1 | (* ********************************************************* *)
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2 | (* ***** ***** *)
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3 | (* ***** FeynRules model file: the MSSM ***** *)
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4 | (* ***** Author: A. Allou, B. Fuks ***** *)
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5 | (* ***** ***** *)
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6 | (* ********************************************************* *)
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7 |
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8 | (* ************************** *)
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9 | (* ***** Information ***** *)
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10 | (* ************************** *)
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11 | M$ModelName = "MSSM_mix";
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12 | M$Information = { Authors->{"Benjamin Fuks"}, Emails->{"fuks@cern.ch"}, Institutions->{"IPHC Strasbourg / University of Strasbourg"},
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13 | Date->"26.10.12", Version->"1.3.13",
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14 | References->{"C. Duhr, B. Fuks, CPC 182 (2011) 2404-2462, arXiv:1102.4191 [hep-ph]"},
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15 | URLs->{"http://feynrules.irmp.ucl.ac.be/view/Main/MSSM"} };
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16 |
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17 | (* v1.3.6: Renaming of SP to SPot (variable name clashing). Thanks to Kentarou Mawatari. *)
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18 | (* v1.3.7: Small bug in the definition of the CKM matrix. Thanks Antonio Mariano. *)
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19 | (* v1.3.8: Interaction orders added. *)
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20 | (* v1.3.9: Wrong sign for the gaugino soft masses. *)
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21 | (* v1.3.10: Inversion of two SLHA counters for the Higgs soft masses. Thanks to Sho Iwamoto. *)
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22 | (* v1.3.11: Adding the Feynman gauge flag necessary for the UFO. *)
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23 | (* v1.3.12: Preamble updated. *)
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24 | (* v1.3.13: Definition of bb modified, improving Lagrangian checks. Thanks to Sho Iwamoto. *)
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25 | (* v1.4.0: Including the mixings. *)
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26 |
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27 | (* ************************** *)
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28 | (* ***** Flags ***** *)
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29 | (* ************************** *)
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30 | $CKMDiag = False; (* CKM = identity or not *)
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31 | $MNSDiag = True; (* PMNS = identity or not *)
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32 | FeynmanGauge = True;
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33 |
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34 |
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35 | (* ************************************************ *)
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36 | (* ***** Mass matrix diagonalization ***** *)
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37 | (* ************************************************ *)
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38 | M$vevs = { {hus[2],vu}, {hds[1],vd} };
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39 |
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40 | M$MixingsDescription = {
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41 | Mix["1a"] == { MassBasis -> {A, Z}, GaugeBasis -> {B, Wi[3]}, MixingMatrix -> UG, BlockName -> WEAKMIX },
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42 | Mix["1b"] == { MassBasis -> {W, Wbar}, GaugeBasis -> {Wi[1], Wi[2]}, Value -> {{1/Sqrt[2], -I/Sqrt[2]}, {1/Sqrt[2], I/Sqrt[2]}} },
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43 | Mix["2a"] == { MassBasis -> { {h0, H0}, {A0, G0} }, GaugeBasis -> { hds[1], hus[2] }, BlockName -> {HMIX, AMIX}, MixingMatrix -> {US, UP} },
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44 | Mix["2b"] == { MassBasis -> {H, GP}, GaugeBasis -> { hdsbar[2], hus[1] }, BlockName -> HCMIX, MixingMatrix -> UC },
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45 | Mix["3a"] == { MassBasis -> {boww}, GaugeBasis -> {bow}, Value ->{{I}}},
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46 | Mix["3b"] == { MassBasis -> {wow0,wowp,wowm}, GaugeBasis -> {wow[3],wow[1],wow[2]}, Value ->{{I,0,0}, {0,I/Sqrt[2],1/Sqrt[2]}, {0,I/Sqrt[2],-1/Sqrt[2]}} },
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47 | Mix["3c"] == { MassBasis -> {neuw[1], neuw[2], neuw[3], neuw[4]}, GaugeBasis -> {boww, wow0, hdw[1], huw[2]}, BlockName -> NMIX, MixingMatrix -> NN },
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48 | Mix["3d"] == { MassBasis -> {{chmw[1],chmw[2]}, {chpw[1],chpw[2]}}, GaugeBasis -> {{wowm,hdw[2]},{wowp,huw[1]}}, BlockName -> {UMIX,VMIX}, MixingMatrix -> {UU,VV} },
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49 | Mix["5"] == { MassBasis -> {goww}, GaugeBasis -> {gow}, Value ->{{I}}},
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50 | Mix["6a"] == { MassBasis -> {ghWp, ghWm}, GaugeBasis -> {ghWi[1], ghWi[2]}, Value -> {{1/Sqrt[2], -I/Sqrt[2]}, {1/Sqrt[2], I/Sqrt[2]}} },
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51 | Mix["6b"] == { MassBasis -> {ghA, ghZ}, GaugeBasis -> {ghB, ghWi[3]}, MixingMatrix -> UG, BlockName -> WEAKMIX },
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52 |
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53 | Mix["7a"] == { MassBasis -> {vLw[1],vLw[2],vLw[3]} , GaugeBasis -> {LLw[1,1],LLw[1,2],LLw[1,3]}, MixingMatrix -> MNS},
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54 | Mix["7b"] == { MassBasis -> {eLw[1],eLw[2],eLw[3]} , GaugeBasis -> {LLw[2,1],LLw[2,2],LLw[2,3]}, Value -> {{1,0,0},{0,1,0},{0,0,1}}},
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55 | Mix["7c"] == { MassBasis -> {uLw[1,_],uLw[2,_], uLw[3,_]}, GaugeBasis ->{QLw[1,1,_],QLw[1,2,_],QLw[1,3,_]}, Value -> {{1,0,0},{0,1,0},{0,0,1}} },
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56 |
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57 | Mix["7d"] == { MassBasis -> {dLw[1,_],dLw[2,_], dLw[3,_]}, GaugeBasis -> {QLw[2,1,_],QLw[2,2,_],QLw[2,3,_]}, MixingMatrix -> CKM, Inverse -> True},
