs vacuum expectation value"},
362
363(* Superpotential: external parameters *)
364 Ryu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->YU,
365 Description->"Up-type quark Yukawa matrix (real part)"},
366 Iyu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMYU,
367 Description->"Up-type quark Yukawa matrix (imaginary part)"},
368 Ryd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->YD,
369 Description->"Down-type quark Yukawa matrix (real part)"},
370 Iyd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMYD,
371 Description->"Down-type quark Yukawa matrix (imaginary part)"},
372 Rye == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->YE,
373 Description->"Charged lepton Yukawa matrix (real part)"},
374 Iye == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMYE,
375 Description->"Charged lepton Yukawa matrix (imaginary part)"},
376 RMUH == { ParameterType->External, ComplexParameter->False, BlockName->HMIX, OrderBlock->1, Description->"Off-diagonal Higgs mixing parameter (real part)"},
377 IMUH == { ParameterType->External, ComplexParameter->False, BlockName->IMHMIX, OrderBlock->1, Description->"Off-diagonal Higgs mixing parameter (imaginary part)"},
378
379(* Superpotential: internal parameters *)
380 yu == { TeX->Superscript[y,u], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
381 Definitions:>{yu[i_,j_]:>0 /;(i!=j)}, Value->{yu[i_,j_]:>If[i==j,Ryu[i,j]+I*Iyu[i,j]]}, InteractionOrder->{QED,1}, Description-> "Up-type quark Yukawa matrix"},
382 yd == { TeX->Superscript[y,d], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
383 Definitions:>{yd[i_,j_]:>0 /;(i!=j)}, Value->{yd[i_,j_]:>If[i==j,Ryd[i,j]+I*Iyd[i,j]]}, InteractionOrder->{QED,1}, Description-> "Down-type quark Yukawa matrix"},
384 ye == { TeX->Superscript[y,e], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
385 Definitions:>{ye[i_,j_]:>0 /;(i!=j)}, Value->{ye[i_,j_]:>If[i==j,Rye[i,j]+I*Iye[i,j]]}, InteractionOrder->{QED,1}, Description-> "Charged lepton Yukawa matrix"},
386 MUH == { TeX->\[Mu], ParameterType->Internal, ComplexParameter->True, Value->RMUH+I*IMUH, Description->"Off diagonal Higgs mixing parameter"},
387
388(* Soft terms: external parameters *)
389 RMx1 == { ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->1, Description->"Bino mass (real part)"},
390 IMx1 == { ParameterType->External, ComplexParameter->False, BlockName->IMMSOFT, OrderBlock->1, Description->"Bino mass (imaginary part)"},
391 RMx2 == { ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->2, Description->"Wino mass (real part)"},
392 IMx2 == { ParameterType->External, ComplexParameter->False, BlockName->IMMSOFT, OrderBlock->2, Description->"Wino mass (imaginary part)"},
393 RMx3 == { ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->3, Description->"Gluino mass (real part)"},
394 IMx3 == { ParameterType->External, ComplexParameter->False, BlockName->IMMSOFT, OrderBlock->3, Description->"Gluino mass (imaginary part)"},
