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econte |
1.1 |
#include "Alignment/TwoBodyDecay/interface/TwoBodyDecayUncertainty.h"
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std::pair<double,double> TwoBodyDecayUncertainty::errorSecondaryMomentaP()
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{
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double p = 0;
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double m = 0;
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for (unsigned int i=0;i<9;i++)
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for (unsigned int j=0;j<9;j++)
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{
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double pd1=0; double pd2=0; double md1=0; double md2=0;
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for (unsigned int k=1;k<4;k++)
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{
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pd1 += (finalPlus_[k][0])/p_ * (finalPlusP_[i])[k][0];
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pd2 += (finalPlus_[k][0])/p_ * (finalPlusP_[j])[k][0];
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md1 += (finalMinus_[k][0])/p_ * (finalMinusP_[i])[k][0];
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md2 += (finalMinus_[k][0])/p_ * (finalMinusP_[j])[k][0];
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}
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p += pd1*pd2*covariance_[i][j];
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m += md1*md2*covariance_[i][j];
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}
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return std::make_pair(p,m);
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}
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std::pair<double,double> TwoBodyDecayUncertainty::errorSecondaryMomentaPT()
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{
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double p = 0;
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double m = 0;
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for (unsigned int i=0;i<9;i++)
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for (unsigned int j=0;j<9;j++)
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{
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double pd1=0; double pd2=0; double md1=0; double md2=0;
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for (unsigned int k=1;k<3;k++)
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{
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pd1 += (finalPlus_[k][0])/pT_ * (finalPlusP_[i])[k][0];
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pd2 += (finalPlus_[k][0])/pT_ * (finalPlusP_[j])[k][0];
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md1 += (finalMinus_[k][0])/pT_ * (finalMinusP_[i])[k][0];
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md2 += (finalMinus_[k][0])/pT_ * (finalMinusP_[j])[k][0];
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}
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p += pd1*pd2*covariance_[i][j];
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m += md1*md2*covariance_[i][j];
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}
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return std::make_pair(p,m);
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}
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void TwoBodyDecayUncertainty::init()
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{
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// Computing transverse and absolute momentum
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pT2_ = parameters_[PX]*parameters_[PX] +
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parameters_[PY]*parameters_[PY];
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p2_ = pT2_ + parameters_[PZ]*parameters_[PZ];
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pT_ = sqrt( pT2_ );
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p_ = sqrt( p2_ );
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// Calculating matrix and vector
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RotationMatrixA();
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RotationMatrixB();
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LorentzMatrix();
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Momentum();
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// Moving to lab referency
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finalPlus_ = rotationA_ * rotationB_ * lorentz_ * momentumPlus_;
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finalMinus_ = rotationA_ * rotationB_ * lorentz_ * momentumMinus_;
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// Momentum derivative in the lab referency
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finalPlusP_.resize(9);
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finalMinusP_.resize(9);
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for (unsigned int k=0;k<9;k++)
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{
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finalPlusP_[k] = rotationAp_[k]*rotationB_ *lorentz_ *momentumPlus_
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+ rotationA_ *rotationBp_[k]*lorentz_ *momentumPlus_
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+ rotationA_ *rotationB_ *lorentzP_[k]*momentumPlus_
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+ rotationA_ *rotationB_ *lorentz_ *momentumPlusP_[k];
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finalMinusP_[k] = rotationAp_[k]*rotationB_ *lorentz_ *momentumMinus_
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+ rotationA_ *rotationBp_[k]*lorentz_ *momentumMinus_
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+ rotationA_ *rotationB_ *lorentzP_[k]*momentumMinus_
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+ rotationA_ *rotationB_ *lorentz_ *momentumMinusP_[k];
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}
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}
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void TwoBodyDecayUncertainty::RotationMatrixA()
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{
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// initializing rotationA_
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rotationA_ = AlgebraicMatrix( 4, 4 );
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// calculating rotation matrix A
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double a = parameters_[PX]/pT_;
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double b = parameters_[PY]/pT_;
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rotationA_[0][0] = 1.;
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rotationA_[0][1] = 0.;
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rotationA_[0][2] = 0.;
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rotationA_[0][3] = 0.;
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rotationA_[1][0] = 0;
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rotationA_[1][1] = a;
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rotationA_[1][2] = -b;
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rotationA_[1][3] = 0;
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rotationA_[2][0] = 0;