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58 | Mix["7e"] == { MassBasis -> {sdL[1,_],sdL[2,_],sdL[3,_]}, GaugeBasis -> {QLs[2,1,_], QLs[2,2,_], QLs[2,3,_]}, MixingMatrix -> CKM, Inverse -> True},
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59 |
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60 | (* CKM/PMNS for sdowns/ sneutrinos *)
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61 | Mix["8a"] == { MassBasis -> {sn[1], sn[2], sn[3]}, GaugeBasis -> {LLs[1,1], LLs[1,2], LLs[1,3]}, MixingMatrix -> Rn, BlockName -> SNUMIX},
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62 | Mix["8b"] == { MassBasis -> {sl[1], sl[2], sl[3],sl[4],sl[5],sl[6]}, GaugeBasis -> {LLs[2,1], LLs[2,2], LLs[2,3],ERsbar[1], ERsbar[2], ERsbar[3]},
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63 | MixingMatrix -> Rl, BlockName -> SELMIX},
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64 | Mix["8c"] == { MassBasis -> {su[1,_],su[2,_],su[3,_],su[4,_],su[5,_],su[6,_]}, GaugeBasis -> {QLs[1,1,_], QLs[1,2,_], QLs[1,3,_], URsbar[1,_],URsbar[2,_],URsbar[3,_]},
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65 | MixingMatrix -> Ru, BlockName -> USQMIX},
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66 | Mix["8d"] == { MassBasis -> {sd[1,_],sd[2,_],sd[3,_],sd[4,_],sd[5,_],sd[6,_]}, GaugeBasis -> {sdL[1,_], sdL[2,_], sdL[3,_],DRsbar[1,_],DRsbar[2,_],DRsbar[3,_]},
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67 | MixingMatrix -> Rd, BlockName -> DSQMIX}
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68 |
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69 |
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70 |
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71 | }
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72 |
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73 | (* ************************** *)
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74 | (* ***** Gauge groups ***** *)
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75 | (* ************************** *)
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76 | M$GaugeGroups = {
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77 | U1Y == { Abelian->True, CouplingConstant->gp, Superfield->BSF, Charge->Y, GUTNormalization->3/5},
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78 | SU2L == { Abelian->False, CouplingConstant->gw, Superfield->WSF,
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79 | StructureConstant->ep, Representations->{Ta,SU2D}, Definitions->{Ta[a__]->PauliSigma[a]/2, ep->Eps}},
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80 | SU3C == { Abelian->False, CouplingConstant->gs, Superfield->GSF,
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81 | StructureConstant->f, Representations->{{T,Colour}, {Tb,Colourb}}, DTerm->dSUN}
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82 | };
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83 |
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84 | (* ************************** *)
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85 | (* *** Interaction orders *** *)
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86 | (* ************************** *)
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87 | M$InteractionOrderHierarchy = { {QCD, 1}, {QED, 2} };
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88 |
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89 |
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90 | (* *********************************** *)
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91 | (* ***** Representation mappings ***** *)
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92 | (* *********************************** *)
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93 | FR$ReprMap = { {Colour,Colourb} };
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94 |
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95 | (* ************************** *)
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96 | (* ***** Indices ***** *)
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97 | (* ************************** *)
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98 | IndexRange[Index[SU2W]] = Unfold[Range[3]]; IndexStyle[SU2W,j]; IndexRange[Index[SU2D]] = Unfold[Range[2]]; IndexStyle[SU2D,k];
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99 | IndexRange[Index[Gluon ]] = NoUnfold[Range[8]]; IndexStyle[Gluon, a]; IndexRange[Index[Colour ]] = NoUnfold[Range[3]]; IndexStyle[Colour, m];
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100 | IndexRange[Index[Colourb]] = NoUnfold[Range[3]]; IndexStyle[Colourb,m];
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101 | IndexRange[Index[NEU ]] = Range[4]; IndexStyle[NEU, i];
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102 | IndexRange[Index[CHA ]] = Range[2]; IndexStyle[CHA, i];
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103 | IndexRange[Index[GEN ]] = Range[3]; IndexStyle[GEN, f];
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104 | IndexRange[Index[SCA ]] = Range[6]; IndexStyle[SCA, i];
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105 |
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106 |
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107 | (* ************************** *)
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108 | (* ***** Superfields ***** *)
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109 | (* ************************** *)
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110 | M$Superfields = {
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111 | VSF[1] == { ClassName->BSF, GaugeBoson->B, Gaugino->bow},
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112 | VSF[2] == { ClassName->WSF, GaugeBoson->Wi, Gaugino->wow, Indices->{Index[SU2W]}},
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113 | VSF[3] == { ClassName->GSF, GaugeBoson->G, Gaugino->gow, Indices->{Index[Gluon] }},
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114 | CSF[1] == { ClassName->HU, Chirality->Left, Weyl->huw, Scalar->hus, QuantumNumbers->{Y-> 1/2}, Indices->{Index[SU2D]}},
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115 | CSF[2] == { ClassName->HD, Chirality->Left, Weyl->hdw, Scalar->hds, QuantumNumbers->{Y->-1/2}, Indices->{Index[SU2D]}},
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116 | CSF[3] == { ClassName->LL, Chirality->Left, Weyl->LLw, Scalar->LLs, QuantumNumbers->{Y->-1/2}, Indices->{Index[SU2D], Index[GEN]}},
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117 | CSF[4] == { ClassName->ER, Chirality->Left, Weyl->ERw, Scalar->ERs, QuantumNumbers->{Y-> 1}, Indices->{Index[GEN]}},
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118 | CSF[5] == { ClassName->VR, Chirality->Left, Weyl->VRw, Scalar->VRs, Indices->{Index[GEN]}},
