| 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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