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rotationA_[2][1] = b;
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rotationA_[2][2] = a;
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rotationA_[2][3] = 0;
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rotationA_[3][0] = 0.;
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rotationA_[3][1] = 0.;
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rotationA_[3][2] = 0.;
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rotationA_[3][3] = 1.;
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// initializing rotationAp_
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rotationAp_.resize(9);
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// calculating rotation matrix Ap
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for (unsigned int k=0;k<9;k++)
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{
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AlgebraicMatrix rot( 4, 4);
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double da=0;
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double db=0;
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if (k==PX)
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{
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da = parameters_[PY]*parameters_[PY]/(pT_*pT_*pT_);
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db = -parameters_[PX]*parameters_[PY]/(pT_*pT_*pT_);
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}
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else if (k==PY)
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{
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da = -parameters_[PX]*parameters_[PY]/(pT_*pT_*pT_);
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db = parameters_[PX]*parameters_[PX]/(pT_*pT_*pT_);
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}
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rot[0][0] = 0.;
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rot[0][1] = 0.;
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rot[0][2] = 0.;
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rot[0][3] = 0.;
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rot[1][0] = 0;
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rot[1][1] = da; //parameters_[PX]/pT;
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rot[1][2] = -db; //-parameters_[PY]/pT;
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rot[1][3] = 0;
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rot[2][0] = 0;
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rot[2][1] = db; //parameters_[PY]/pT;
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rot[2][2] = da; //parameters_[PX]/pT;
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rot[2][3] = 0;
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rot[3][0] = 0;
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rot[3][1] = 0.;
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rot[3][2] = 0.;
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rot[3][3] = 0.;
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rotationAp_[k]=rot;
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}
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}
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void TwoBodyDecayUncertainty::RotationMatrixB()
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{
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// intializing rotation matrix B
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rotationB_ = AlgebraicMatrix( 4, 4 );
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double a = parameters_[PZ]/p_;
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double b = pT_/p_;
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// computing rotation matrix B
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rotationB_[0][0] = 1.;
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rotationB_[0][1] = 0.;
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rotationB_[0][2] = 0.;
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rotationB_[0][3] = 0.;
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rotationB_[1][0] = 0.;
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rotationB_[1][1] = a;
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rotationB_[1][2] = 0.;
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rotationB_[1][3] = b;
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rotationB_[2][0] = 0.;
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rotationB_[2][1] = 0.;
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rotationB_[2][2] = 1.;
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rotationB_[2][3] = 0.;
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rotationB_[3][0] = 0.;
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rotationB_[3][1] = -b;
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rotationB_[3][2] = 0.;
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rotationB_[3][3] = a;
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// initializing rotationAp_
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rotationBp_.resize(9);
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// calculating rotation matrix Ap
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for (unsigned int k=0;k<9;k++)
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{
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AlgebraicMatrix rot( 4, 4);
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double da=0;
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double db=0;
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if (k==PX)
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{
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da = -parameters_[PX]*parameters_[PZ]/(p_*p_*p_);
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db = parameters_[PX]*parameters_[PZ]*parameters_[PZ]/(pT_*p_*p_*p_);
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}
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else if (k==PY)
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{
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da = -parameters_[PY]*parameters_[PZ]/(p_*p_*p_);
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db = parameters_[PY]*parameters_[PZ]*parameters_[PZ]/(pT_*p_*p_*p_);
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}
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else if (k==PZ)
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{
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da = b*b/p_;
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db = -a*b/p_;
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}
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rot[0][0] = 0.;
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rot[0][1] = 0.;
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rot[0][2] = 0.;
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rot[0][3] = 0.;
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rot[1][0] = 0;
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rot[1][1] = da;
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rot[1][2] = 0.;
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rot[1][3] = db;
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rot[2][0] = 0;
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rot[2][1] = 0.;