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119 | CSF[6] == { ClassName->QL, Chirality->Left, Weyl->QLw, Scalar->QLs, QuantumNumbers->{Y-> 1/6}, Indices->{Index[SU2D], Index[GEN], Index[Colour]}},
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120 | CSF[7] == { ClassName->UR, Chirality->Left, Weyl->URw, Scalar->URs, QuantumNumbers->{Y->-2/3}, Indices->{Index[GEN], Index[Colourb]} },
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121 | CSF[8] == { ClassName->DR, Chirality->Left, Weyl->DRw, Scalar->DRs, QuantumNumbers->{Y-> 1/3}, Indices->{Index[GEN], Index[Colourb]} }
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122 | };
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123 |
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124 | (* ************************** *)
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125 | (* ***** Fields ***** *)
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126 | (* ************************** *)
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127 | M$ClassesDescription = {
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128 | (* Gauge bosons: unphysical vector fields *)
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129 | V[11] == { ClassName->B, Unphysical->True, SelfConjugate->True },
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130 | V[12] == { ClassName->Wi, Unphysical->True, SelfConjugate->True, Indices->{Index[SU2W]}, FlavorIndex->SU2W },
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131 |
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132 | (* Gauge bosons: physical vector fields *)
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133 | V[1] == { ClassName->A, SelfConjugate->True, Mass->0, Width->0, ParticleName->"a",
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134 | PDG->22, PropagatorLabel->"A", PropagatorType->Sine, PropagatorArrow->None},
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135 | V[2] == { ClassName->Z, SelfConjugate->True, Mass->MZ, Width->WZ, ParticleName->"Z",
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136 | PDG->23, PropagatorLabel->"Z", PropagatorType->Sine, PropagatorArrow->None},
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137 | V[3] == { ClassName->W, SelfConjugate->False, Mass->MW, Width->WW, ParticleName->"W+", AntiParticleName->"W-", QuantumNumbers->{Q->1},
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138 | PDG->24, PropagatorLabel->"W", PropagatorType->Sine, PropagatorArrow->Forward},
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139 | V[4] == { ClassName->G, SelfConjugate->True, Indices->{Index[Gluon]}, Mass->0, Width->0, ParticleName->"g",
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140 | PDG->21, PropagatorLabel->"G", PropagatorType->C, PropagatorArrow->None },
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141 |
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142 | (* Gauginos: unphysical Weyls *)
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143 | W[20] == { ClassName->bow, Unphysical->True, Chirality->Left, SelfConjugate->False},
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144 | W[200]== { ClassName->boww,Unphysical->True, Chirality->Left, SelfConjugate->False},
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145 | W[21] == { ClassName->wow, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2W]}, FlavorIndex->SU2W },
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146 | W[210]== { ClassName->wow0,Unphysical->True, Chirality->Left, SelfConjugate->False},
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147 | W[211]== { ClassName->wowp,Unphysical->True, Chirality->Left, SelfConjugate->False},
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148 | W[212]== { ClassName->wowm,Unphysical->True, Chirality->Left, SelfConjugate->False},
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149 | W[22] == { ClassName->gow, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[Gluon]} },
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150 |
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151 | (* Higgsinos: unphysical Weyls *)
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152 | W[23] == { ClassName->huw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y-> 1/2} },
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153 | W[24] == { ClassName->hdw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y->-1/2} },
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154 |
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155 | (* Gauginos/Higgsinos: physical Weyls *)
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156 | W[1] == { ClassName->neuw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[NEU]}, FlavorIndex->NEU },
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157 | W[2] == { ClassName->chpw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[CHA]}, FlavorIndex->CHA, QuantumNumbers->{Q-> 1} } ,
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158 | W[3] == { ClassName->chmw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[CHA]}, FlavorIndex->CHA, QuantumNumbers->{Q->-1} } ,
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159 | W[4] == { ClassName->goww, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[Gluon]} },
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160 |
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161 | (* Gauginos/Higgsinos: physical Diracs *)
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162 | F[1] == { ClassName->neu, SelfConjugate->True, Indices->{Index[NEU]}, FlavorIndex->NEU, WeylComponents->neuw,
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163 | ParticleName->{"n1","n2","n3","n4"},
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164 | ClassMembers->{neu1,neu2,neu3,neu4}, Mass->{Mneu,Mneu1,Mneu2,Mneu3,Mneu4}, Width->{Wneu,Wneu1,Wneu2,Wneu3,Wneu4},
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165 | PDG->{1000022,1000023,1000025,1000035}, PropagatorLabel->{"neu","neu1","neu2","neu3","neu4"}, PropagatorType->Straight, PropagatorArrow->None },
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166 | F[2] == { ClassName->ch, SelfConjugate->False, Indices->{Index[CHA]}, FlavorIndex->CHA, WeylComponents->{chpw,chmwbar},
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167 | ParticleName->{"x1+","x2+"}, AntiParticleName->{"x1-","x2-"}, QuantumNumbers->{Q ->1},
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168 | ClassMembers->{ch1,ch2}, Mass->{Mch,Mch1,Mch2}, Width->{Wch,Wch1,Wch2},
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169 | PDG->{1000024,1000037}, PropagatorLabel->{"ch","ch1","ch2"}, PropagatorType->Straight, PropagatorArrow->Forward },
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170 | F[3] == { ClassName->go, SelfConjugate->True, Indices->{Index[Gluon]}, WeylComponents->goww, Mass->Mgo, Width->Wgo, ParticleName->"go",
