| 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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