1 | (* ************************************************************************* *)
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2 | (* ***** ***** *)
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3 | (* ***** FeynRules model file: Zprime ***** *)
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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$ModelName = "Zprime";
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13 |
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14 | M$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 | (* *** Interaction orders *** *)
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23 | (* ************************** *)
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24 |
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25 | M$InteractionOrderHierarchy = { {QCD,1}, {NP,1}, {QED,2} };
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26 |
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27 |
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28 | (* ************************** *)
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29 | (* **** Particle classes **** *)
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30 | (* ************************** *)
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31 |
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32 | M$ClassesDescription = {
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33 | V[6] == {
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34 | ClassName -> Zp,
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35 | SelfConjugate -> True,
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36 | Indices -> {},
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37 | Mass -> {MZp, 3000},
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38 | Width -> {WZp, 600},
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39 | ParticleName -> "Zp",
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40 | PDG -> 43,
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41 | PropagatorLabel -> "Zp",
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42 | PropagatorType -> Sine,
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43 | PropagatorArrow -> None,
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44 | FullName -> "Zprime"
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45 | }
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46 | };
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47 |
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48 | (* ************************** *)
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49 | (* ***** Parameters ***** *)
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50 | (* ************************** *)
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51 |
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52 | M$Parameters = {
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53 | (* External Parameters *)
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54 | gZp == {
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55 | ParameterType -> External,
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56 | Value -> 3.0,
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57 | InteractionOrder -> {NP,1},
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58 | TeX -> Subscript[g,Zp],
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59 | BlockName -> NPZPCOUP,
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60 | OrderBlock -> 1,
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61 | Description -> "Overall Zp coupling strength"
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62 | },
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63 |
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64 | zetaq33 == {
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65 | ParameterType -> External,
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66 | Value -> 1.0,
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67 | InteractionOrder -> {NP,0},
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68 | TeX -> Subscript[Superscript[\[Zeta],q],33],
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69 | BlockName -> NPZPCOUP,
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70 | OrderBlock -> 2,
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71 | Description -> "Zp LH coupling third generation quarks"
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72 | },
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73 |
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74 | zetal33 == {
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75 | ParameterType -> External,
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76 | Value -> 1.0,
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77 | InteractionOrder -> {NP,0},
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78 | TeX -> Subscript[Superscript[\[Zeta],l],33],
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79 | BlockName -> NPZPCOUP,
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80 | OrderBlock -> 3,
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81 | Description -> "Zp LH coupling third generation leptons"
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82 | },
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83 |
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84 | zetaRu33 == {
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85 | ParameterType -> External,
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86 | Value -> 1.0,
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87 | InteractionOrder -> {NP,0},
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88 | TeX -> Subscript[Superscript[\[Zeta],Ru],33],
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89 | BlockName -> NPZPCOUP,
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90 | OrderBlock -> 4,
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91 | Description -> "Zp RH tt coupling"
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92 | },
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93 |
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94 | zetaRd33 == {
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95 | ParameterType -> External,
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96 | Value -> 1.0,
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97 | InteractionOrder -> {NP,0},
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98 | TeX -> Subscript[Superscript[\[Zeta],Rd],33],
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99 | BlockName -> NPZPCOUP,
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100 | OrderBlock -> 5,
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101 | Description -> "Zp RH bb coupling"
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102 | },
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103 |
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104 | zetaRe33 == {
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105 | ParameterType -> External,
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106 | Value -> 1.0,
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107 | InteractionOrder -> {NP,0},
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108 | TeX -> Subscript[Superscript[\[Zeta],Re],33],
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109 | BlockName -> NPZPCOUP,
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110 | OrderBlock -> 6,
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111 | Description -> "Zp RH tau tau coupling"
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112 | },
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113 |
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114 | zetaqll == {
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115 | ParameterType -> External,
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116 | Value -> 0.0,
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117 | InteractionOrder -> {NP,0},
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118 | TeX -> Subscript[Superscript[\[Zeta],q],ll],
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119 | BlockName -> NPZPCOUP,
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120 | OrderBlock -> 7,
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121 | Description -> "Zp LH coupling light-generations quarks"
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122 | },
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123 |
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124 | zetal22 == {
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125 | ParameterType -> External,
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126 | Value -> 0.0,
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127 | InteractionOrder -> {NP,0},
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128 | TeX -> Subscript[Superscript[\[Zeta],l],22],
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129 | BlockName -> NPZPCOUP,
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130 | OrderBlock -> 8,
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131 | Description -> "Zp LH coupling light-generations leptons"
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132 | },
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133 |
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134 | zetal23 == {
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135 | ParameterType -> External,
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136 | Value -> 0.0,
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137 | InteractionOrder -> {NP,0},
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138 | TeX -> Subscript[Superscript[\[Zeta],l],23],
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139 | BlockName -> NPZPCOUP,
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140 | OrderBlock -> 9,
