| 1 | (* ************************************************************************* *)
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| 2 | (* ***** ***** *)
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| 3 | (* ***** FeynRules model file: VLferm ***** *)
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| 4 | (* ***** Authors: J. Fuentes-Martin and D. Faroughy ***** *)
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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$ModelName = "VLferm";
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| 13 |
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| 14 | M$Information = {Authors -> {"J. Fuentes-Martin", "D. Faroughy"},
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| 15 | Version -> "1.0",
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| 16 | Date -> "21.06.2022",
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| 17 | Institutions -> {"University of Granada", "University of Zurich"},
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| 18 | Emails -> {"javier.fuentes@ugr.es", "faroughy@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 | (* Vector-like fermions: physical fields *)
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| 34 | F[5] == {
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| 35 | ClassName -> Ln,
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| 36 | SelfConjugate -> False,
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| 37 | Mass -> {MLn, 1000},
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| 38 | Width -> {WLn, 10},
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| 39 | QuantumNumbers -> {LeptonNumber -> 1},
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| 40 | PropagatorLabel -> "Ln",
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| 41 | PropagatorType -> Straight,
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| 42 | PropagatorArrow -> Forward,
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| 43 | PDG -> 72,
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| 44 | ParticleName -> "Ln",
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| 45 | AntiParticleName -> "Ln~",
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| 46 | FullName -> "Neutral vector-like lepton"
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| 47 | },
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| 48 | F[6] == {
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| 49 | ClassName -> Le,
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| 50 | SelfConjugate -> False,
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| 51 | Mass -> {MLe, 1000},
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| 52 | Width -> {WLe, 10},
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| 53 | QuantumNumbers -> {Q -> -1, LeptonNumber -> 1},
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| 54 | PropagatorLabel -> "Le",
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| 55 | PropagatorType -> Straight,
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| 56 | PropagatorArrow -> Forward,
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| 57 | PDG -> 71,
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| 58 | ParticleName -> "Le-",
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| 59 | AntiParticleName -> "Le+",
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| 60 | FullName -> "Charged vector-like lepton"
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| 61 | },
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| 62 | F[7] == {
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| 63 | ClassName -> Qu,
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| 64 | SelfConjugate -> False,
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| 65 | Indices -> {Index[Colour]},
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| 66 | Mass -> {MQu, 2000},
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| 67 | Width -> {WQu, 10},
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| 68 | QuantumNumbers -> {Q -> 2/3},
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| 69 | PropagatorLabel -> "Qu",
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| 70 | PropagatorType -> Straight,
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| 71 | PropagatorArrow -> Forward,
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| 72 | PDG -> 62,
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| 73 | ParticleName -> "Qu",
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| 74 | AntiParticleName -> "Qu~",
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| 75 | FullName -> "Up-type vector-like quark"
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| 76 | },
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| 77 | F[8] == {
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| 78 | ClassName -> Qd,
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| 79 | SelfConjugate -> False,
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| 80 | Indices -> {Index[Colour]},
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| 81 | Mass -> {MQd, 2000},
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| 82 | Width -> {WQd, 10},
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| 83 | QuantumNumbers -> {Q -> -1/3},
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| 84 | PropagatorLabel -> "Qd",
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| 85 | PropagatorType -> Straight,
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| 86 | PropagatorArrow -> Forward,
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| 87 | PDG -> 61,
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| 88 | ParticleName -> "Qd",
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| 89 | AntiParticleName -> "Qd~",
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| 90 | FullName -> "Down-type vector-like quark"
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| 91 | },
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| 92 |
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| 93 | (* Vector-like fermions: unphysical fields *)
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| 94 |
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| 95 | F[16] == {