395 mHu2 == { TeX->Subsuperscript[m,Subscript[H,u],2], ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->22,
396 Description->"Up-type Higgs squared mass"},
397 mHd2 == { TeX->Subsuperscript[m,Subscript[H,d],2], ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->21,
398 Description->"Down-type Higgs squared mass"},
399 MA2 == { TeX->Subsuperscript[m,A,2], ParameterType->External, ComplexParameter->False, BlockName->HMIX, OrderBlock->4,
400 Description->"Pseudoscalar Higgs squared mass"},
401 RmL2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSL2,
402 Description->"Left-handed slepton squared mass matrix (real part)"},
403 ImL2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSL2,
404 Description->"Left-handed slepton squared mass matrix (imaginary part)"},
405 RmE2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSE2,
406 Description->"Right-handed slepton squared mass matrix (real part)"},
407 ImE2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSE2,
408 Description->"Right-handed slepton squared mass matrix (imaginary part)"},
409 RmQ2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSQ2,
410 Description->"Left-handed squark squared mass matrix (real part)"},
411 ImQ2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSQ2,
412 Description->"Left-handed squark squared mass matrix (imaginary part)"},
413 RmU2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSU2,
414 Description->"Right-handed up-type squark squared mass matrix (real part)"},
415 ImU2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSU2,
416 Description->"Right-handed up-type squark squared mass matrix (imaginary part)"},
417 RmD2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSD2,
418 Description->"Right-handed down-type squark squared mass matrix (real part)"},
419 ImD2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSD2,
420 Description->"Right-handed down-type squark squared mass matrix (imaginary part)"},
421 Rte == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->TE,
422 Description->"Charged slepton trilinear coupling (real part)"},
423 Ite == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMTE,
424 Description->"Charged slepton trilinear coupling (imaginary part)"},
425 Rtu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->TU,
426 Description->"Up-type squark trilinear coupling (real part)"},
427 Itu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMTU,
428 Description->"Up-type squark trilinear coupling (imaginary part)"},
429 Rtd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->TD,
430 Description->"Down-type squark trilinear coupling (real part)"},
431 Itd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMTD,
432 Description->"Down-type squark trilinear coupling (imaginary part)"},
433
434(* Soft terms: internal parameters *)
435 Mx1 == { TeX->Subscript[M,1], ParameterType->Internal, ComplexParameter->True, Value->RMx1+I*IMx1, Description->"Bino mass"},