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171 | PDG->1000021, PropagatorLabel->"go", PropagatorType->Straight, PropagatorArrow->None },
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172 |
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173 | (* Higgs: unphysical scalars *)
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174 | S[21] == { ClassName->hus, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y-> 1/2} },
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175 | S[22] == { ClassName->hds, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D]}, FlavorIndex->SU2D, QuantumNumbers->{Y->-1/2} },
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176 |
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177 | (* Higgs: physical fields and Goldstones *)
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178 | S[1] == { ClassName->h0, SelfConjugate->True, Mass->MH01, Width->WH01, ParticleName->"h01",
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179 | PDG->25, PropagatorLabel->"h0", PropagatorType->ScalarDash, PropagatorArrow->None},
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180 | S[2] == { ClassName->H0, SelfConjugate->True, Mass->MH02, Width->WH02, ParticleName->"h02",
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181 | PDG->35, PropagatorLabel->"H0", PropagatorType->ScalarDash, PropagatorArrow->None},
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182 | S[3] == { ClassName->A0, SelfConjugate->True, Mass->MA0 , Width->WA0, ParticleName->"A0" ,
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183 | PDG->36, PropagatorLabel->"A0", PropagatorType->ScalarDash, PropagatorArrow->None},
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184 | S[4] == { ClassName->H, SelfConjugate->False, QuantumNumbers->{Q-> 1}, Mass->MH, Width->WH,
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185 | ParticleName->"H+", AntiParticleName->"H-",
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186 | PDG->37, PropagatorLabel->"H", PropagatorType->ScalarDash, PropagatorArrow->Forward},
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187 | S[5] == { ClassName->G0, SelfConjugate->True, Mass->MZ, Width->WG0, Goldstone->Z,
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188 | ParticleName->"G0",
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189 | PDG->250, PropagatorLabel->"G0", PropagatorType->D, PropagatorArrow->None},
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190 | S[6] == { ClassName->GP, SelfConjugate->False, QuantumNumbers->{Q-> 1}, Mass->MW, Width->WGP, Goldstone->W,
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191 | ParticleName->"G+", AntiParticleName->"G-",
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192 | PDG->251, PropagatorLabel->"GP", PropagatorType->D, PropagatorArrow->None },
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193 |
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194 | (* Fermions: unphysical Weyls *)
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195 | W[25] == { ClassName->LLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D],Index[GEN]}, FlavorIndex->SU2D,
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196 | QuantumNumbers->{Y->-1/2} },
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197 | W[26] == { ClassName->QLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[SU2D],Index[GEN],Index[Colour]},FlavorIndex->SU2D,
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198 | QuantumNumbers->{Y->1/6} },
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199 |
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200 | (* Fermions: physical Weyls *)
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201 | W[5] == { ClassName->vLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN },
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202 | W[6] == { ClassName->eLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN },
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203 | W[7] == { ClassName->VRw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN },
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204 | W[8] == { ClassName->ERw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1} },
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205 | W[9] == { ClassName->uLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN },
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206 | W[10]== { ClassName->dLw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN },
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207 | W[11]== { ClassName->URw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y->-2/3} },
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208 | W[12]== { ClassName->DRw, Unphysical->True, Chirality->Left, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1/3} },
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209 |
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210 | (* Fermions: physical Dirac *)
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211 | F[4] == { ClassName->vl, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, WeylComponents->{vLw,VRwbar},
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212 | ParticleName->{"ve","vm","vt"}, AntiParticleName->{"ve~","vm~","vt~"},
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213 | ClassMembers->{ve,vm,vt}, Mass->{Mvl,Mve,Mvm,Mvt}, Width->0,
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214 | PDG->{12,14,16}, PropagatorLabel->{"v","ve","vm","vt"}, PropagatorType->Straight, PropagatorArrow->Forward},
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215 | F[5] == { ClassName->l, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, WeylComponents->{eLw,ERwbar}, QuantumNumbers->{Q->-1},
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216 | ParticleName->{"e-","mu-","tau-"}, AntiParticleName->{"e+","mu+","tau+"},
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217 | ClassMembers->{e,m,ta}, Mass->{Ml,Me,Mm,Mta}, Width->0,
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218 | PDG->{11,13,15}, PropagatorLabel->{"l","e","mu","tau"}, PropagatorType->Straight, PropagatorArrow->Forward},
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219 | F[6] == { ClassName->uq, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN, WeylComponents->{uLw,URwbar}, QuantumNumbers->{Q-> 2/3},
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220 | ParticleName->{"u","c","t"}, AntiParticleName->{"u~","c~","t~"},
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221 | ClassMembers->{u,c,t}, Mass->{Muq,MU,MC,MT}, Width->{Wuq,0,0,WT},
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222 | PDG->{2,4,6}, PropagatorLabel->{"uq","u","c","t"}, PropagatorType->Straight, PropagatorArrow->Forward},
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223 | F[7] == { ClassName->dq, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN, WeylComponents->{dLw,DRwbar}, QuantumNumbers->{Q->-1/3},