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141 | Description -> "Zp LH LFV coupling"
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142 | },
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143 |
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144 | zetaRull == {
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145 | ParameterType -> External,
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146 | Value -> 0.0,
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147 | InteractionOrder -> {NP,0},
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148 | TeX -> Subscript[Superscript[\[Zeta],Ru],ll],
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149 | BlockName -> NPZPCOUP,
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150 | OrderBlock -> 10,
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151 | Description -> "Zp RH up-type light-quark coupling"
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152 | },
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153 |
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154 | zetaRdll == {
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155 | ParameterType -> External,
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156 | Value -> 0.0,
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157 | InteractionOrder -> {NP,0},
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158 | TeX -> Subscript[Superscript[\[Zeta],Rd],ll],
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159 | BlockName -> NPZPCOUP,
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160 | OrderBlock -> 11,
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161 | Description -> "Zp RH light down-quark coupling"
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162 | },
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163 |
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164 | zetaRe22 == {
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165 | ParameterType -> External,
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166 | Value -> 0.0,
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167 | InteractionOrder -> {NP,0},
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168 | TeX -> Subscript[Superscript[\[Zeta],Re],22],
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169 | BlockName -> NPZPCOUP,
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170 | OrderBlock -> 12,
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171 | Description -> "Zp RH light charged-lepton coupling"
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172 | },
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173 |
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174 | (* Internal Parameters *)
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175 | zetaq == {
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176 | ParameterType -> Internal,
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177 | Indices -> {Index[Generation], Index[Generation]},
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178 | Hermitian -> True,
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179 | Definitions -> {zetaq[i_?NumericQ, j_?NumericQ] :> 0 /; (i =!= j)},
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180 | Value -> {zetaq[1,1] -> zetaqll, zetaq[2,2] -> zetaqll, zetaq[3,3] -> zetaq33},
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181 | InteractionOrder -> {NP,0},
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182 | TeX -> Subscript[\[Zeta],q],
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183 | Description -> "Zp LH quark coupling matrix"
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184 | },
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185 |
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186 | zetal == {
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187 | ParameterType -> Internal,
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188 | Indices -> {Index[Generation], Index[Generation]},
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189 | Hermitian -> True,
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190 | Definitions -> {zetal[i_?NumericQ, 1] :> 0, zetal[1,i_?NumericQ] :> 0},
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191 | Value -> {zetal[2,2] -> zetal22, zetal[3,3] -> zetal33, zetal[2,3] -> zetal23, zetal[3,2] -> Conjugate[zetal23]},
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192 | InteractionOrder -> {NP,0},
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193 | TeX -> Subscript[\[Zeta],q],
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194 | Description -> "Zp LH lepton coupling matrix"
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195 | },
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196 |
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197 | zetaRu == {
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198 | ParameterType -> Internal,
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199 | Indices -> {Index[Generation], Index[Generation]},
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200 | Hermitian -> True,
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201 | Definitions -> {zetaRu[i_?NumericQ, j_?NumericQ] :> 0 /; (i =!= j)},
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202 | Value -> {zetaRu[1,1] -> zetaRull, zetaRu[2,2] -> zetaRull, zetaRu[3,3] -> zetaRu33},
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203 | InteractionOrder -> {NP,0},
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204 | TeX -> Subscript[\[Zeta],Ru],
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205 | Description -> "Zp RH up-type quark coupling matrix"
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206 | },
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207 |
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208 | zetaRd == {
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209 | ParameterType -> Internal,
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210 | Indices -> {Index[Generation], Index[Generation]},
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211 | Hermitian -> True,
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212 | Definitions -> {zetaRd[i_?NumericQ, j_?NumericQ] :> 0 /; (i =!= j)},
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213 | Value -> {zetaRd[1,1] -> zetaRdll, zetaRd[2,2] -> zetaRdll, zetaRd[3,3] -> zetaRd33},
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214 | InteractionOrder -> {NP,0},
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215 | TeX -> Subscript[\[Zeta],Rd],
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216 | Description -> "Zp RH down-type quark coupling matrix"
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217 | },
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218 |
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219 | zetaRe == {
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220 | ParameterType -> Internal,
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221 | Indices -> {Index[Generation], Index[Generation]},
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222 | Hermitian -> True,
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223 | Definitions -> {zetaRe[i_?NumericQ, j_?NumericQ] :> 0 /; (i =!= j), zetaRe[1,1] :> 0},
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224 | Value -> {zetaRe[2,2] -> zetaRe22, zetaRe[3,3] -> zetaRe33},
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225 | InteractionOrder -> {NP,0},
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226 | TeX -> Subscript[\[Zeta],Re],
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227 | Description -> "Zp RH charged-lepton coupling matrix"
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228 | }
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229 | };
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230 |
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231 |
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232 |
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233 | (* ************************** *)
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234 | (* ***** Lagrangian ***** *)
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235 | (* ************************** *)
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236 |
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237 | LZpF := Block[{ff1,ff2,ff3,ff4,s1,s2,s3,mu,cc1},
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238 | gZp/(2 * Sqrt[6]) * Zp[mu] *
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239 | (
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240 | zetaq[ff1,ff2] * newCKM[ff3,ff1] * uqbar[s1,ff3,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * Conjugate[newCKM[ff4,ff2]] * uq[s3,ff4,cc1] +
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241 | zetaq[ff1,ff2] * dqbar[s1,ff1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * dq[s3,ff2,cc1] +
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242 | -3 * zetal[ff1,ff2] * lbar[s1,ff1] * Ga[mu,s1,s2] * ProjM[s2,s3] * l[s3,ff2] +
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243 | -3 * zetal[ff1,ff2] * vlbar[s1,ff1] * Ga[mu,s1,s2] * ProjM[s2,s3] * vl[s3,ff2] +
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244 | zetaRu[ff1,ff2] * uqbar[s1,ff1,cc1] * Ga[mu,s1,s2] * ProjP[s2,s3] * uq[s3,ff2,cc1] +
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245 | zetaRd[ff1,ff2] * dqbar[s1,ff1,cc1] * Ga[mu,s1,s2] * ProjP[s2,s3] * dq[s3,ff2,cc1] +
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246 | -3 * zetaRe[ff1,ff2] * lbar[s1,ff1] * Ga[mu,s1,s2] * ProjP[s2,s3] * l[s3,ff2]
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247 | )
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248 | ];
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249 |
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250 | LZp := LZpF;
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