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| 96 | ClassName -> chiL,
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| 97 | Unphysical -> True,
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| 98 | Indices -> {Index[SU2D]},
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| 99 | FlavorIndex -> SU2D,
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| 100 | SelfConjugate -> False,
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| 101 | QuantumNumbers -> {Y -> -1/2},
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| 102 | Definitions -> {
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| 103 | chiL[sp1_,1] :> Ln[sp1],
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| 104 | chiL[sp1_,2] :> Le[sp1]
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| 105 | }
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| 106 | },
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| 107 | F[17] == {
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| 108 | ClassName -> chiQ,
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| 109 | Unphysical -> True,
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| 110 | Indices -> {Index[SU2D], Index[Colour]},
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| 111 | FlavorIndex -> SU2D,
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| 112 | SelfConjugate -> False,
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| 113 | QuantumNumbers -> {Y -> 1/6},
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| 114 | Definitions -> {
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| 115 | chiQ[sp1_,1,cc_] :> Qu[sp1,cc],
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| 116 | chiQ[sp1_,2,cc_] :> Qd[sp1,cc]
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| 117 | }
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| 118 | }
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| 119 | };
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| 120 |
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| 121 | (* ************************** *)
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| 122 | (* ***** Parameters ***** *)
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| 123 | (* ************************** *)
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| 124 |
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| 125 | M$Parameters = {
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| 126 | (* External Parameters *)
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| 127 | betaLQL == {
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| 128 | ParameterType -> External,
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| 129 | Value -> 1.0,
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| 130 | InteractionOrder -> {NP,0},
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| 131 | TeX -> Subsuperscript[\[Beta],L,QL],
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| 132 | BlockName -> NPLQCOUP,
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| 133 | OrderBlock -> 8,
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| 134 | Description -> "LQ Q L left-handed coupling"
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| 135 | },
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| 136 | betaRQL == {
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| 137 | ParameterType -> External,
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| 138 | Value -> 1.0,
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| 139 | InteractionOrder -> {NP,0},
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| 140 | TeX -> Subsuperscript[\[Beta],R,QL],
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| 141 | BlockName -> NPLQCOUP,
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| 142 | OrderBlock -> 9,
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| 143 | Description -> "LQ Q L right-handed coupling"
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| 144 | },
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| 145 | betaL3L == {
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| 146 | ParameterType -> External,
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| 147 | Value -> 1.0,
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| 148 | InteractionOrder -> {NP,0},
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| 149 | TeX -> Subsuperscript[\[Beta],L,3L],
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| 150 | BlockName -> NPLQCOUP,
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| 151 | OrderBlock -> 10,
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| 152 | Description -> "LQ q3 L coupling"
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| 153 | },
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| 154 | betaLQ3 == {
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| 155 | ParameterType -> External,
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| 156 | Value -> 1.0,
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| 157 | InteractionOrder -> {NP,0},
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| 158 | TeX -> Subsuperscript[\[Beta],L,Q3],
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| 159 | BlockName -> NPLQCOUP,
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| 160 | OrderBlock -> 11,
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| 161 | Description -> "LQ Q l3 coupling"
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| 162 | },
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| 163 | betaL2L == {
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| 164 | ParameterType -> External,
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| 165 | Value -> 0.2,
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| 166 | InteractionOrder -> {NP,0},
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| 167 | TeX -> Subsuperscript[\[Beta],L,2L],
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| 168 | BlockName -> NPLQCOUP,
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| 169 | OrderBlock -> 12,
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| 170 | Description -> "LQ q2 L coupling"
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| 171 | },