436 Mx2 == { TeX->Subscript[M,2], ParameterType->Internal, ComplexParameter->True, Value->RMx2+I*IMx2, Description->"Wino mass"},
437 Mx3 == { TeX->Subscript[M,3], ParameterType->Internal, ComplexParameter->True, Value->RMx3+I*IMx3, Description->"Gluino mass"},
438 bb == { TeX->b, ParameterType->Internal, ComplexParameter->True, Value->(mHu2-mHd2)*Tan[2*alp]/2 - MZ^2*(Cos[2*beta]*Tan[2*alp] + Sin[2*beta]/2),
439 Description->"Higgs bilinear soft term"},
440 mL2 == { TeX->Subsuperscript[m,OverTilde[L],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
441 Value->{mL2[i_,j_]:>RmL2[i,j]+I*ImL2[i,j]}, Description-> "Left-handed slepton squared mass matrix"},
442 mE2 == { TeX->Subsuperscript[m,OverTilde[E],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
443 Value->{mE2[i_,j_]:>RmE2[i,j]+I*ImE2[i,j]}, Description-> "Right-handed slepton squared mass matrix"},
444 mQ2 == { TeX->Subsuperscript[m,OverTilde[Q],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
445 Value->{mQ2[i_,j_]:>RmQ2[i,j]+I*ImQ2[i,j]}, Description-> "Left-handed squark squared mass matrix"},
446 mU2 == { TeX->Subsuperscript[m,OverTilde[U],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
447 Value->{mU2[i_,j_]:>RmU2[i,j]+I*ImU2[i,j]}, Description-> "Right-handed up-type squark squared mass matrix"},
448 mD2 == { TeX->Subsuperscript[m,OverTilde[D],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
449 Value->{mD2[i_,j_]:>RmD2[i,j]+I*ImD2[i,j]}, Description-> "Right-handed down-type squark squared mass matrix"},
450 te == { TeX->Subscript[T,e], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, InteractionOrder->{QED,1},
451 Value->{te[i_,j_]:>Rte[i,j]+I*Ite[i,j]}, Description-> "Charged slepton trilinear coupling"},
452 tu == { TeX->Subscript[T,u], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, InteractionOrder->{QED,1},
453 Value->{tu[i_,j_]:>Rtu[i,j]+I*Itu[i,j]}, Description-> "Up-type squark trilinear coupling"},
454 td == { TeX->Subscript[T,d], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, InteractionOrder->{QED,1},
455 Value->{td[i_,j_]:>Rtd[i,j]+I*Itd[i,j]}, Description-> "Down-type squark trilinear coupling"}
456};
457
458(* ************************** *)
459(* **** Diracification **** *)
460(* ************************** *)
461ToDirac[exp_]:= Module[{tmp=Expand[exp],cnt=0,prg1=0,prg2=0,prgo1=0,prgo2=0,tot},
462 Colourb=Colour;
463
464 tmp = If[Head[tmp]===Plus,List@@tmp,List[tmp]]/.Tb[a_,i_,j_]->-T[a,j,i];
465
466 tmp = OptimizeIndex[#] &/@ tmp;
467 tot=Length[tmp];
468 Print["Flavor expansion: ", ProgressIndicator[Dynamic[prg1]]];
469 tmp = Module[{}, cnt++; prg1=cnt/tot;
470 Expand[(ExpandIndices[#, FlavorExpand->{SU2W, SU2D}] /. {
471 gp->ee/cw,
472 gw->ee/sw,
473 cw^n_?(Mod[#,2]===0&)->(1 - sw^2)^(n/2),
474 cw^n_?(Mod[#, 2]===1 &)->(1 - sw^2)^((n - 1)/2) cw,
475 Power[PauliSigma[a_,i_?(NumericQ[#] &),j_?(NumericQ[#] &)],2]->PauliSigma[1,i,j]^2 + PauliSigma[3,i,j]^2 + PauliSigma[2,i,j]^2,
