1 | (* ************************************************************************* *)
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2 | (* ***** ***** *)
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3 | (* ***** FeynRules model file: vector_LQ ***** *)
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4 | (* ***** Authors: M. Baker, J. Fuentes-Martin, M. König, G. Isidori ***** *)
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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 |
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12 | M$ModelName = "vector_LQ";
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13 |
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14 | M$Information = {Authors -> {"M. Baker", "J. Fuentes-Martin", "M. Koenig", "G. Isidori"},
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15 | Version -> "1.1",
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16 | Date -> "07.04.2021",
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17 | Institutions -> {"U. Zurich", "Johannes Gutenberg University Mainz"},
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18 | Emails -> {"baker@physik.uzh.ch", "jfuentes@uni-mainz.de", "matthias.koenig@tum.de", "isidori@physik.uzh.ch"}
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19 | };
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20 |
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21 | (* ************************** *)
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22 | (* ***** Change log ***** *)
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23 | (* ************************** *)
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24 |
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25 | (* v1.1: Fixed bug with vector leptoquark covariant derivative. *)
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26 |
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27 | (* ************************** *)
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28 | (* *** Interaction orders *** *)
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29 | (* ************************** *)
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30 |
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31 | M$InteractionOrderHierarchy = { {QCD,1}, {NP,1}, {QED,2} };
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32 |
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33 |
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34 | (* ************************** *)
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35 | (* **** Particle classes **** *)
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36 | (* ************************** *)
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37 |
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38 | M$ClassesDescription = {
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39 | (* Physical leptoquark field *)
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40 | V[5] == {
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41 | ClassName -> VLQ,
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42 | SelfConjugate -> False,
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43 | QuantumNumbers -> {Q -> 2/3, LeptonNumber -> -1},
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44 | Indices -> {Index[Colour]},
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45 | Mass -> {MVLQ, 3000},
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46 | Width -> {WVLQ, 600},
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47 | ParticleName -> "VLQ",
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48 | PDG -> 42,
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49 | PropagatorLabel -> "VLQ",
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50 | PropagatorType -> Sine,
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51 | PropagatorArrow -> None,
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52 | FullName -> "Vector leptoquark U1"
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53 | },
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54 | (* Unphysical leptoquark field (needed to get the right covariant derivative) *)
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55 | V[13] == {
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56 | ClassName -> U,
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57 | Unphysical -> True,
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58 | SelfConjugate -> False,
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59 | QuantumNumbers -> {Y -> 2/3},
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60 | Indices -> {Index[Colour]},
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61 | Definitions -> {U[mu_,cc_] -> VLQ[mu,cc]}
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62 | }
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63 | };
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64 |
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65 | (* ************************** *)
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66 | (* ***** Parameters ***** *)
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67 | (* ************************** *)
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68 |
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69 | M$Parameters = {
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70 | (* External Parameters *)
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71 | gU == {
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72 | ParameterType -> External,
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73 | Value -> 3.0,
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74 | InteractionOrder -> {NP,1},
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75 | TeX -> Subscript[g,U],
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76 | BlockName -> NPLQCOUP,
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77 | OrderBlock -> 1,
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78 | Description -> "Overall LQ coupling strength"
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79 | },
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80 |
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81 | betaL33 == {
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82 | ParameterType -> External,
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83 | Value -> 1.0,
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84 | InteractionOrder -> {NP,0},
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85 | TeX -> Subscript[Superscript[\[Beta],L],33],
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86 | BlockName -> NPLQCOUP,
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87 | OrderBlock -> 2,
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88 | Description -> "LQ LH b tau coupling"
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89 | },
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90 |
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91 | betaRd33 == {
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92 | ParameterType -> External,
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93 | Value -> 1.0,
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94 | InteractionOrder -> {NP,0},
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95 | TeX -> Subscript[Superscript[\[Beta],R],33],
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96 | BlockName -> NPLQCOUP,
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97 | OrderBlock -> 3,
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98 | Description -> "LQ RH b tau coupling"
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99 | },
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100 |
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101 | betaL23 == {
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102 | ParameterType -> External,
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103 | Value -> 0.0,
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104 | InteractionOrder -> {NP,0},
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105 | TeX -> Subscript[Superscript[\[Beta],L],23],
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106 | BlockName -> NPLQCOUP,
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107 | OrderBlock -> 4,
