// SigmaLeptoquark.cc is a part of the PYTHIA event generator. // Copyright (C) 2012 Torbjorn Sjostrand. // PYTHIA is licenced under the GNU GPL version 2, see COPYING for details. // Please respect the MCnet Guidelines, see GUIDELINES for details. // Function definitions (not found in the header) for the // leptoquark simulation classes. #include "SigmaLeptoquark.h" namespace Pythia8 { //========================================================================== // Sigma1ql2LeptoQuark class. // Cross section for q l -> LQ (leptoquark state). //-------------------------------------------------------------------------- // Initialize process. void Sigma1ql2LeptoQuark::initProc() { // Store LQ mass and width for propagator. mRes = particleDataPtr->m0(42); GammaRes = particleDataPtr->mWidth(42); m2Res = mRes*mRes; GamMRat = GammaRes / mRes; // Yukawa coupling strength. kCoup = settingsPtr->parm("LeptoQuark:kCoup"); // Set pointer to particle properties and decay table. LQPtr = particleDataPtr->particleDataEntryPtr(42); // Read out quark and lepton the LQ couples to. idQuark = LQPtr->channel(0).product(0); idLepton = LQPtr->channel(0).product(1); } //-------------------------------------------------------------------------- // Evaluate sigmaHat(sHat), part independent of incoming flavour. void Sigma1ql2LeptoQuark::sigmaKin() { // Incoming width for correct quark-lepton pair. widthIn = 0.25 * alpEM * kCoup * mH; // Set up Breit-Wigner. sigBW = 4. * M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) ); } //-------------------------------------------------------------------------- // Evaluate sigmaHat(sHat) for specific incoming flavours. double Sigma1ql2LeptoQuark::sigmaHat() { // Identify whether correct incoming flavours. int idLQ = 0; if (id1 == idQuark && id2 == idLepton) idLQ = 42; else if (id2 == idQuark && id1 == idLepton) idLQ = 42; else if (id1 == -idQuark && id2 == -idLepton) idLQ = -42; else if (id2 == -idQuark && id1 == -idLepton) idLQ = -42; if (idLQ == 0) return 0.; // Outgoing width and total sigma. Done. return widthIn * sigBW * LQPtr->resWidthOpen(idLQ, mH); } //-------------------------------------------------------------------------- // Select identity, colour and anticolour. void Sigma1ql2LeptoQuark::setIdColAcol() { // Flavours. int idq = (abs(id1) < 9) ? id1 : id2; int idLQ = (idq > 0) ? 42 : -42; setId( id1, id2, idLQ); // Colour flow topology. if (id1 == idq) setColAcol( 1, 0, 0, 0, 1, 0); else setColAcol( 0, 0, 1, 0, 1, 0); if (idq < 0) swapColAcol(); } //========================================================================== // Sigma2qg2LeptoQuarkl class. // Cross section for q g -> LQ l (leptoquark state). //-------------------------------------------------------------------------- // Initialize process. void Sigma2qg2LeptoQuarkl::initProc() { // Store LQ mass and width for propagator. mRes = particleDataPtr->m0(42); GammaRes = particleDataPtr->mWidth(42); m2Res = mRes*mRes; GamMRat = GammaRes / mRes; // Yukawa coupling strength. kCoup = settingsPtr->parm("LeptoQuark:kCoup"); // Read out quark and lepton the LQ couples to. ParticleDataEntry* LQPtr = particleDataPtr->particleDataEntryPtr(42); idQuark = LQPtr->channel(0).product(0); idLepton = LQPtr->channel(0).product(1); // Secondary open width fraction. openFracPos = LQPtr->resOpenFrac( 42); openFracNeg = LQPtr->resOpenFrac(-42); } //-------------------------------------------------------------------------- // Evaluate sigmaHat(sHat), part independent of incoming flavour. void Sigma2qg2LeptoQuarkl::sigmaKin() { // Evaluate cross section. sigma0 = (M_PI / sH2) * kCoup * (alpS * alpEM / 6.) * (-tH / sH) * (uH2 + s3 * s3) / pow2(uH - s3); } //-------------------------------------------------------------------------- // Evaluate sigmaHat(sHat) for specific incoming flavours. double Sigma2qg2LeptoQuarkl::sigmaHat() { // Check that correct incoming flavour. if (abs(id1) != idQuark && abs(id2) != idQuark) return 0.; // Answer, with secondary width correction. double sigma = sigma0; sigma *= (id1 == idQuark || id2 == idQuark) ? openFracPos : openFracNeg; return sigma; } //-------------------------------------------------------------------------- // Select identity, colour and anticolour. void Sigma2qg2LeptoQuarkl::setIdColAcol() { // Flavour set up for q g -> H q. int idq = (id2 == 21) ? id1 : id2; int idLQ = (idq > 0) ? 