| 1 |
|
|---|
| 2 | M$ModelName = "Triplet_Diquarks";
|
|---|
| 3 |
|
|---|
| 4 | (*
|
|---|
| 5 |
|
|---|
| 6 | The convention and notations follow 0909.2666
|
|---|
| 7 | We also allow for non intergeneration couplings between quarks.
|
|---|
| 8 | The mixing matrices are however implemented in general, and put diagonal via the independent
|
|---|
| 9 | restriction file
|
|---|
| 10 |
|
|---|
| 11 | MFV.rst
|
|---|
| 12 |
|
|---|
| 13 | The new particles are
|
|---|
| 14 |
|
|---|
| 15 | trip1 = (6, 1, -1/3)
|
|---|
| 16 |
|
|---|
| 17 | *)
|
|---|
| 18 |
|
|---|
| 19 | M$Information = {Authors -> {"C. Duhr"},
|
|---|
| 20 | Version -> "1.0",
|
|---|
| 21 | Date -> "27. 10. 2010",
|
|---|
| 22 | Institutions -> {"IPPP, Durham"},
|
|---|
| 23 | Emails -> {"claude.duhr@durham.ac.uk"}};
|
|---|
| 24 |
|
|---|
| 25 |
|
|---|
| 26 | (* Coupling matrices are symmetric *)
|
|---|
| 27 |
|
|---|
| 28 |
|
|---|
| 29 | SetAttributes[LQQR, Orderless];
|
|---|
| 30 | SetAttributes[LUDL, Orderless];
|
|---|
| 31 | SetAttributes[LUUL, Orderless];
|
|---|
| 32 | SetAttributes[LDDL, Orderless];
|
|---|
| 33 |
|
|---|
| 34 | M$Parameters = {
|
|---|
| 35 |
|
|---|
| 36 | LQQRR == {Indices -> {Index[Generation], Index[Generation]},
|
|---|
| 37 | Value -> {LQQRR[1,1] -> 0.1,
|
|---|
| 38 | LQQRR[2,2] -> 0.1,
|
|---|
| 39 | LQQRR[3,3] -> 0.1,
|
|---|
| 40 | LQQRR[i_, j_] :> 0 /; NumericQ[i] && NumericQ[j] && (i !=j)},
|
|---|
| 41 | InteractionOrder -> {QCD, 1},
|
|---|
| 42 | ParameterType -> External,
|
|---|
| 43 | ComplexParameter -> False
|
|---|
| 44 | },
|
|---|
| 45 |
|
|---|
| 46 | LQQRI == {Indices -> {Index[Generation], Index[Generation]},
|
|---|
| 47 | Value -> {LQQRI[_,_] -> 0},
|
|---|
| 48 | InteractionOrder -> {QCD, 1},
|
|---|
| 49 | ParameterType -> External,
|
|---|
| 50 | ComplexParameter -> False
|
|---|
| 51 | },
|
|---|
| 52 |
|
|---|
| 53 | LUDLR == {Indices -> {Index[Generation], Index[Generation]},
|
|---|
| 54 | Value -> {LUDLR[1,1] -> 0.1,
|
|---|
| 55 | LUDLR[2,2] -> 0.1,
|
|---|
| 56 | LUDLR[3,3] -> 0.1,
|
|---|
| 57 | LUDLR[i_, j_] :> 0 /; NumericQ[i] && NumericQ[j] && (i !=j)},
|
|---|
| 58 | InteractionOrder -> {QCD, 1},
|
|---|
| 59 | ParameterType -> External,
|
|---|
| 60 | ComplexParameter -> False
|
|---|
| 61 | },
|
|---|
| 62 |
|
|---|
| 63 | LUDLI == {Indices -> {Index[Generation], Index[Generation]},