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rot[2][2] = 0.;
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rot[2][3] = 0.;
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rot[3][0] = 0;
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rot[3][1] = -db;
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rot[3][2] = 0.;
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rot[3][3] = da;
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rotationBp_[k]=rot;
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}
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}
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void TwoBodyDecayUncertainty::Momentum()
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{
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double alpha = sqrt(parameters_[MASS]*parameters_[MASS]-4.*m_*m_);
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// momentum Plus
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momentumPlus_ = AlgebraicMatrix(4,1);
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momentumMinus_ = AlgebraicMatrix(4,1);
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// computing momentum plus
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momentumPlus_[0][0] = 0.5*parameters_[MASS];
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momentumPlus_[1][0] = 0.5*alpha*sin(parameters_[THETA])*cos(parameters_[PHI]);
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momentumPlus_[2][0] = 0.5*alpha*sin(parameters_[THETA])*sin(parameters_[PHI]);
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momentumPlus_[3][0] = 0.5*alpha*cos(parameters_[THETA]);
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// initializing momentum plus
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momentumPlusP_.resize(9);
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momentumMinusP_.resize(9);
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// calculating rotation matrix Ap
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for (unsigned int k=0;k<9;k++)
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{
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AlgebraicMatrix rot(4,1);
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if (k==THETA)
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{
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rot[0][0] = 0.;
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rot[1][0] = 0.5*alpha*cos(parameters_[THETA])*cos(parameters_[PHI]);
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rot[2][0] = 0.5*alpha*cos(parameters_[THETA])*sin(parameters_[PHI]);
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rot[3][0] = -0.5*alpha*sin(parameters_[THETA]);
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}
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else if (k==PHI)
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{
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rot[0][0] = 0.;
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rot[1][0] = -0.5*alpha*sin(parameters_[THETA])*sin(parameters_[PHI]);
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rot[2][0] = 0.5*alpha*sin(parameters_[THETA])*cos(parameters_[PHI]);
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rot[3][0] = 0.;
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}
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else if (k==MASS)
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{
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double alphap = parameters_[MASS]/alpha;
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rot[0][0] = 0.5;
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rot[1][0] = 0.5*alphap*sin(parameters_[THETA])*cos(parameters_[PHI]);
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rot[2][0] = 0.5*alphap*sin(parameters_[THETA])*sin(parameters_[PHI]);
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rot[3][0] = 0.5*alphap*cos(parameters_[THETA]);
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| 281 |
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}
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| 282 |
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else
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{
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| 284 |
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rot[0][0] = 0.;
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| 285 |
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rot[1][0] = 0.;
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| 286 |
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rot[2][0] = 0.;
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| 287 |
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rot[3][0] = 0.;
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| 288 |
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}
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| 289 |
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| 290 |
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momentumPlusP_[k]=rot;
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| 291 |
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}
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| 292 |
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| 293 |
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momentumMinus_[0][0]=momentumPlus_[0][0];
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| 294 |
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for (unsigned int i=1;i<4;i++) momentumMinus_[i][0]=-momentumPlus_[i][0];
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| 295 |
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| 296 |
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for (unsigned int k=0;k<9;k++)
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| 297 |
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{
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| 298 |
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momentumMinusP_[k]=AlgebraicMatrix(4,1);
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| 299 |
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momentumMinusP_[k][0][0]=momentumPlusP_[k][0][0];
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| 300 |
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for (unsigned int i=1;i<4;i++) { momentumMinusP_[k][i][0]=-momentumPlusP_[k][i][0];}
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| 301 |
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}
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| 302 |
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}
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| 303 |
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| 304 |
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| 305 |
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| 306 |
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void TwoBodyDecayUncertainty::LorentzMatrix()
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| 307 |
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{
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| 308 |
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// initializing rotationA_
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| 309 |