476 PauliSigma[a_,i_?(NumericQ[#] &),j_?(NumericQ[#] &)] PauliSigma[a_,k_?(NumericQ[#] &),l_?(NumericQ[#] &)]->
477 PauliSigma[1,i,j] PauliSigma[1,k,l] + PauliSigma[2,i,j] PauliSigma[2,k,l] + PauliSigma[3,i,j] PauliSigma[3,k,l]})]] &/@ tmp;
478 tmp = Plus@@tmp//.{cw^n_?(Mod[#,2]===0&)->(1 - sw^2)^(n/2), cw^n_?(Mod[#, 2]===1 &)->(1 - sw^2)^((n - 1)/2) cw};
479
480 cnt=0; tot=Length[tmp];
481 Print["Opt 1: ",ProgressIndicator[Dynamic[prgo1]]];
482 tmp = Module[{}, cnt++; prgo1=cnt/tot;OptimizeIndex[#]] &/@ (List@@tmp);
483 Print["Weyl2Dirac: ",ProgressIndicator[Dynamic[prg2]]];cnt=0;
484 tmp = Module[{}, cnt++; prg2=cnt/tot; WeylToDirac[#]] &/@ tmp;
485 Print["Opt2: ",ProgressIndicator[Dynamic[prgo2]]];cnt=0;
486 tmp = Module[{}, cnt++; prgo2=cnt/tot;OptimizeIndex[#]] &/@ tmp;
487 Clear[Colourb];
488Expand[Plus@@tmp]];
489
490(* ************************** *)
491(* ***** Lagrangian ***** *)
492(* ************************** *)
493(* LVector *)
494LVector := Module[{}, Plus@@(Module[{tmp}, tmp = SF2Components[#]; Expand[tmp[[2, 5]] + tmp[[2, 6]]]] &/@ (List @@ VSFKineticTerms[]))];
495
496(* LChiral *)
497LChiral := Plus@@( Theta2Thetabar2Component[#] &/@ (List @@ CSFKineticTerms[]) );
498
499(* Superpotential *)
500SPot:= Module[{ff1,ff2,ff3,cc1},
501 yu[ff1,ff2] UR[ff1,cc1] (QL[1,ff2,cc1] HU[2] - QL[2,ff2,cc1] HU[1]) -
502 yd[ff1,ff3] Conjugate[CKM[ff2,ff3]] DR[ff1,cc1] (QL[1,ff2,cc1] HD[2] - QL[2,ff2,cc1] HD[1]) -
503 ye[ff1,ff2] ER[ff1] (LL[1,ff2] HD[2] - LL[2,ff2] HD[1]) +
504 MUH (HU[1] HD[2] - HU[2] HD[1])];
505LSuperW:= ( Plus@@ (Module[{tmp},tmp=SF2Components[#];tmp[[2,5]]+tmp[[2,6]]] &/@ (List @@ Expand[SPot+HC[SPot]])) )/.Conjugate[CKM[a_, b_]]*CKM[a_, c_]->IndexDelta[b, c];
506
507(* Soft SUSY-breaking Lagrangian *)
508LSoft := Module[{Mino, MSca, Tri, Bil},
509 (* Gaugino mass terms *)
510 Mino:=Module[{s,gl}, Mx1*bow[s].bow[s] + Mx2*wow[s,gl].wow[s,gl] + Mx3*goww[s,gl].goww[s,gl]];
511 (* Scalar mass terms *)
512 MSca:=Module[{ii,ff1,ff2,ff3,ff4,cc1},
513 - mHu2*HC[hus[ii]]*hus[ii] - mHd2*HC[hds[ii]]*hds[ii] -
514 mL2[ff1,ff2]*HC[LLs[ii,ff1]]*LLs[ii,ff2] - mE2[ff1,ff2]*HC[ERs[ff1]]*ERs[ff2] -
515 CKM[ff1,ff2]*mQ2[ff2,ff3]*Conjugate[CKM[ff4,ff3]]*HC[QLs[ii,ff1,cc1]]*QLs[ii,ff4,cc1] -
516 mU2[ff1,ff2]*HC[URs[ff1,cc1]]*URs[ff2,cc1] - mD2[ff1,ff2]*HC[DRs[ff1,cc1]]*DRs[ff2,cc1] ];
517 (* Trilinear couplings *)
518 Tri:=-tu[ff1,ff2]*URs[ff1,cc1] (QLs[1,ff2,cc1] hus[2] - QLs[2,ff2,cc1] hus[1]) +
519 Conjugate[CKM[ff3,ff2]]*td[ff1,ff2]*DRs[ff1,cc1] (QLs[1,ff3,cc1] hds[2] - QLs[2,ff3,cc1] hds[1]) +
520 te[ff1,ff2]*ERs[ff1] (LLs[1,ff2] hds[2] - LLs[2,ff2] hds[1]) ;
521 (* Bilinear couplings *)
522 Bil:=-bb*(hus[1] hds[2] - hus[2] hds[1]);
523 (* Everything together *)
524 (Mino+HC[Mino])/2 + MSca + Tri + HC[Tri] + Bil + HC[Bil]];
525
526(* Ghost Lagrangian and gauge fixing terms *)
527LFeynmanGFix := Module[{VectorizeU,VectorizeD, Phiu,Phid,Phiu0,Phid0, phid1,phid2,phiu1,phiu2, GF1,GF2,GF3,LGF, nrules, kk,ll, LGh1,LGh2,LGh3,LGhS,LGh, genu,gend, gh,ghbar},