|
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224 | ParticleName->{"d","s","b"}, AntiParticleName->{"d~","s~","b~"},
|
---|
225 | ClassMembers->{d,s,b}, Mass->{Mdq,MD,MS,MB}, Width->0,
|
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226 | PDG->{1,3,5}, PropagatorLabel->{"dq","d","s","b"}, PropagatorType->Straight, PropagatorArrow->Forward},
|
---|
227 |
|
---|
228 | (* Sfermion: unphysical scalars *)
|
---|
229 | S[23] == { ClassName->LLs, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D], Index[GEN]}, FlavorIndex->SU2D, QuantumNumbers->{Y->-1/2} },
|
---|
230 | S[24] == { ClassName->ERs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1} },
|
---|
231 | S[25] == { ClassName->VRs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN,
|
---|
232 | Definitions->{ VRs[_] -> 0 } },
|
---|
233 | S[26] == { ClassName->QLs, Unphysical->True, SelfConjugate->False, Indices->{Index[SU2D], Index[GEN],Index[Colour]}, FlavorIndex->SU2D, QuantumNumbers->{Y->1/6} },
|
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234 | S[261]== { ClassName->sdL, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN],Index[Colour]}, FlavorIndex->GEN, QuantumNumbers->{Y->1/6} },
|
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235 | S[27] == { ClassName->URs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y->-2/3} },
|
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236 | S[28] == { ClassName->DRs, Unphysical->True, SelfConjugate->False, Indices->{Index[GEN],Index[Colourb]}, FlavorIndex->GEN, QuantumNumbers->{Y-> 1/3} },
|
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237 |
|
---|
238 | (* Sfermion: physical scalars *)
|
---|
239 | S[7] == { ClassName->sn, SelfConjugate->False, Indices->{Index[GEN]}, FlavorIndex->GEN,
|
---|
240 | ParticleName->{"sv1","sv2","sv3"}, AntiParticleName->{"sv1~","sv2~","sv3~"},
|
---|
241 | ClassMembers-> {sn1, sn2, sn3}, Mass->{Msn,Msn1,Msn2,Msn3}, Width->{Wsn,Wsn1,Wsn2,Wsn3},
|
---|
242 | PDG->{1000012,1000014,1000016}, PropagatorLabel->{"sn","sn1","sn2","sn3"}, PropagatorType->ScalarDash, PropagatorArrow->Forward },
|
---|
243 | S[8] == { ClassName->sl, SelfConjugate->False, Indices->{Index[SCA]}, FlavorIndex->SCA, QuantumNumbers->{Q->-1},
|
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244 | ParticleName->{"sl1-","sl2-","sl3-","sl4-","sl5-","sl6-"}, AntiParticleName->{"sl1+","sl2+","sl3+","sl4+","sl5+","sl6+"},
|
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245 | ClassMembers->{sl1,sl2,sl3,sl4,sl5,sl6}, Mass->{Msl,Msl1,Msl2,Msl3,Msl4,Msl5,Msl6}, Width->{Wsl,Wsl1,Wsl2,Wsl3,Wsl4,Wsl5,Wsl6},
|
---|
246 | PDG->{1000011,1000013,1000015,2000011,2000013,2000015}, PropagatorLabel->{"sl","sl1","sl2","sl3","sl4","sl5","sl6"},
|
---|
247 | PropagatorType->ScalarDash, PropagatorArrow->Forward},
|
---|
248 | S[9] == { ClassName->su, SelfConjugate->False, Indices->{Index[SCA],Index[Colour]}, FlavorIndex->SCA, QuantumNumbers->{Q-> 2/3},
|
---|
249 | ParticleName->{"su1","su2","su3","su4","su5","su6"}, AntiParticleName->{"su1~","su2~","su3~","su4~","su5~","su6~"},
|
---|
250 | ClassMembers->{su1,su2,su3,su4,su5,su6}, Mass->{Msu,Msu1,Msu2,Msu3,Msu4,Msu5,Msu6}, Width->{Wsu,Wsu1,Wsu2,Wsu3,Wsu4,Wsu5,Wsu6},
|
---|
251 | PDG->{1000002,1000004,1000006,2000002,2000004,2000006}, PropagatorLabel->{"su","su1","su2","su3","su4","su5","su6"},
|
---|
252 | PropagatorType->ScalarDash, PropagatorArrow->Forward},
|
---|
253 | S[10]== { ClassName->sd, SelfConjugate->False, Indices->{Index[SCA],Index[Colour]}, FlavorIndex->SCA, QuantumNumbers->{Q->-1/3},
|
---|
254 | ParticleName->{"sd1","sd2","sd3","sd4","sd5","sd6"}, AntiParticleName->{"sd1~","sd2~","sd3~","sd4~","sd5~","sd6~"},
|
---|
255 | ClassMembers->{sd1,sd2,sd3,sd4,sd5,sd6}, Mass->{Msd,Msd1,Msd2,Msd3,Msd4,Msd5,Msd6}, Width->{Wsd,Wsd1,Wsd2,Wsd3,Wsd4,Wsd5,Wsd6},
|
---|
256 | PDG->{1000001,1000003,1000005,2000001,2000003,2000005}, PropagatorLabel->{"sd","sd1","sd2","sd3","sd4","sd5","sd6"},
|
---|
257 | PropagatorType->ScalarDash, PropagatorArrow->Forward},
|
---|
258 |
|
---|
259 | (* Ghost: related to unphysical gauge bosons *)
|
---|
260 | U[11] == { ClassName->ghWi, Unphysical->True, SelfConjugate->False, Ghost->Wi, Indices->{Index[SU2W]}, FlavorIndex->SU2W,
|
---|
261 | Definitions->{ghWi[1]->(ghWp+ghWm)/Sqrt[2], ghWi[2]->(ghWm-ghWp)/(I*Sqrt[2]), ghWi[3]->cw ghZ+sw ghA} } ,
|
---|
262 | U[12] == { ClassName->ghB, Unphysical->True, SelfConjugate->False, Ghost->B,
|
---|
263 | Definitions->{ghB->-sw ghZ+cw ghA} },
|
---|
264 |
|
---|
265 | (* Ghost: related to physical gauge bosons *)
|
---|
266 | U[1] == { ClassName->ghG, SelfConjugate->False, Indices->{Index[Gluon]}, Ghost->G, QuantumNumbers->{GhostNumber->1},
|
---|
267 | Mass->0, Width->0, ParticleName->"ghG", PropagatorLabel->"uG", PropagatorType->GhostDash, PropagatorArrow->Forward},
|
---|
268 | U[2] == { ClassName->ghA, SelfConjugate->False, Ghost->A, QuantumNumbers->{GhostNumber->1},
|
---|
269 | Mass->0, Width->0, ParticleName->"ghA", PropagatorLabel->"uA", PropagatorType->GhostDash, PropagatorArrow->Forward},
|
---|
270 | U[3] == { ClassName->ghZ, SelfConjugate->False, Ghost->Z, QuantumNumbers->{GhostNumber->1},
|
---|
271 | Mass->{MZ,Internal}, Width->WZ, ParticleName->"ghZ", PropagatorLabel->"uZ", PropagatorType->GhostDash, PropagatorArrow->Forward},
|
---|
272 | U[4] == { ClassName->ghWp, SelfConjugate->False, Ghost->W, QuantumNumbers->{GhostNumber->1, Q->1},
|
---|
273 | Mass->{MW,Internal}, Width->WW, ParticleName->"ghWp", PropagatorLabel->"uWp", PropagatorType->GhostDash, PropagatorArrow->Forward},
|
---|
274 | U[5] == { ClassName->ghWm, SelfConjugate->False, Ghost->Wbar, QuantumNumbers->{GhostNumber->1, Q->-1},
|
---|
275 | Mass->{MW,Internal}, Width->WW, ParticleName->"ghWm", PropagatorLabel->"uWm", PropagatorType->GhostDash, PropagatorArrow->Forward}
|
---|
276 | };
|
---|
277 |
|
---|
278 |
|
---|
279 | (* ************************** *)
|
---|
280 | (* ***** Parameters ***** *)
|
---|
281 | (* ************************** *)
|
---|
282 | M$Parameters = {
|
---|
283 |
|
---|
284 | (* Couplings constants: external parameters *)
|
---|
285 | aEWM1 == { TeX->Subsuperscript[\[Alpha],w,-1], ParameterType->External, ComplexParameter->False, BlockName->SMINPUTS, OrderBlock->1, InteractionOrder->{QED,-2},
|
---|
286 | Description->"Inverse of the EW coupling constant at the Z pole"},
|
---|
287 | aS == { TeX->Subscript[\[Alpha],s], ParameterType->External, ComplexParameter->False, BlockName->SMINPUTS, OrderBlock->3, InteractionOrder->{QCD, 2},
|
---|
288 | Description->"Strong coupling constant at the Z pole."},
|
---|
289 |
|
---|
290 | (* Couplings constants: internal parameters *)
|
---|
291 | ee == { TeX->e, ParameterType->Internal, ComplexParameter->False, Value->Sqrt[4 Pi / aEWM1], InteractionOrder->{QED,1},
|
---|
292 | Description->"Electric coupling constant"},
|
---|