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| 172 | betaLQ2 == {
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| 173 | ParameterType -> External,
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| 174 | Value -> 0.2,
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| 175 | InteractionOrder -> {NP,0},
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| 176 | TeX -> Subsuperscript[\[Beta],L,Q2],
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| 177 | BlockName -> NPLQCOUP,
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| 178 | OrderBlock -> 13,
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| 179 | Description -> "LQ Q l2 coupling"
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| 180 | },
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| 181 |
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| 182 | zetaLQQ == {
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| 183 | ParameterType -> External,
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| 184 | Value -> 1.0,
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| 185 | InteractionOrder -> {NP,0},
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| 186 | TeX -> Subsuperscript[\[Zeta],L,QQ],
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| 187 | BlockName -> NPZPCOUP,
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| 188 | OrderBlock -> 13,
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| 189 | Description -> "Zp Q Q left-handed coupling"
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| 190 | },
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| 191 | zetaRQQ == {
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| 192 | ParameterType -> External,
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| 193 | Value -> 1.0,
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| 194 | InteractionOrder -> {NP,0},
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| 195 | TeX -> Subsuperscript[\[Zeta],R,QQ],
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| 196 | BlockName -> NPZPCOUP,
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| 197 | OrderBlock -> 14,
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| 198 | Description -> "Zp Q Q right-handed coupling"
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| 199 | },
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| 200 | zetaLQ2 == {
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| 201 | ParameterType -> External,
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| 202 | Value -> 0.2,
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| 203 | InteractionOrder -> {NP,0},
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| 204 | TeX -> Subsuperscript[\[Zeta],L,Q2],
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| 205 | BlockName -> NPZPCOUP,
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| 206 | OrderBlock -> 15,
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| 207 | Description -> "Zp Q q2 left-handed coupling"
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| 208 | },
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| 209 | zetaLLL == {
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| 210 | ParameterType -> External,
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| 211 | Value -> 1.0,
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| 212 | InteractionOrder -> {NP,0},
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| 213 | TeX -> Subsuperscript[\[Zeta],L,LL],
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| 214 | BlockName -> NPZPCOUP,
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| 215 | OrderBlock -> 16,
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| 216 | Description -> "Zp L L left-handed coupling"
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| 217 | },
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| 218 | zetaRLL == {
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| 219 | ParameterType -> External,
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| 220 | Value -> 1.0,
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| 221 | InteractionOrder -> {NP,0},
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| 222 | TeX -> Subsuperscript[\[Zeta],R,LL],
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| 223 | BlockName -> NPZPCOUP,
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| 224 | OrderBlock -> 17,
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| 225 | Description -> "Zp L L right-handed coupling"
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| 226 | },
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| 227 | zetaLL2 == {
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| 228 | ParameterType -> External,
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| 229 | Value -> 0.2,
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| 230 | InteractionOrder -> {NP,0},
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| 231 | TeX -> Subsuperscript[\[Zeta],L,L2],
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| 232 | BlockName -> NPZPCOUP,
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| 233 | OrderBlock -> 18,
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| 234 | Description -> "Zp L l2 left-handed coupling"
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| 235 | },
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| 236 |
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| 237 | kappaLQQ == {
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| 238 | ParameterType -> External,
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| 239 | Value -> 1.0,
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| 240 | InteractionOrder -> {NP,0},
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| 241 | TeX -> Subsuperscript[\[Kappa],L,QQ],
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| 242 | BlockName -> NPGPCOUP,
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| 243 | OrderBlock -> 10,
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| 244 | Description -> "Gp Q Q left-handed coupling"
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| 245 | },
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| 246 | kappaRQQ == {
