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added Xi-to-Sigma rare decays
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@ -1292,4 +1292,173 @@ void BaryonUtils<FImpl>::SigmaToNucleonNonEye(const PropagatorField &qq_ti,
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} );//end loop over lattice sites
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}
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/***********************************************************************
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* The following code is for Xi -> Sigma rare hypeon decays *
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**********************************************************************/
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/* Dq_loop is a quark line from t_H to t_H
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* Dd_spec is a quark line from t_i to t_f
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* Ds_spec is a quark line from t_i to t_f
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* Dd_tf is a quark line from t_f to t_H
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* Ds_ti is a quark line from t_i to t_H */
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template <class FImpl>
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template <class mobj, class mobj2, class robj>
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void BaryonUtils<FImpl>::XiToSigmaQ1EyeSite(const mobj &Dq_loop,
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const mobj2 &Dd_spec,
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const mobj2 &Ds_spec,
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const mobj &Dd_tf,
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const mobj &Ds_ti,
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const Gamma Gamma_H,
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const Gamma GammaB_xi,
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const Gamma GammaB_sigma,
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robj &result)
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{
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Gamma g5(Gamma::Algebra::Gamma5);
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auto DdG = Dd_spec * GammaB_sigma;
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auto GDs = GammaB_xi * Ds_spec;
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// Ds * \gamma_\mu^L * (\gamma_5 * Dd^\dagger * \gamma_5)
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auto DsGDd = Ds_ti * Gamma_H * g5 * adj(Dd_tf) * g5;
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// DsGDd * GammaB
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auto DsGDdG = DsGDd * GammaB_sigma;
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// GammaB * DsGDd
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auto GDsGDd = GammaB_xi * DsGDd;
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// GammaB * DsGDd * GammaB
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auto GDsGDdG = GDsGDd * GammaB_sigma;
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// \gamma_\mu^L * Dq_loop
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auto trGDq = trace(GammaH * Dq_loop);
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for (int ie_s=0; ie_s < 6 ; ie_s++){
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int a_s = epsilon[ie_s][0]; //a
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int b_s = epsilon[ie_s][1]; //b
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int c_s = epsilon[ie_s][2]; //c
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for (int ie_x=0; ie_x < 6 ; ie_x++){
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int a_x = epsilon[ie_x][0]; //a'
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int b_x = epsilon[ie_x][1]; //b'
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int c_x = epsilon[ie_x][2]; //c'
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auto ee_GD = epsilon_sgn[ie_s] * epsilon_sgn[ie_x] * trGDq;
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for (int alpha_x=0; alpha_x<Ns; alpha_x++){
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for (int beta_s=0; beta_s<Ns; beta_s++){
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auto GDsGDdG_ab_ba = GDsGDd()(alpha_x,beta_s)(b_x,a_s);
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auto Ds_ab_ab = Ds_spec()(alpha_x,beta_s)(a_x,b_s);
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auto DsGDdG_ab_aa = DsGDd()(alpha_x,beta_s)(a_x,a_s);
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auto GDs_ab_bb = GDs()(alpha_x,beta_s)(b_x,b_s);
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for (int gamma_x=0; gamma_x<Ns; gamma_x++){
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auto DdG_cb_ca = DdG()(gamma_x,beta_s)(c_x,a_s);
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for (int gamma_s=0; gamma_s<Ns; gamma_s++){
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result()(gamma_x,gamma_s)() -= ee_GD * Dd_spec()(gamma_x,gamma_s)(c_x,c_s) * GDsGDdG_ab_ba * Ds_ab_ab;
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result()(gamma_x,gamma_s)() += ee_GD * DdG_cb_ca * GDsGDd()(alpha_x,gamma_s)(b_x,c_s) * Ds_ab_ab;
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result()(gamma_x,gamma_s)() += ee_GD * Dd_spec()(gamma_x,gamma_s)(c_x,c_s) * DsGDdG_ab_aa * GDs_ab_bb;
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result()(gamma_x,gamma_s)() -= ee_GD * DdG_cb_ca * DsGDd()(alpha_x,gamma_s)(a_x,c_s) * GDs_ab_bb;
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}
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}
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}}
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}
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}
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}
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//Equivalent to "One-trace"
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/* Dq_loop is a quark line from t_H to t_H
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* Dd_spec is a quark line from t_i to t_f
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* Ds_spec is a quark line from t_i to t_f
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* Dd_tf is a quark line from t_f to t_H
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* Ds_ti is a quark line from t_i to t_H */
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template <class FImpl>
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template <class mobj, class mobj2, class robj>
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void BaryonUtils<FImpl>::XiToSigmaQ2EyeSite(const mobj &Dq_loop,
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const mobj2 &Dd_spec,
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const mobj2 &Ds_spec,
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const mobj &Dd_tf,
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const mobj &Ds_ti,