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lorentz_ = AlgebraicMatrix( 4, 4 );
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| 310 |
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double a = sqrt(1+pow(p_/parameters_[MASS],2));
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| 311 |
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double b = p_/parameters_[MASS];
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| 312 |
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| 313 |
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// calculating rotation matrix A
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| 314 |
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lorentz_[0][0] = a;
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| 315 |
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lorentz_[0][1] = 0.;
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| 316 |
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lorentz_[0][2] = 0.;
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| 317 |
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lorentz_[0][3] = b;
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| 318 |
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| 319 |
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lorentz_[1][0] = 0;
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lorentz_[1][1] = 1;
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lorentz_[1][2] = 0;
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| 322 |
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lorentz_[1][3] = 0;
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| 323 |
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| 324 |
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lorentz_[2][0] = 0;
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lorentz_[2][1] = 0;
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lorentz_[2][2] = 1;
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lorentz_[2][3] = 0;
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| 328 |
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lorentz_[3][0] = b;
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lorentz_[3][1] = 0.;
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| 331 |
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lorentz_[3][2] = 0.;
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| 332 |
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lorentz_[3][3] = a;
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| 333 |
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| 334 |
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// initializing lorentz_
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| 335 |
|
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lorentzP_.resize(9);
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| 336 |
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|
| 337 |
|
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// calculating lorentz matrix
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| 338 |
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for (unsigned int k=0;k<9;k++)
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| 339 |
|
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{
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| 340 |
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AlgebraicMatrix rot(4,4);
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| 341 |
|
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double da=0;
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| 342 |
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double db=0;
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| 343 |
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|
| 344 |
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if (k==PX)
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| 345 |
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{
|
| 346 |
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da = parameters_[PX]/(parameters_[MASS]*parameters_[MASS]*a);
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| 347 |
|
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db = parameters_[PX]/(p_*parameters_[MASS]);
|
| 348 |
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}
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| 349 |
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else if (k==PY)
|
| 350 |
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{
|
| 351 |
|
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da = parameters_[PY]/(parameters_[MASS]*parameters_[MASS]*a);
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| 352 |
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db = parameters_[PY]/(p_*parameters_[MASS]);
|
| 353 |
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}
|
| 354 |
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else if (k==PZ)
|
| 355 |
|
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{
|
| 356 |
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da = parameters_[PZ]/(parameters_[MASS]*parameters_[MASS]*a);
|
| 357 |
|
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db = parameters_[PZ]/(p_*parameters_[MASS]);
|
| 358 |
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}
|
| 359 |
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else if (k==MASS)
|
| 360 |
|
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{
|
| 361 |
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da = -b*b/(a*parameters_[MASS]);
|
| 362 |
|
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db = -b/parameters_[MASS];
|
| 363 |
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}
|
| 364 |
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|
| 365 |
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rot[0][0] = da;
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| 366 |
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rot[0][1] = 0.;
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| 367 |
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rot[0][2] = 0.;
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| 368 |
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rot[0][3] = db;
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| 369 |
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|
|
| 370 |
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rot[1][0] = 0;
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| 371 |
|
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rot[1][1] = 0;
|
| 372 |
|
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rot[1][2] = 0;
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| 373 |
|
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rot[1][3] = 0;
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| 374 |
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|
|
| 375 |
|
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rot[2][0] = 0;
|
| 376 |
|
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rot[2][1] = 0;
|
| 377 |
|
|
rot[2][2] = 0;
|
| 378 |
|
|
rot[2][3] = 0;
|
| 379 |
|
|
|
| 380 |
|
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rot[3][0] = db;
|
| 381 |
|
|
rot[3][1] = 0.;
|
| 382 |
|
|
rot[3][2] = 0.;
|
| 383 |
|
|
rot[3][3] = da;
|
| 384 |
|
|
|
| 385 |
|
|
lorentzP_[k]=rot;
|
| 386 |
|
|
|
| 387 |
|
|
}
|
| 388 |
|
|
}
|