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| 247 | ParameterType -> External,
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| 248 | Value -> 1.0,
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| 249 | InteractionOrder -> {NP,0},
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| 250 | TeX -> Subsuperscript[\[Kappa],R,QQ],
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| 251 | BlockName -> NPGPCOUP,
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| 252 | OrderBlock -> 11,
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| 253 | Description -> "Gp Q Q left-handed coupling"
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| 254 | },
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| 255 | kappaLQ2 == {
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| 256 | ParameterType -> External,
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| 257 | Value -> 0.2,
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| 258 | InteractionOrder -> {NP,0},
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| 259 | TeX -> Subsuperscript[\[Kappa],L,Q2],
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| 260 | BlockName -> NPGPCOUP,
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| 261 | OrderBlock -> 12,
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| 262 | Description -> "Gp Q q2 left-handed coupling"
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| 263 | },
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| 264 |
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| 265 | (* Internal Parameters *)
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| 266 | betaLchiQ == {
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| 267 | ParameterType -> Internal,
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| 268 | Indices -> {Index[Generation]},
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| 269 | Definitions -> {betaLchiQ[1] -> 0},
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| 270 | Value -> {betaLchiQ[2] -> betaLQ2, betaLchiQ[3] -> betaLQ3},
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| 271 | InteractionOrder -> {NP,0},
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| 272 | TeX -> Subsuperscript[\[Beta],L,Ql],
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| 273 | Description -> "Q-SM-LQ coupling vector"
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| 274 | },
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| 275 | betaLchiL == {
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| 276 | ParameterType -> Internal,
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| 277 | Indices -> {Index[Generation]},
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| 278 | Definitions -> {betaLchiL[1] -> 0},
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| 279 | Value -> {betaLchiL[2] -> betaL2L, betaLchiL[3] -> betaL3L},
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| 280 | InteractionOrder -> {NP,0},
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| 281 | TeX -> Subsuperscript[\[Beta],L,qL],
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| 282 | Description -> "SM-L-Zp coupling vector"
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| 283 | },
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| 284 | zetaLchiQ == {
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| 285 | ParameterType -> Internal,
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| 286 | Indices -> {Index[Generation]},
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| 287 | Definitions -> {zetaLchiQ[1] -> 0, zetaLchiQ[3] -> 0},
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| 288 | Value -> {zetaLchiQ[2] -> zetaLQ2},
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| 289 | InteractionOrder -> {NP,0},
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| 290 | TeX -> Subsuperscript[\[Zeta],L,Qq],
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| 291 | Description -> "SM-Q-Zp coupling vector"
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| 292 | },
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| 293 | zetaLchiL == {
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| 294 | ParameterType -> Internal,
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| 295 | Indices -> {Index[Generation]},
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| 296 | Definitions -> {zetaLchiL[1] -> 0, zetaLchiL[3] -> 0},
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| 297 | Value -> {zetaLchiL[2] -> zetaLL2},
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| 298 | InteractionOrder -> {NP,0},
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| 299 | TeX -> Subsuperscript[\[Zeta],L,Ll],
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| 300 | Description -> "SM-L-Zp coupling vector"
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| 301 | },
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| 302 | kappaLchiQ == {
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| 303 | ParameterType -> Internal,
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| 304 | Indices -> {Index[Generation]},
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| 305 | Definitions -> {kappaLchiQ[1] -> 0, kappaLchiQ[3] -> 0},
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| 306 | Value -> {kappaLchiQ[2] -> kappaLQ2},
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| 307 | InteractionOrder -> {NP,0},
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| 308 | TeX -> Subsuperscript[\[Kappa],L,Qq],
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| 309 | Description -> "SM-Q-Gp coupling vector"
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| 310 | }
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| 311 | };
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| 312 |
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| 313 |
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| 314 | (* ************************** *)
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| 315 | (* ***** Lagrangian ***** *)
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| 316 | (* ************************** *)
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| 317 |
