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TwoBodyDecayDerivatives Class Reference

#include <TwoBodyDecayDerivatives.h>

Public Types

enum  { dimension = 6 }
 
enum  DerivativeParameterName {
  px = 1, py = 2, pz = 3, theta = 4,
  phi = 5, mass = 6
}
 

Public Member Functions

const std::pair< AlgebraicMatrix, AlgebraicMatrixderivatives (const TwoBodyDecay &tbd) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixderivatives (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixselectedDerivatives (const TwoBodyDecay &tbd, const std::vector< bool > &selector) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixselectedDerivatives (const TwoBodyDecayParameters &param, const std::vector< bool > &selector) const
 
 TwoBodyDecayDerivatives (double mPrimary=91.1876, double mSecondary=0.105658)
 
 ~TwoBodyDecayDerivatives ()
 

Private Member Functions

const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdm (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdphi (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdpx (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdpy (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdpz (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdtheta (const TwoBodyDecayParameters &param) const
 
const std::pair< AlgebraicMatrix, AlgebraicMatrixdqsdzi (const TwoBodyDecayParameters &param, const DerivativeParameterName &i) const
 

Private Attributes

double thePrimaryMass
 
double theSecondaryMass
 

Detailed Description

/class TwoBodyDecayDerivatives

This class provides the derivatives matrices need by the class TwoBodyDecayEstimator.

/author Edmund Widl

Definition at line 14 of file TwoBodyDecayDerivatives.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum
Enumerator
dimension 

Definition at line 16 of file TwoBodyDecayDerivatives.h.

◆ DerivativeParameterName

Constructor & Destructor Documentation

◆ TwoBodyDecayDerivatives()

TwoBodyDecayDerivatives::TwoBodyDecayDerivatives ( double  mPrimary = 91.1876,
double  mSecondary = 0.105658 
)

Definition at line 9 of file TwoBodyDecayDerivatives.cc.

◆ ~TwoBodyDecayDerivatives()

TwoBodyDecayDerivatives::~TwoBodyDecayDerivatives ( )

Definition at line 12 of file TwoBodyDecayDerivatives.cc.

12 {}

Member Function Documentation

◆ derivatives() [1/2]

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::derivatives ( const TwoBodyDecay tbd) const

Derivatives of the lab frame momenta (in cartesian representation) of the secondaries w.r.t. z=(px,py,pz,theta,phi,m).

Definition at line 14 of file TwoBodyDecayDerivatives.cc.

References TwoBodyDecay::decayParameters().

Referenced by TwoBodyDecayTrajectoryState::construct(), and TwoBodyDecayEstimator::constructMatrices().

14  {
15  return derivatives(tbd.decayParameters());
16 }
const TwoBodyDecayParameters & decayParameters(void) const
Definition: TwoBodyDecay.h:31
const std::pair< AlgebraicMatrix, AlgebraicMatrix > derivatives(const TwoBodyDecay &tbd) const

◆ derivatives() [2/2]

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::derivatives ( const TwoBodyDecayParameters param) const

Derivatives of the lab frame momenta (in cartesian representation) of the secondaries w.r.t. z=(px,py,pz,theta,phi,m).

Definition at line 18 of file TwoBodyDecayDerivatives.cc.

References dimension, dqsdm(), dqsdphi(), dqsdpx(), dqsdpy(), dqsdpz(), dqsdtheta(), mass, phi, px, py, pz, and theta.

19  {
20  // get the derivatives with respect to all parameters
21  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdpx = this->dqsdpx(param);
22  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdpy = this->dqsdpy(param);
23  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdpz = this->dqsdpz(param);
24  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdtheta = this->dqsdtheta(param);
25  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdphi = this->dqsdphi(param);
26  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdm = this->dqsdm(param);
27 
28  AlgebraicMatrix dqplusdz(3, dimension);
29  dqplusdz.sub(1, px, dqsdpx.first);
30  dqplusdz.sub(1, py, dqsdpy.first);
31  dqplusdz.sub(1, pz, dqsdpz.first);
32  dqplusdz.sub(1, theta, dqsdtheta.first);
33  dqplusdz.sub(1, phi, dqsdphi.first);
34  dqplusdz.sub(1, mass, dqsdm.first);
35 
36  AlgebraicMatrix dqminusdz(3, dimension);
37  dqminusdz.sub(1, px, dqsdpx.second);
38  dqminusdz.sub(1, py, dqsdpy.second);
39  dqminusdz.sub(1, pz, dqsdpz.second);
40  dqminusdz.sub(1, theta, dqsdtheta.second);
41  dqminusdz.sub(1, phi, dqsdphi.second);
42  dqminusdz.sub(1, mass, dqsdm.second);
43 
44  return std::make_pair(dqplusdz, dqminusdz);
45 }
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdpz(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdpy(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdphi(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdtheta(const TwoBodyDecayParameters &param) const
CLHEP::HepMatrix AlgebraicMatrix
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdm(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdpx(const TwoBodyDecayParameters &param) const

◆ dqsdm()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdm ( const TwoBodyDecayParameters param) const
private

Derivatives of the lab frame momenta of the secondaries w.r.t. the mass of the primary

Definition at line 379 of file TwoBodyDecayDerivatives.cc.