293 | gs == { TeX->Subscript[g,s], ParameterType->Internal, ComplexParameter->False, Value->Sqrt[4 Pi aS], InteractionOrder->{QCD,1}, ParameterName->G,
|
---|
294 | Description->"Strong coupling constant"},
|
---|
295 | gp == { TeX->g', ParameterType->External, ComplexParameter->False, BlockName -> Gauge, OrderBlock -> 1, InteractionOrder->{QED,1},
|
---|
296 | Description->"Hypercharge coupling constant at the Z pole"},
|
---|
297 | gw == { TeX->Subscript[g,w], ParameterType->Internal, ComplexParameter->False, BlockName -> Gauge, OrderBlock -> 2, InteractionOrder->{QED,1},
|
---|
298 | Description->"Weak coupling constant at the Z pole"},
|
---|
299 |
|
---|
300 | (* Higgs sector: external parameters *)
|
---|
301 | tb == { TeX->Subscript[t,b], ParameterType->External, ComplexParameter->False, BlockName -> FRVev, OrderBlock->2, Description->"Ratio of the two Higgs vevs"},
|
---|
302 |
|
---|
303 | (* Higgs sector: internal parameters *)
|
---|
304 | beta == { TeX->\[Beta], ParameterType->Internal, ComplexParameter->False, Value->ArcTan[tb], Description->"Arctan of the ratio of the two Higgs vevs"},
|
---|
305 | vev == { TeX->v, ParameterType->External, ComplexParameter->False, BlockName -> FRVev, OrderBlock -> 1, InteractionOrder->{QED,-1},
|
---|
306 | Description->"Higgs vacuum expectation value"},
|
---|
307 | vd == { TeX->Subscript[v,d], ParameterType->Internal, ComplexParameter->False, Value->vev*Cos[beta], InteractionOrder->{QED,-1},
|
---|
308 | Description->"Down-type Higgs vacuum expectation value"},
|
---|
309 | vu == { TeX->Subscript[v,u], ParameterType->Internal, ComplexParameter->False, Value->vev*Sin[beta], InteractionOrder->{QED,-1},
|
---|
310 | Description->"Up-type Higgs vacuum expectation value"},
|
---|
311 |
|
---|
312 | (* Superpotential: external parameters *)
|
---|
313 | Ryu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->YU,
|
---|
314 | Description->"Up-type quark Yukawa matrix (real part)"},
|
---|
315 | Iyu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMYU,
|
---|
316 | Description->"Up-type quark Yukawa matrix (imaginary part)"},
|
---|
317 | Ryd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->YD,
|
---|
318 | Description->"Down-type quark Yukawa matrix (real part)"},
|
---|
319 | Iyd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMYD,
|
---|
320 | Description->"Down-type quark Yukawa matrix (imaginary part)"},
|
---|
321 | Rye == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->YE,
|
---|
322 | Description->"Charged lepton Yukawa matrix (real part)"},
|
---|
323 | Iye == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMYE,
|
---|
324 | Description->"Charged lepton Yukawa matrix (imaginary part)"},
|
---|
325 |
|
---|
326 | (* Superpotential: internal parameters *)
|
---|
327 | yu == { TeX->Superscript[y,u], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
328 | 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"},
|
---|
329 | yd == { TeX->Superscript[y,d], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
330 | 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"},
|
---|
331 | ye == { TeX->Superscript[y,e], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
332 | 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"},
|
---|
333 | mHu2 == { TeX->Subsuperscript[m,Subscript[H,u],2], ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->22,
|
---|
334 | Description->"Up-type Higgs squared mass"},
|
---|
335 | mHd2 == { TeX->Subsuperscript[m,Subscript[H,d],2], ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->21,
|
---|
336 | Description->"Down-type Higgs squared mass"},
|
---|
337 | MUH == { TeX->\[Mu], ParameterType->Internal, ComplexParameter->True, Value->(-8*mHd2*vd^2 + 8*mHu2*vu^2 + (gp^2 + gw^2)*(-vd^4 + vu^4))/(8*(vd - vu)*(vd + vu)), Description->"Off diagonal Higgs mixing parameter"},
|
---|
338 |
|
---|
339 | (* Soft terms: external parameters *)
|
---|
340 | RMx1 == { ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->1, Description->"Bino mass (real part)"},
|
---|
341 | IMx1 == { ParameterType->External, ComplexParameter->False, BlockName->IMMSOFT, OrderBlock->1, Description->"Bino mass (imaginary part)"},
|
---|
342 | RMx2 == { ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->2, Description->"Wino mass (real part)"},
|
---|
343 | IMx2 == { ParameterType->External, ComplexParameter->False, BlockName->IMMSOFT, OrderBlock->2, Description->"Wino mass (imaginary part)"},
|
---|
344 | RMx3 == { ParameterType->External, ComplexParameter->False, BlockName->MSOFT, OrderBlock->3, Description->"Gluino mass (real part)"},
|
---|
345 | IMx3 == { ParameterType->External, ComplexParameter->False, BlockName->IMMSOFT, OrderBlock->3, Description->"Gluino mass (imaginary part)"},
|
---|
346 | RmL2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSL2,
|
---|
347 | Description->"Left-handed slepton squared mass matrix (real part)"},
|
---|
348 | ImL2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSL2,
|
---|
349 | Description->"Left-handed slepton squared mass matrix (imaginary part)"},
|
---|
350 | RmE2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSE2,
|
---|
351 | Description->"Right-handed slepton squared mass matrix (real part)"},
|
---|
352 | ImE2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSE2,
|
---|
353 | Description->"Right-handed slepton squared mass matrix (imaginary part)"},
|
---|
354 | RmQ2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSQ2,
|
---|
355 | Description->"Left-handed squark squared mass matrix (real part)"},
|
---|
356 | ImQ2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSQ2,
|
---|
357 | Description->"Left-handed squark squared mass matrix (imaginary part)"},
|
---|
358 | RmU2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSU2,
|
---|
359 | Description->"Right-handed up-type squark squared mass matrix (real part)"},
|
---|
360 | ImU2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSU2,
|
---|
361 | Description->"Right-handed up-type squark squared mass matrix (imaginary part)"},
|
---|
362 | RmD2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->MSD2,
|
---|
363 | Description->"Right-handed down-type squark squared mass matrix (real part)"},
|
---|
364 | ImD2 == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMMSD2,
|
---|
365 | Description->"Right-handed down-type squark squared mass matrix (imaginary part)"},
|
---|
366 | Rte == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->TE,
|
---|
367 | Description->"Charged slepton trilinear coupling (real part)"},
|
---|
368 | Ite == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMTE,
|
---|
369 | Description->"Charged slepton trilinear coupling (imaginary part)"},
|
---|
370 | Rtu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->TU,
|
---|
371 | Description->"Up-type squark trilinear coupling (real part)"},
|
---|
372 | Itu == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMTU,
|
---|
