| 1 | (* ********************************************************* *)
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| 2 | (* ***** Resonance + MET: Diquark (Triplet) ***** *)
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| 3 | (* ***** ***** *)
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| 4 | (* ***** License: CC-BY 4.0 ***** *)
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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$ModelName = "Resonance + MET: Diquark (Triplet)";
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| 13 |
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| 14 | M$ModelOutputDir = "dq3_met";
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| 15 |
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| 16 | M$Information = {
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| 17 | Authors -> {"A. Kaminska", "M. de Vries"},
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| 18 | Institutions -> {"MITP, Mainz"},
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| 19 | Emails -> {"akaminsk@uni-mainz.de", "mdevrie@uni-mainz.de"},
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| 20 | Date -> {"March 2016"},
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| 21 | References -> {"http://arxiv.org/abs/1510.03434"},
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| 22 | URLs -> "http://feynrules.irmp.ucl.ac.be/wiki/SimplifiedDM",
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| 23 | Version -> "1.0"
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| 24 | };
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| 25 |
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| 26 |
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| 27 | (* ************************** *)
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| 28 | (* *** Interaction orders *** *)
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| 29 | (* ************************** *)
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| 30 |
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| 31 | M$InteractionOrderHierarchy = {
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| 32 | {QCD, 1},
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| 33 | {NP, 1},
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| 34 | {QED, 2}
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| 35 | };
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| 36 |
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| 37 |
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| 38 | (* ************************** *)
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| 39 | (* ***** Parameters ***** *)
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| 40 | (* ************************** *)
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| 41 |
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| 42 | M$Parameters = {
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| 43 | (* Dark Sector Masses *)
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| 44 | MDM == {
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| 45 | ParameterType -> External,
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| 46 | Value -> 800,
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| 47 | Description -> "DM mass",
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| 48 | TeX -> Subscript[M, DM]
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| 49 | },
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| 50 | MX == {
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| 51 | ParameterType -> External,
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| 52 | Value -> 880,
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| 53 | Description -> "X mass",
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| 54 | TeX -> Subscript[M, X]
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| 55 | },
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| 56 | MM == {
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| 57 | ParameterType -> External,
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| 58 | Value -> 600,
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| 59 | Description -> "M mass",
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| 60 | TeX -> Subscript[M, M]
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| 61 | },
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| 62 |
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| 63 | (* Dark Sector Mediator Couplings *)
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| 64 | yD == {
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| 65 | ParameterType -> External,
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| 66 | Value -> 0.1,
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| 67 | InteractionOrder -> {NP, 1},
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| 68 | Description -> "Dark Yukawa interaction",
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| 69 | TeX -> Subscript[y, D]
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| 70 | },
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| 71 |
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| 72 | (* Visible Sector Mediator Couplings *)
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| 73 | yudL == {
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| 74 | ComplexParameter -> False,
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| 75 | ParameterType -> External,
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| 76 | Indices -> {Index[Generation], Index[Generation]},
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| 77 | Definitions -> yudL[i_?NumericQ, j_?NumericQ] :> 0 /; (i =!= j),
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| 78 | Value -> {
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| 79 | yudL[1, 1] -> 0.1,
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| 80 | yudL[2, 2] -> 0.1,
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| 81 | yudL[3, 3] -> 0.1
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| 82 | },
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| 83 | InteractionOrder -> {NP, 1},
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| 84 | Description -> "Mud L Yukawa",
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| 85 | TeX -> Subsuperscript[y, ud, L]
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| 86 | },
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| 87 | yudR == {
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| 88 | ComplexParameter -> False,
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| 89 | ParameterType -> External,
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| 90 | Indices -> {Index[Generation], Index[Generation]},
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| 91 | Definitions -> yudR[i_?NumericQ, j_?NumericQ] :> 0 /; (i =!= j),
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| 92 | Value -> {
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| 93 | yudR[1, 1] -> 0.1,
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| 94 | yudR[2, 2] -> 0.1,
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| 95 | yudR[3, 3] -> 0.1
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| 96 | },
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| 97 | InteractionOrder -> {NP, 1},
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| 98 | Description -> "Mud R Yukawa",
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| 99 | TeX -> Subsuperscript[y, ud, R]
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| 100 | }
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| 101 | };
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| 102 |
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| 103 |
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| 104 | (* ************************** *)
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| 105 | (* **** Particle classes **** *)