|
|---|
| 64 | Value -> {LUDLI[_,_] -> 0},
|
|---|
| 65 | InteractionOrder -> {QCD, 1},
|
|---|
| 66 | ParameterType -> External,
|
|---|
| 67 | ComplexParameter -> False
|
|---|
| 68 | },
|
|---|
| 69 |
|
|---|
| 70 |
|
|---|
| 71 |
|
|---|
| 72 | LHS1 == {InteractionOrder -> {QED, 2},
|
|---|
| 73 | Value -> 1,
|
|---|
| 74 | ParameterType -> External
|
|---|
| 75 | },
|
|---|
| 76 |
|
|---|
| 77 | LSS11 == {InteractionOrder -> {QCD, 2},
|
|---|
| 78 | Value -> 1,
|
|---|
| 79 | ParameterType -> External
|
|---|
| 80 | },
|
|---|
| 81 |
|
|---|
| 82 |
|
|---|
| 83 | (* Internal parameters *)
|
|---|
| 84 |
|
|---|
| 85 | LQQR == {Indices -> {Index[Generation], Index[Generation]},
|
|---|
| 86 | Value -> {LQQR[i_,j_] :> LQQRR[i,j] + I LQQRI[i,j]},
|
|---|
| 87 | InteractionOrder -> {QCD, 1},
|
|---|
| 88 | ComplexParameter -> True
|
|---|
| 89 | },
|
|---|
| 90 |
|
|---|
| 91 | LUDL == {Indices -> {Index[Generation], Index[Generation]},
|
|---|
| 92 | Value -> {LUDL[i_,j_] :> LUDLR[i,j] + I LUDLI[i,j]},
|
|---|
| 93 | InteractionOrder -> {QCD, 1},
|
|---|
| 94 | ComplexParameter -> True
|
|---|
| 95 | }
|
|---|
| 96 | };
|
|---|
| 97 |
|
|---|
| 98 | M$ClassesDescription = {
|
|---|
| 99 |
|
|---|
| 100 | S[100] == {
|
|---|
| 101 | ClassName -> trip1,
|
|---|
| 102 | SelfConjugate -> False,
|
|---|
| 103 | Indices -> {Index[Colour]},
|
|---|
| 104 | Mass -> {Mtrip1, 500},
|
|---|
| 105 | Width -> {Wtrip1, 4.4108},
|
|---|
| 106 | QuantumNumbers -> {Q -> -1/3, Y -> -1/3}
|
|---|
| 107 | }
|
|---|
| 108 | };
|
|---|
| 109 |
|
|---|
| 110 |
|
|---|
| 111 | (* the Lagrangian *)
|
|---|
| 112 |
|
|---|
| 113 |
|
|---|
| 114 | LTripKin := DC[trip1bar[k], mu]DC[trip1[k],mu] - Mtrip1^2 trip1bar[k]trip1[k];
|
|---|
| 115 |
|
|---|
| 116 | LD11 := 2 (Eps[k,i,j] trip1bar[k] LQQR[n,m] ProjP[s,r] dqbar[s,n,i].CC[uq][r,m,j] +
|
|---|
| 117 | Eps[k,i,j] trip1bar[k] LUDL[n,m] ProjM[s,r] dqbar[s,n,i].CC[uq][r,m,j]);
|
|---|
| 118 |
|
|---|
| 119 | LD1 := LD11 + HC[LD11];
|
|---|
| 120 |
|
|---|
| 121 | LPot := ExpandIndices[LHS1 Phibar[ii] Phi[ii] trip1bar[k]trip1[k] +
|
|---|
| 122 | LSS11 trip1bar[k1]trip1[k1]trip1bar[k2]trip1[k2], FlavorExpand->{SU2W,SU2D}];
|
|---|
| 123 |
|
|---|
| 124 | LTrip := LTripKin + LD1 + LPot;
|
|---|
| 125 |
|
|---|
| 126 |
|
|---|
| 127 |
|
|---|
| 128 |
|
|---|
| 129 |
|
|---|
| 130 |
|
|---|