528 (* Expression the doublets in the nu/nd basis *)
529 VectorizeU[{a_, b_}] := Simplify[{Sqrt[2] Re[Expand[a]], Sqrt[2] Im[Expand[a]], Sqrt[2] Re[Expand[b]], Sqrt[2] Im[Expand[b]]} /. {Im[_]->0, Re[num_]->num}];
530 VectorizeD[{a_, b_}] := Simplify[{Sqrt[2] Re[Expand[a]], Sqrt[2] Im[Expand[a]], Sqrt[2] Re[Expand[b]], Sqrt[2] Im[Expand[b]]} /. {Im[_]->0, Re[num_]->num}];
531
532 (* Higgs doublets *)
533 Phiu = Expand[ {(phiu1 + I phiu2)/Sqrt[2], (Cos[alp]*h0+Sin[alp]*H0 + I*Cos[beta]*A0+I*Sin[beta]*G0)/Sqrt[2]} ];
534 Phid = Expand[ {(-Sin[alp]*h0+Cos[alp]*H0 + I*Sin[beta]*A0-I*Cos[beta]*G0)/Sqrt[2], (phid1 + I phid2)/Sqrt[2]} ];
535 (* vevs *)
536 Phiu0 = {0, vu/Sqrt[2]};
537 Phid0 = {vd/Sqrt[2], 0};
538 (* Back to the physical Higgses and Goldstones *)
539 nrules := {
540 phid1 -> (-Cos[beta]*GPbar - Cos[beta]*GP + Sin[beta]*Hbar + Sin[beta]*H)/Sqrt[2],
541 phid2 -> (-Cos[beta]*GPbar + Cos[beta]*GP + Sin[beta]*Hbar - Sin[beta]*H)/(I Sqrt[2]),
542 phiu1 -> ( Sin[beta]*GP + Sin[beta]*GPbar + Cos[beta]*H + Cos[beta]*Hbar)/Sqrt[2],
543 phiu2 -> (Sin[beta]*GP - Sin[beta]*GPbar + Cos[beta]*H - Cos[beta]*Hbar)/(I Sqrt[2])};
544
545 (* Gauge-fixing functions *)
546 GF1 := Module[{mu}, del[B[mu] , mu] - gp VectorizeU[-I/2 Phiu0].VectorizeU[Phiu] - gp VectorizeD[I/2 Phid0].VectorizeD[Phid] ];
547 GF2[k_] := Module[{mu}, del[Wi[mu,k], mu] - gw VectorizeU[-I/2 PauliSigma[k].Phiu0].VectorizeU[Phiu] - gw VectorizeD[-I/2 PauliSigma[k].Phid0].VectorizeD[Phid] ];
548 GF3[a_] := Module[{mu}, del[G[mu,a] , mu] ];
549 (* Gauge-fixing Lagrangian *)
550 LGF = Expand[-1/2*(GF1 HC[GF1] + Sum[GF2[kk] HC[GF2[kk]], {kk, 1, 3}]) /.nrules /. {HC[a_]->a, h0->0, H0->0, A0->0, H->0, Hbar->0}];
551 LGF = OptimizeIndex[Expand[ExpandIndices[LGF, FlavorExpand->SU2W]]];
552
553 (* Ghost Lagrangians *)
554 LGh1 = -ghBbar.del[DC[ghB,mu],mu];
555 LGh2 = -ghWibar[kk].del[DC[ghWi[kk], mu], mu];
556 LGh3 = -ghGbar[kk].del[DC[ghG[kk],mu],mu];
557 genu := {-I/2 gp IdentityMatrix[2], -I/2 gw PauliSigma[1], -I/2 gw PauliSigma[2], -I/2 gw PauliSigma[3]};
558 gend := { I/2 gp IdentityMatrix[2], -I/2 gw PauliSigma[1], -I/2 gw PauliSigma[2], -I/2 gw PauliSigma[3]};
559 gh = {ghB, ghWi[1], ghWi[2], ghWi[3]};
560 ghbar = {ghBbar, ghWibar[1], ghWibar[2], ghWibar[3]};
561 LGhS = Sum[
562 -ghbar[[kk]].gh[[ll]] (VectorizeU[genu[[kk]].Phiu0].VectorizeU[genu[[ll]].(Phiu+Phiu0)] + VectorizeD[gend[[kk]].Phid0].VectorizeD[gend[[ll]].(Phid+Phid0)]),
563 {kk,1,4},{ll,1,4}];
564 LGh = ExpandIndices[LGh1+LGh2+LGh3+LGhS, FlavorExpand->SU2W] /.nrules;
565LGF+LGh];
566
567(* Add new physics n1-nD-ad *)
568(* LN1NDAD := gd*(neu1bar.Ga[mu].Ga[5].neuD)*AD[mu]; *)
569(* Option2: use imaginary number i *)
570LN1NDAD := I*gd*(neu1bar.Ga[mu].neuD)*AD[mu];
571(* Add new vertex ad-mu-mu *)
572LADMuMu := gd*(mbar.Ga[mu].m)*AD[mu];
573
574(* Collecting all the pieces together *)
575Lag := ToDirac[SolveEqMotionF[SolveEqMotionD[LVector+LChiral+LSuperW+LSoft]]] + LFeynmanGFix + LN1NDAD + LADMuMu;