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| 106 | (* ************************** *)
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| 107 |
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| 108 | M$ClassesDescription = {
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| 109 | (* Dark Sector Physical Fields *)
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| 110 | F[21] == {
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| 111 | ClassName -> DM,
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| 112 | SelfConjugate -> True,
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| 113 | Mass -> {MDM, Internal},
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| 114 | Width -> {WDM, 0},
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| 115 | PropagatorLabel -> "DM",
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| 116 | ParticleName -> "~DM",
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| 117 | FullName -> "DM"
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| 118 | },
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| 119 | F[22] == {
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| 120 | ClassName -> X,
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| 121 | Indices -> {Index[Colour]},
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| 122 | SelfConjugate -> False,
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| 123 | Mass -> {MX, Internal},
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| 124 | Width -> {WX, 1},
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| 125 | QuantumNumbers -> {Q -> -1/3},
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| 126 | PropagatorLabel -> "X",
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| 127 | ParticleName -> "~X",
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| 128 | AntiParticleName -> "~X~",
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| 129 | FullName -> "X"
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| 130 | },
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| 131 | S[21] == {
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| 132 | ClassName -> M,
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| 133 | Indices -> {Index[Colour]},
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| 134 | SelfConjugate -> False,
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| 135 | Mass -> {MM, Internal},
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| 136 | Width -> {WM, 1},
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| 137 | QuantumNumbers -> {Q -> -1/3},
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| 138 | PropagatorLabel -> "M",
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| 139 | ParticleName -> "M",
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| 140 | AntiParticleName -> "M~",
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| 141 | FullName -> "M"
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| 142 | },
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| 143 |
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| 144 | (* Dark Sector Unphysical Fields *)
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| 145 | F[31] == {
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| 146 | ClassName -> XUP,
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| 147 | Unphysical -> True,
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| 148 | Indices -> {Index[Colour]},
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| 149 | SelfConjugate -> False,
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| 150 | QuantumNumbers -> {Y -> -1/3},
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| 151 | Definitions -> { XUP[s1_, u1_] -> X[s1, u1] }
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| 152 | },
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| 153 | S[31] == {
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| 154 | ClassName -> MUP,
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| 155 | Unphysical -> True,
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| 156 | Indices -> {Index[Colour]},
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| 157 | SelfConjugate -> False,
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| 158 | QuantumNumbers -> {Y -> -1/3},
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| 159 | Definitions -> { MUP[c1_] -> M[c1] }
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| 160 | }
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| 161 | };
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| 162 |
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| 163 |
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| 164 | (* ************************** *)
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| 165 | (* **** Lagrangian **** *)
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| 166 | (* ************************** *)
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| 167 |
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| 168 | (* DM: Kinetic, mass and self-interaction terms *)
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| 169 | LDM := 1/2 I DMbar.Ga[mu].DC[DM, mu] - 1/2 MDM DMbar.DM;
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| 170 |
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| 171 | (* X: Kinetic, mass and self-interaction terms *)
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| 172 | LX := I XUPbar.Ga[mu].DC[XUP, mu] - MX XUPbar.XUP;
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| 173 |
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| 174 | (* M: Kinetic, mass and self-interaction terms *)
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| 175 | LM := DC[MUPbar[c1], mu] DC[MUP[c1], mu] - MM^2 MUPbar[c1] MUP[c1];
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| 176 |
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| 177 | (* Interactions: Visible sector *)
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| 178 | LVIS := Block[{c1, c2, c3, f1, f2, s1, s2, lagr},
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| 179 | lagr = Eps[c3, c1, c2] MUPbar[c3] (yudR[f1, f2] ProjP[s1, s2] + yudL[f1, f2] ProjM[s1, s2]) dqbar[s1, f1, c1].CC[uq][s2, f2, c2];
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| 180 | lagr + HC[lagr]
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| 181 | ];
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| 182 |
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| 183 | (* Interactions: Visible sector [Alternative Lagrangian Formulation] *)
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| 184 | LVISALT := Block[{c1, c2, c3, i1, i2, f1, f2, s1, lagr},
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| 185 | lagr = Eps[c3, c1, c2] MUPbar[c3] (yudL[f1, f2] dRbar[s1, f1, c1].CC[uR[s1, f2, c2]] - 1/2 yudR[f1, f2] QLbar[s1, i1, f1, c1].Eps[i1, i2].CC[QL[s1, i2, f2, c2]]);
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| 186 | lagr + HC[lagr]
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| 187 | ];
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| 188 |
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| 189 | (* Interactions: Dark sector *)
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| 190 | LDARK := Block[{s1, c1, lagr},
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| 191 | lagr = -yD XUPbar[s1, c1].DM[s1] MUP[c1];
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| 192 | lagr + HC[lagr]
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| 193 | ];
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| 194 |
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| 195 | (* Use this identifier for the global Lagrangian *)
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| 196 | LRM := LDM + LX + LM + LVIS + LDARK;
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| 197 |
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