373 | Description->"Up-type squark trilinear coupling (imaginary part)"},
|
---|
374 | Rtd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->TD,
|
---|
375 | Description->"Down-type squark trilinear coupling (real part)"},
|
---|
376 | Itd == { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMTD,
|
---|
377 | Description->"Down-type squark trilinear coupling (imaginary part)"},
|
---|
378 |
|
---|
379 | (* Soft terms: internal parameters *)
|
---|
380 | Mx1 == { TeX->Subscript[M,1], ParameterType->Internal, ComplexParameter->True, Value->RMx1+I*IMx1, Description->"Bino mass"},
|
---|
381 | Mx2 == { TeX->Subscript[M,2], ParameterType->Internal, ComplexParameter->True, Value->RMx2+I*IMx2, Description->"Wino mass"},
|
---|
382 | Mx3 == { TeX->Subscript[M,3], ParameterType->Internal, ComplexParameter->True, Value->RMx3+I*IMx3, Description->"Gluino mass"},
|
---|
383 | bb == { TeX->b, ParameterType->Internal, ComplexParameter->True, Value-> (vd*vu*(-4*mHd2 + 4*mHu2 - (gp^2 + gw^2)*(vd^2 - vu^2)))/(4*(vd^2 - vu^2)), Description->"Higgs bilinear soft term"},
|
---|
384 | mL2 == { TeX->Subsuperscript[m,OverTilde[L],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
385 | Value->{mL2[i_,j_]:>RmL2[i,j]+I*ImL2[i,j]}, Description-> "Left-handed slepton squared mass matrix"},
|
---|
386 | mE2 == { TeX->Subsuperscript[m,OverTilde[E],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
387 | Value->{mE2[i_,j_]:>RmE2[i,j]+I*ImE2[i,j]}, Description-> "Right-handed slepton squared mass matrix"},
|
---|
388 | mQ2 == { TeX->Subsuperscript[m,OverTilde[Q],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
389 | Value->{mQ2[i_,j_]:>RmQ2[i,j]+I*ImQ2[i,j]}, Description-> "Left-handed squark squared mass matrix"},
|
---|
390 | mU2 == { TeX->Subsuperscript[m,OverTilde[U],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
391 | Value->{mU2[i_,j_]:>RmU2[i,j]+I*ImU2[i,j]}, Description-> "Right-handed up-type squark squared mass matrix"},
|
---|
392 | mD2 == { TeX->Subsuperscript[m,OverTilde[D],2], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]},
|
---|
393 | Value->{mD2[i_,j_]:>RmD2[i,j]+I*ImD2[i,j]}, Description-> "Right-handed down-type squark squared mass matrix"},
|
---|
394 | te == { TeX->Subscript[T,e], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, InteractionOrder->{QED,1},
|
---|
395 | Value->{te[i_,j_]:>Rte[i,j]+I*Ite[i,j]}, Description-> "Charged slepton trilinear coupling"},
|
---|
396 | tu == { TeX->Subscript[T,u], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, InteractionOrder->{QED,1},
|
---|
397 | Value->{tu[i_,j_]:>Rtu[i,j]+I*Itu[i,j]}, Description-> "Up-type squark trilinear coupling"},
|
---|
398 | td == { TeX->Subscript[T,d], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, InteractionOrder->{QED,1},
|
---|
399 | Value->{td[i_,j_]:>Rtd[i,j]+I*Itd[i,j]}, Description-> "Down-type squark trilinear coupling"},
|
---|
400 |
|
---|
401 | (* Mixings that need to be given as parameters *)
|
---|
402 | RMNS== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->UPMNS,
|
---|
403 | Description->"Neutrino PMNS mixing matrix (real part)"},
|
---|
404 | IMNS== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMUPMNS,
|
---|
405 | Description->"Neutrino PMNS mixing matrix (imaginary part)"},
|
---|
406 | MNS== { TeX->Superscript[U,pmns], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, Unitary->True,
|
---|
407 | If[$MNSDiag, Definitions:>{MNS[i_,j_]:>0 /;(i!=j), MNS[i_,j_]:>1/;(i==j)}, Value->{MNS[i_,j_]:>RMNS[i,j]+I*IMNS[i,j]}],
|
---|
408 | Description-> "Neutrino PMNS mixing matrix"},
|
---|
409 | RCKM== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->VCKM,
|
---|
410 | Description->"CKM mixing matrix (real part)"},
|
---|
411 | ICKM== { ParameterType->External, ComplexParameter->False, Indices->{Index[GEN],Index[GEN]}, BlockName->IMVCKM,
|
---|
412 | Description->"CKM mixing matrix (imaginary part)"},
|
---|
413 | CKM == { TeX->Superscript[V,ckm], ParameterType->Internal, ComplexParameter->True, Indices->{Index[GEN],Index[GEN]}, Unitary->True,
|
---|
414 | If[$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]}],
|
---|
415 | Description-> "CKM mixing matrix"}
|
---|
416 | };
|
---|
417 |
|
---|
418 | (* ************************** *)
|
---|
419 | (* **** Diracification **** *)
|
---|
420 | (* ************************** *)
|
---|
421 | ToDirac[exp_]:= Module[{tmp=Expand[exp],cnt=0,prg1=0,prg2=0,prgo1=0,prgo2=0,tot},
|
---|
422 | Colourb=Colour;
|
---|
423 |
|
---|
424 | tmp = If[Head[tmp]===Plus,List@@tmp,List[tmp]]/.Tb[a_,i_,j_]->-T[a,j,i];
|
---|
425 |
|
---|
426 | tmp = OptimizeIndex[#] &/@ tmp;
|
---|
427 | tot=Length[tmp];
|
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428 | Print["Flavor expansion: ", ProgressIndicator[Dynamic[prg1]]];
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429 | tmp = Module[{}, cnt++; prg1=cnt/tot;
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430 | Expand[(ExpandIndices[#] /. {
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431 | Power[PauliSigma[a_,i_?(NumericQ[#] &),j_?(NumericQ[#] &)],2]->PauliSigma[1,i,j]^2 + PauliSigma[3,i,j]^2 + PauliSigma[2,i,j]^2,
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432 | PauliSigma[a_,i_?(NumericQ[#] &),j_?(NumericQ[#] &)] PauliSigma[a_,k_?(NumericQ[#] &),l_?(NumericQ[#] &)]->
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433 | 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;
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434 | tmp = Plus@@tmp;
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435 |
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436 | cnt=0; tot=Length[tmp];
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437 | Print["Opt 1: ",ProgressIndicator[Dynamic[prgo1]]];
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438 | tmp = Module[{}, cnt++; prgo1=cnt/tot;OptimizeIndex[#]] &/@ (List@@tmp);
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439 | Print["Weyl2Dirac: ",ProgressIndicator[Dynamic[prg2]]];cnt=0;
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440 | tmp = Module[{}, cnt++; prg2=cnt/tot; WeylToDirac[#]] &/@ tmp;
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441 | Print["Opt2: ",ProgressIndicator[Dynamic[prgo2]]];cnt=0;
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442 | tmp = Module[{}, cnt++; prgo2=cnt/tot;OptimizeIndex[#]] &/@ tmp;
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443 | Clear[Colourb];
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444 | Print["starting expansion"];
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445 | tmp=Expand/@tmp;
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446 | Print["Expand done"];
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447 | Return[Plus@@tmp]
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448 | ];
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449 |