42 : -42; int idlp = (idq > 0) ? -idLepton : idLepton; setId( id1, id2, idLQ, idlp); // tH defined between f and f': must swap tHat <-> uHat if q g in. swapTU = (id2 == 21); // Colour flow topologies. Swap when antiquarks. if (id2 == 21) setColAcol( 1, 0, 2, 1, 2, 0, 0, 0); else setColAcol( 2, 1, 1, 0, 2, 0, 0, 0); if (idq < 0) swapColAcol(); } //========================================================================== // Sigma2gg2LQLQbar class. // Cross section for g g -> LQ LQbar (leptoquark state). //-------------------------------------------------------------------------- // Initialize process. void Sigma2gg2LQLQbar::initProc() { // Store LQ mass and width for propagator. mRes = particleDataPtr->m0(42); GammaRes = particleDataPtr->mWidth(42); m2Res = mRes*mRes; GamMRat = GammaRes / mRes; // Secondary open width fraction. openFrac = particleDataPtr->resOpenFrac(42, -42); } //-------------------------------------------------------------------------- // Evaluate sigmaHat(sHat), part independent of incoming flavour. void Sigma2gg2LQLQbar::sigmaKin() { // Average outgoing masses and adjust kinematics accordingly. double delta = 0.25 * pow2(s3 - s4) / sH; double m2avg = 0.5 * (s3 + s4) - delta; double tHavg = tH - delta; double uHavg = uH - delta; // Evaluate cross section. Secondary width for G*. sigma = (M_PI / sH2) * 0.5 * pow2(alpS) * ( 7. / 48. + 3. * pow2(uHavg - tHavg) / (16. * sH2) ) * ( 1. + 2. * m2avg * tHavg / pow2(tHavg - m2avg) + 2. * m2avg * uHavg / pow2(uHavg - m2avg) + 4. * m2avg * m2avg / ((tHavg - m2avg) * (uHavg - m2avg)) ); sigma *= openFrac; } //-------------------------------------------------------------------------- // Select identity, colour and anticolour. void Sigma2gg2LQLQbar::setIdColAcol() { // Flavours trivial. setId( 21, 21, 42, -42); // Colour flow topologies: random choice between two mirrors. if (rndmPtr->flat() < 0.5) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3); else setColAcol( 1, 2, 3, 1, 3, 0, 0, 2); } //========================================================================== // Sigma2qqbar2LQLQbar class. // Cross section for q qbar -> LQ LQbar (leptoquark state). //-------------------------------------------------------------------------- // Initialize process. void Sigma2qqbar2LQLQbar::initProc() { // Store LQ mass and width for propagator. mRes = particleDataPtr->m0(42); GammaRes = particleDataPtr->mWidth(42); m2Res = mRes*mRes; GamMRat = GammaRes / mRes; // Yukawa coupling strength. kCoup = settingsPtr->parm("LeptoQuark:kCoup"); // Read out quark and lepton the LQ couples to. ParticleDataEntry* LQPtr = particleDataPtr->particleDataEntryPtr(42); idQuark = LQPtr->channel(0).product(0); // Secondary open width fraction. openFrac = particleDataPtr->resOpenFrac(42, -42); } //-------------------------------------------------------------------------- // Evaluate sigmaHat(sHat), part independent of incoming flavour. void Sigma2qqbar2LQLQbar::sigmaKin() { // Average outgoing masses and adjust kinematics accordingly. double delta = 0.25 * pow2(s3 - s4) / sH; double m2avg = 0.5 * (s3 + s4) - delta; double tHavg = tH - delta; double uHavg = uH - delta; // Evaluate cross section for quark of different flavour than LQ. sigmaDiff = (M_PI / sH2) * (pow2(alpS) / 9.) * ( sH * (sH - 4. * m2avg) - pow2(uHavg - tHavg) ) / sH2; // Evaluate cross section for quark of same flavour as LQ. sigmaSame = sigmaDiff + (M_PI / sH2) * (pow2(kCoup * alpEM) / 8.) * (-sH * tHavg - pow2(m2avg-tHavg)) / pow2(tHavg) + (M_PI / sH2) * (kCoup * alpEM * alpS / 18.) * ( (m2avg - tHavg) * (uHavg - tHavg) + sH * (m2avg + tHavg) ) / (sH * tHavg); // Open fraction. sigmaDiff *= openFrac; sigmaSame *= openFrac; } //-------------------------------------------------------------------------- // Select identity, colour and anticolour. void Sigma2qqbar2LQLQbar::setIdColAcol() { // Flavours trivial. setId( id1, id2, 42, -42); // tH defined between f and LQ: must swap tHat <-> uHat if qbar q in. swapTU = (id1 < 0); // Colour flow topologies. if (id1 > 0) setColAcol( 1, 0, 0, 2, 1, 0, 0, 2); else setColAcol( 0, 2, 1, 0, 1, 0, 0, 2); } //========================================================================== } // end namespace Pythia8