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| 318 | LVLfermkin := Block[{mu},
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| 319 | ExpandIndices[
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| 320 | I*(chiQbar.Ga[mu].DC[chiQ, mu] + chiLbar.Ga[mu].DC[chiL, mu]),
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| 321 | FlavorExpand->{SU2W,SU2D}]
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| 322 | ];
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| 323 |
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| 324 | LU1VL := Block[{ff1,ff2,s1,s2,s3,cc1,ii1,mu},
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| 325 | ExpandIndices[
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| 326 | gU/Sqrt[2] * VLQ[mu,cc1] *
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| 327 | (
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| 328 | betaLQL * chiQbar[s1,ii1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * chiL[s3,ii1]
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| 329 | + betaRQL * chiQbar[s1,ii1,cc1] * Ga[mu,s1,s2] * ProjP[s2,s3] * chiL[s3,ii1]
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| 330 | + betaLchiL[ff1] * newCKM[ff2,ff1] * uqbar[s1,ff2,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * Ln[s3]
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| 331 | + betaLchiL[ff1] * dqbar[s1,ff1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * Le[s3]
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| 332 | + betaLchiQ[ff1] * chiQbar[s1,ii1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * LL[s3,ii1,ff1]
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| 333 | )
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| 334 | ,FlavorExpand-> SU2D]
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| 335 | ];
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| 336 |
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| 337 | LZpVL := Block[{s1,s2,s3,mu,cc1,ii1,ff1},
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| 338 | ExpandIndices[
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| 339 | gZp/(2 * Sqrt[6]) * Zp[mu] *
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| 340 | (
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| 341 | zetaLQQ * chiQbar[s1,ii1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * chiQ[s3,ii1,cc1]
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| 342 | + zetaRQQ * chiQbar[s1,ii1,cc1] * Ga[mu,s1,s2] * ProjP[s2,s3] * chiQ[s3,ii1,cc1]
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| 343 | -3 * zetaLLL * chiLbar[s1,ii1] * Ga[mu,s1,s2] * ProjM[s2,s3] * chiL[s3,ii1]
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| 344 | -3 * zetaRLL * chiLbar[s1,ii1] * Ga[mu,s1,s2] * ProjP[s2,s3] * chiL[s3,ii1]
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| 345 | )
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| 346 | ,FlavorExpand-> SU2D]
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| 347 | ];
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| 348 |
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| 349 | LZpVLMix := Block[{s1,s2,s3,mu,cc1,ii1,ff1,ff2},
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| 350 | ExpandIndices[
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| 351 | gZp/(2 * Sqrt[6]) * Zp[mu] *
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| 352 | (
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| 353 | zetaLchiQ[ff1] * HC[newCKM[ff2,ff1]] * Qubar[s1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * uq[s3,ff2,cc1]
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| 354 | + zetaLchiQ[ff1] * Qdbar[s1,cc1] * Ga[mu,s1,s2] * ProjM[s2,s3] * dq[s3,ff1,cc1]
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| 355 | -3 * zetaLchiL[ff1] * chiLbar[s1,ii1] * Ga[mu,s1,s2] * ProjM[s2,s3] * LL[s3,ii1,ff1]
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| 356 | )
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| 357 | ,FlavorExpand-> SU2D]
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| 358 | ];
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| 359 |
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| 360 | LGpVL := Block[{s1,s2,s3,aa1,cc1,cc2,mu,ii1,ff1},
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| 361 | ExpandIndices[
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| 362 | gGp * Gp[mu,aa1] *
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| 363 | (
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| 364 | kappaLQQ * chiQbar[s1,ii1,cc1] * T[aa1,cc1,cc2] * Ga[mu,s1,s2] * ProjM[s2,s3] * chiQ[s3,ii1,cc2]
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| 365 | + kappaRQQ * chiQbar[s1,ii1,cc1] * T[aa1,cc1,cc2] * Ga[mu,s1,s2] * ProjP[s2,s3] * chiQ[s3,ii1,cc2]
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| 366 | )
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| 367 | ,FlavorExpand-> SU2D]
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| 368 | ];
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| 369 |
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| 370 |
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| 371 | LGpVLMix := Block[{s1,s2,s3,aa1,cc1,cc2,mu,ff1,ff2},
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| 372 | ExpandIndices[
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| 373 | gGp * Gp[mu,aa1] *
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| 374 | (
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| 375 | kappaLchiQ[ff1] * HC[newCKM[ff2,ff1]] * Qubar[s1,cc1] * T[aa1,cc1,cc2] * Ga[mu,s1,s2] * ProjM[s2,s3] * uq[s3,ff2,cc2]
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| 376 | + kappaLchiQ[ff1] * Qdbar[s1,cc1] * T[aa1,cc1,cc2] * Ga[mu,s1,s2] * ProjM[s2,s3] * dq[s3,ff1,cc2]
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| 377 | )
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| 378 | ,FlavorExpand-> SU2D]
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| 379 | ];
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| 380 |
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| 381 | LVLferm := LVLfermkin + LU1VL + HC[LU1VL] + LZpVL + LZpVLMix + HC[LZpVLMix] + LGpVL + LGpVLMix + HC[LGpVLMix];
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