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const Gamma Gamma_H,
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const Gamma GammaB_xi,
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const Gamma GammaB_sigma,
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robj &result)
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{
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Gamma g5(Gamma::Algebra::Gamma5);
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auto DdG = Dd_spec * GammaB_sigma;
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auto GDs = GammaB_xi * Ds_spec;
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// Ds * \gamma_\mu^L * Dq_loop * \gamma_\mu^L * (\gamma_5 * Dd^\dagger * \gamma_5)
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auto DsGDqGDd = Ds_ti * Gamma_H * Dq_loop * Gamma_H * g5 * adj(Dd_tf) * g5;
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// DsGDd * GammaB
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auto DsGDqGDdG = DsGDqGDd * GammaB_sigma;
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// GammaB * DsGDd
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auto GDsGDqGDd = GammaB_xi * DsGDqGDd;
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// GammaB * DsGDd * GammaB
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auto GDsGDqGDdG = GDsGDqGDd * GammaB_sigma;
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for (int ie_s=0; ie_s < 6 ; ie_s++){
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int a_s = epsilon[ie_s][0]; //a
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int b_s = epsilon[ie_s][1]; //b
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int c_s = epsilon[ie_s][2]; //c
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for (int ie_x=0; ie_x < 6 ; ie_x++){
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int a_x = epsilon[ie_x][0]; //a'
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int b_x = epsilon[ie_x][1]; //b'
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int c_x = epsilon[ie_x][2]; //c'
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auto ee = epsilon_sgn[ie_s] * epsilon_sgn[ie_x];
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for (int alpha_x=0; alpha_x<Ns; alpha_x++){
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for (int beta_s=0; beta_s<Ns; beta_s++){
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auto GDsGDqGDdG_ab_ba = GDsGDqGDdG()(alpha_x,beta_s)(b_x,a_s);
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auto Ds_ab_ab = Ds_spec()(alpha_x,beta_s)(a_x,b_s);
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auto DsGDqGDdG_ab_aa = GDsGDqGDdG()(alpha_x,beta_s)(a_x,a_s);
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auto GDs_ab_bb = GDs()(alpha_x,beta_s)(b_x,b_s);
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for (int gamma_x=0; gamma_x<Ns; gamma_x++){
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auto DdG_cb_ca = DdG()(gamma_x, beta_s)(c_x,a_s);
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for (int gamma_s=0; gamma_s<Ns; gamma_s++){
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result()(gamma_x,gamma_s)() -= ee * Dd_spec()(gamma_x,gamma_s)(c_x,c_s) * GDsGDqGDdG_ab_ba * Ds_ab_ab;
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result()(gamma_x,gamma_s)() += ee * DdG_cb_ca * GDsGDqGDd()(alpha_x,gamma_s)(b_x,c_s) * Ds_ab_ab;
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result()(gamma_x,gamma_s)() += ee * Dd_spec()(gamma_x,gamma_s)(c_x,c_s) * DsGDqGDdG_ab_aa * GDs_ab_bb;
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result()(gamma_x,gamma_s)() -= ee * DdG_cb_ca * DsGDqGDd()(alpha_x,gamma_s)(a_x,c_s) * GDs_ab_bb;
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}}
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}}
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}
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}
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}
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template<class FImpl>
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template <class mobj>
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void BaryonUtils<FImpl>::XiToSigmaEye(const PropagatorField &qq_loop,
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const mobj &Dd_spec,
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const mobj &Ds_spec,
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const PropagatorField &qd_tf,
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const PropagatorField &qs_ti,
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const Gamma Gamma_H,
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const Gamma GammaB_xi,
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const Gamma GammaB_sigma,
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const std::string op,
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SpinMatrixField &stn_corr)
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{
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assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
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assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
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GridBase *grid = qs_ti.Grid();
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autoView( vcorr, stn_corr, CpuWrite);
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autoView( vq_loop , qq_loop, CpuRead);
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autoView( vd_tf , qd_tf, CpuRead);
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autoView( vs_ti , qs_ti, CpuRead);
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accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
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auto Dq_loop = vq_loop[ss];
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auto Dd_tf = vd_tf[ss];
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auto Ds_ti = vs_ti[ss];
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sobj result=Zero();
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if(op == "Q1"){
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XiToSigmaQ1EyeSite(Dq_loop,Dd_spec,Ds_spec,Dd_tf,Ds_ti,Gamma_H,GammaB_xi,GammaB_sigma,result);
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} else if(op == "Q2"){
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XiToSigmaQ2EyeSite(Dq_loop,Dd_spec,Ds_spec,Dd_tf,Ds_ti,Gamma_H,GammaB_xi,GammaB_sigma,result);
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} else {
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assert(0 && "Weak Operator not correctly specified");
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}
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vcorr[ss] = result;
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} );//end loop over lattice sites
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}
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NAMESPACE_END(Grid);
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