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450 | (* ************************** *)
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451 | (* ***** Lagrangian ***** *)
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452 | (* ************************** *)
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453 | (* LVector *)
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454 | LVector := Module[{}, Plus@@(Module[{tmp}, tmp = SF2Components[#]; Expand[tmp[[2, 5]] + tmp[[2, 6]]]] &/@ (List @@ VSFKineticTerms[]))];
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455 |
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456 | (* LChiral *)
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457 | LChiral := Plus@@( Theta2Thetabar2Component[#] &/@ (List @@ CSFKineticTerms[]) );
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458 |
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459 | (* Superpotential *)
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460 | SPot:= Module[{ff1,ff2,ff3,cc1},
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461 | yu[ff1,ff2] UR[ff1,cc1] (QL[1,ff2,cc1] HU[2] - QL[2,ff2,cc1] HU[1]) -
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462 | yd[ff1,ff3] Conjugate[CKM[ff2,ff3]] DR[ff1,cc1] (QL[1,ff2,cc1] HD[2] - QL[2,ff2,cc1] HD[1]) -
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463 | ye[ff1,ff2] ER[ff1] (LL[1,ff2] HD[2] - LL[2,ff2] HD[1]) +
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464 | MUH (HU[1] HD[2] - HU[2] HD[1])];
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465 | LSuperW:= ( 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];
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466 |
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467 | (* Soft SUSY-breaking Lagrangian *)
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468 | LSoft := Module[{Mino, MSca, Tri, Bil},
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469 | (* Gaugino mass terms *)
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470 | Mino:=Module[{s,gl}, Mx1*bow[s].bow[s] + Mx2*wow[s,gl].wow[s,gl] + Mx3*goww[s,gl].goww[s,gl]];
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471 | (* Scalar mass terms *)
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472 | MSca:=Module[{ii,ff1,ff2,ff3,ff4,cc1},
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473 | - mHu2*HC[hus[ii]]*hus[ii] - mHd2*HC[hds[ii]]*hds[ii] -
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474 | mL2[ff1,ff2]*HC[LLs[ii,ff1]]*LLs[ii,ff2] - mE2[ff1,ff2]*HC[ERs[ff1]]*ERs[ff2] -
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475 | CKM[ff1,ff2]*mQ2[ff2,ff3]*Conjugate[CKM[ff4,ff3]]*HC[QLs[ii,ff1,cc1]]*QLs[ii,ff4,cc1] -
|
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476 | mU2[ff1,ff2]*HC[URs[ff1,cc1]]*URs[ff2,cc1] - mD2[ff1,ff2]*HC[DRs[ff1,cc1]]*DRs[ff2,cc1] ];
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477 | (* Trilinear couplings *)
|
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478 | Tri:=-tu[ff1,ff2]*URs[ff1,cc1] (QLs[1,ff2,cc1] hus[2] - QLs[2,ff2,cc1] hus[1]) +
|
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479 | Conjugate[CKM[ff3,ff2]]*td[ff1,ff2]*DRs[ff1,cc1] (QLs[1,ff3,cc1] hds[2] - QLs[2,ff3,cc1] hds[1]) +
|
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480 | te[ff1,ff2]*ERs[ff1] (LLs[1,ff2] hds[2] - LLs[2,ff2] hds[1]) ;
|
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481 | (* Bilinear couplings *)
|
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482 | Bil:=-bb*(hus[1] hds[2] - hus[2] hds[1]);
|
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483 | (* Everything together *)
|
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484 | (Mino+HC[Mino])/2 + MSca + Tri + HC[Tri] + Bil + HC[Bil]];
|
---|
485 |
|
---|
486 | (* Ghost Lagrangian and gauge fixing terms *)
|
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487 | LFeynmanGFix := 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},
|
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488 | (* Expression the doublets in the nu/nd basis *)
|
---|
489 | 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}];
|
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490 | 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}];
|
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491 |
|
---|
492 | (* Higgs doublets *)
|
---|
493 | Phiu = Expand[ {(phiu1 + I phiu2)/Sqrt[2], (US[2,1]*h0+US[2,2]*H0 + I*UC[2,1]*A0+I*UC[2,2]*G0)/Sqrt[2]} ];
|
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494 | Phid = Expand[ {(US[1,2]*h0+US[1,2]*H0 + I*UC[1,1]*A0-I*UC[2,2]*G0)/Sqrt[2], (phid1 + I phid2)/Sqrt[2]} ];
|
---|
495 | (* vevs *)
|
---|
496 | Phiu0 = {0, vu/Sqrt[2]};
|
---|
497 | Phid0 = {vd/Sqrt[2], 0};
|
---|
498 | (* Back to the physical Higgses and Goldstones *)
|
---|
499 | nrules := {
|
---|
500 | phid1 -> (UC[1,2]*GPbar - UC[1,2]*GP + UC[1,1]*Hbar + UC[1,1]*H)/Sqrt[2],
|
---|
501 | phid2 -> (UC[1,2]*GPbar + UC[1,2]*GP + UC[1,1]*Hbar - UC[1,1]*H)/(I Sqrt[2]),
|
---|
502 | phiu1 -> (UC[2,2]*GP + UC[2,2]*GPbar + UC[2,1]*H + UC[2,2]*Hbar)/Sqrt[2],
|
---|
503 | phiu2 -> (UC[2,2]*GP - UC[2,2]*GPbar + UC[2,1]*H - UC[2,2]*Hbar)/(I Sqrt[2])};
|
---|
504 |
|
---|
505 | (* Gauge-fixing functions *)
|
---|
506 | GF1 := Module[{mu}, del[B[mu] , mu] - gp VectorizeU[-I/2 Phiu0].VectorizeU[Phiu] - gp VectorizeD[I/2 Phid0].VectorizeD[Phid] ];
|
---|
507 | 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] ];
|
---|
508 | GF3[a_] := Module[{mu}, del[G[mu,a] , mu] ];
|
---|
509 | (* Gauge-fixing Lagrangian *)
|
---|
510 | 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}];
|
---|
511 | LGF = Expand[LGF/.(MR$Definitions /. Index[_, a_] -> a)];
|
---|
512 |
|
---|
513 | (* Ghost Lagrangians *)
|
---|
514 | LGh1 = -ghBbar.del[DC[ghB,mu],mu];
|
---|
515 | LGh2 = -ghWibar[kk].del[DC[ghWi[kk], mu], mu];
|
---|
516 | LGh3 = -ghGbar[kk].del[DC[ghG[kk],mu],mu];
|
---|
517 | genu := {-I/2 gp IdentityMatrix[2], -I/2 gw PauliSigma[1], -I/2 gw PauliSigma[2], -I/2 gw PauliSigma[3]};
|
---|
518 | gend := { I/2 gp IdentityMatrix[2], -I/2 gw PauliSigma[1], -I/2 gw PauliSigma[2], -I/2 gw PauliSigma[3]};
|
---|
519 | gh = {ghB, ghWi[1], ghWi[2], ghWi[3]};
|
---|
520 | ghbar = {ghBbar, ghWibar[1], ghWibar[2], ghWibar[3]};
|
---|
521 | LGhS = Sum[
|
---|
522 | -ghbar[[kk]].gh[[ll]] (VectorizeU[genu[[kk]].Phiu0].VectorizeU[genu[[ll]].(Phiu+Phiu0)] + VectorizeD[gend[[kk]].Phid0].VectorizeD[gend[[ll]].(Phid+Phid0)]),
|
---|
523 | {kk,1,4},{ll,1,4}];
|
---|
524 | LGh =(LGh1+LGh2+LGh3+LGhS)/.(MR$Definitions /. Index[_, a_] -> a);
|
---|
525 | LGh = LGh/.nrules;
|
---|
526 | Expand[LGF+LGh]];
|
---|
527 |
|
---|
528 | (* Collecting all the pieces together *)
|
---|
529 | Lag1 := SolveEqMotionF[SolveEqMotionD[LVector+LChiral+LSuperW+LSoft]] ;
|
---|
530 | Lag := ToDirac[SolveEqMotionF[SolveEqMotionD[LVector+LChiral+LSuperW+LSoft]]] + LFeynmanGFix ;
|
---|