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108 | Description -> "LQ LH s tau coupling"
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109 | },
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110 |
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111 | betaL32 == {
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112 | ParameterType -> External,
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113 | Value -> 0.0,
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114 | InteractionOrder -> {NP,0},
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115 | TeX -> Subscript[Superscript[\[Beta],L],32],
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116 | BlockName -> NPLQCOUP,
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117 | OrderBlock -> 5,
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118 | Description -> "LQ LH b mu coupling"
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119 | },
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120 |
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121 | kappaU == {
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122 | ParameterType -> External,
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123 | Value -> 0.0,
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124 | InteractionOrder -> {NP,0},
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125 | TeX -> Subscript[\[Kappa],U],
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126 | BlockName -> NPLQCOUP,
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127 | OrderBlock -> 6,
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128 | Description -> "Non-minimal LQ coupling to gluons"
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129 | },
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130 |
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131 | kappaUtilde == {
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132 | ParameterType -> External,
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133 | Value -> 0.0,
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134 | InteractionOrder -> {NP,0},
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135 | TeX -> Subscript[OverTilde[\[Kappa]],U],
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136 | BlockName -> NPLQCOUP,
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137 | OrderBlock -> 7,
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138 | Description -> "Non-minimal LQ coupling to B gauge boson"
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139 | },
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140 |
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141 | (* Internal Parameters *)
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142 | betaL == {
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143 | ParameterType -> Internal,
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144 | Indices -> {Index[Generation], Index[Generation]},
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145 | Definitions -> {betaL[1, 2] :> 0, betaL[i_?NumericQ, 1] :> 0, betaL[2,2] -> 0},
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146 | Value -> {
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147 | betaL[1,3] -> Conjugate[newCKM[3,1]/newCKM[3,2]]*betaL23,
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148 | betaL[2,3] -> betaL23,
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149 | betaL[3,2] -> betaL32, betaL[3,3] -> betaL33
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150 | },
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151 | InteractionOrder -> {NP,0},
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152 | TeX -> Subscript[\[Beta],L],
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153 | Description -> "LQ LH coupling matrix"
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154 | },
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155 |
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156 | betaRd == {
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157 | ParameterType -> Internal,
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158 | Indices -> {Index[Generation], Index[Generation]},
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159 | Definitions -> {betaRd[1, j_?NumericQ] :> 0, betaRd[i_?NumericQ, 1] :> 0, betaRd[2,i_?NumericQ] :> 0, betaRd[i_?NumericQ,2] :> 0 },
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160 | Value -> {betaRd[3,3] -> betaRd33},
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161 | InteractionOrder -> {NP,0},
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162 | TeX -> Subscript[\[Beta],Rd],
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163 | Description -> "LQ RH down-type coupling matrix"
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164 | },
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165 |
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166 | (* N. B. : Inputs from UTFit NP fit 2018 *)
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167 | newCKM == {
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168 | ParameterType -> Internal,
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169 | Unitary -> True,
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170 | Indices -> {Index[Generation], Index[Generation]},
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171 | Value -> {newCKM[1,1] -> 0.97431, newCKM[1,2] -> 0.22514, newCKM[1,3] -> 0.00371 * Exp[-68.8*I*Pi/180],
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172 | newCKM[2,1] -> -0.22504 * Exp[0.0341*I*Pi/180], newCKM[2,2] -> 0.97353 * Exp[-0.00182*I*Pi/180], newCKM[2,3] -> 0.0397,
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173 | newCKM[3,1] -> 0.00837 * Exp[-23.6*I*Pi/180], newCKM[3,2] -> -0.0390 * Exp[1.137*I*Pi/180], newCKM[3,3] -> 0.999200},
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174 | TeX -> Superscript[V,CKM'],
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175 | Description -> "CKM-Matrix with 1-3 and 2-3 mixing"
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176 | }
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177 | };
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178 |
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179 |
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180 | (* ************************** *)
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181 | (* ***** Lagrangian ***** *)
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182 | (* ************************** *)
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183 |
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184 | LVLQKin := Block[{mu,nu,cc1}, - 1/2 * (DC[Ubar[mu,cc1], nu] - DC[Ubar[nu,cc1], mu]) * (DC[U[mu,cc1], nu] - DC[U[nu,cc1], mu]) ];
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185 |
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186 | LVLQF := Block[{ff1,ff2,ff3,s1,s2,s3,cc1,mu},
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187 | gU/(Sqrt[2]) * VLQ[mu,cc1] *
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188 | (
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189 | betaL[ff1,ff2] * newCKM[ff3,ff1] * uqbar[s1,ff3,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * vl[s3,ff2] +
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190 | betaL[ff1,ff2] * dqbar[s1,ff1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * l[s3,ff2] +
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191 | betaRd[ff1,ff2] * dqbar[s1,ff1,cc1] * Ga[mu,s1,s2] * ProjP[s2,s3] * l[s3,ff2]
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192 | )
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193 | ];
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194 |
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195 | LVLQG := Block[{cc1,cc2,aa1,mu,nu},
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196 | - I * gs * (1 - kappaU) * Ubar[mu,cc1] * T[aa1,cc1,cc2] * U[nu,cc2] * FS[G,mu,nu,aa1] - I * 2/3 * g1 * (1 - kappaUtilde) * Ubar[mu,cc1] * U[nu,cc1] * FS[B,mu,nu]
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197 | ];
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198 |
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199 | LVLQ := LVLQKin + LVLQF + HC[LVLQF] + LVLQG;
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