References alignmentValidation::c1, funct::cos(), callgraph::m2, SiStripOfflineCRack_cfg::p2, TwoBodyDecayParameters::phi, phi, HLT_2024v14_cff::pT2, TwoBodyDecayParameters::px, px, TwoBodyDecayParameters::py, py, TwoBodyDecayParameters::pz, pz, TwoBodyDecayModel::rotationMatrix(), ALPAKA_ACCELERATOR_NAMESPACE::brokenline::rotMat, funct::sin(), mathSSE::sqrt(), thePrimaryMass, theSecondaryMass, TwoBodyDecayParameters::theta, and theta.

Referenced by derivatives(), and dqsdzi().

380  {
381  double px = param[TwoBodyDecayParameters::px];
382  double py = param[TwoBodyDecayParameters::py];
383  double pz = param[TwoBodyDecayParameters::pz];
384  double theta = param[TwoBodyDecayParameters::theta];
385  double phi = param[TwoBodyDecayParameters::phi];
386 
387  double pT2 = px * px + py * py;
388  double p2 = pT2 + pz * pz;
389 
390  double sphi = sin(phi);
391  double cphi = cos(phi);
392  double ctheta = cos(theta);
393  double stheta = sin(theta);
394 
395  // some constants from kinematics
396  double c1 = 0.5 * thePrimaryMass / theSecondaryMass;
397  double c2 = 1. / sqrt(c1 * c1 - 1.);
398  double m2 = thePrimaryMass * thePrimaryMass;
399 
400  // derivative of the momentum of particle 1 in the primary's rest frame w.r.t.
401  // the primary's mass
402  AlgebraicMatrix dpplusdm(3, 1);
403  dpplusdm[0][0] = c2 * 0.5 * c1 * stheta * cphi;
404  dpplusdm[1][0] = c2 * 0.5 * c1 * stheta * sphi;
405  dpplusdm[2][0] = c2 * theSecondaryMass * (c1 * c1 + p2 / m2) / sqrt(p2 + m2) * ctheta;
406 
407  // derivative of the momentum of particle 2 in the primary's rest frame w.r.t.
408  // the primary's mass
409  AlgebraicMatrix dpminusdm(3, 1);
410  dpminusdm[0][0] = -dpplusdm[0][0];
411  dpminusdm[1][0] = -dpplusdm[1][0];
412  dpminusdm[2][0] = -dpplusdm[2][0];
413 
414  TwoBodyDecayModel decayModel;
415  AlgebraicMatrix rotMat = decayModel.rotationMatrix(px, py, pz);
416 
417  AlgebraicMatrix dqplusdm = rotMat * dpplusdm;
418  AlgebraicMatrix dqminusdm = rotMat * dpminusdm;
419 
420  return std::make_pair(dqplusdm, dqminusdm);
421 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
AlgebraicMatrix rotationMatrix(double px, double py, double pz)
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:23
Cos< T >::type cos(const T &t)
Definition: Cos.h:22

◆ dqsdphi()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdphi ( const TwoBodyDecayParameters param) const
private

Derivatives of the lab frame momenta of the secondaries w.r.t. the decay angle phi in the primary's rest frame.

Definition at line 340 of file TwoBodyDecayDerivatives.cc.

References alignmentValidation::c1, funct::cos(), TwoBodyDecayParameters::phi, phi, TwoBodyDecayParameters::px, px, TwoBodyDecayParameters::py, py, TwoBodyDecayParameters::pz, pz, TwoBodyDecayModel::rotationMatrix(), ALPAKA_ACCELERATOR_NAMESPACE::brokenline::rotMat, funct::sin(), mathSSE::sqrt(), thePrimaryMass, theSecondaryMass, TwoBodyDecayParameters::theta, and theta.

Referenced by derivatives(), and dqsdzi().

341  {
342  double px = param[TwoBodyDecayParameters::px];
343  double py = param[TwoBodyDecayParameters::py];
344  double pz = param[TwoBodyDecayParameters::pz];
345  double theta = param[TwoBodyDecayParameters::theta];
346  double phi = param[TwoBodyDecayParameters::phi];
347 
348  double sphi = sin(phi);
349  double cphi = cos(phi);
350  double stheta = sin(theta);
351 
352  // some constants from kinematics
353  double c1 = 0.5 * thePrimaryMass / theSecondaryMass;
354  double c2 = sqrt(c1 * c1 - 1.);
355 
356  // derivative of the momentum of particle 1 in the primary's rest frame w.r.t.
357  // phi
358  AlgebraicMatrix dpplusdphi(3, 1);
359  dpplusdphi[0][0] = -theSecondaryMass * c2 * stheta * sphi;
360  dpplusdphi[1][0] = theSecondaryMass * c2 * stheta * cphi;
361  dpplusdphi[2][0] = 0.;
362 
363  // derivative of the momentum of particle 2 in the primary's rest frame w.r.t.
364  // phi
365  AlgebraicMatrix dpminusdphi(3, 1);
366  dpminusdphi[0][0] = theSecondaryMass * c2 * stheta * sphi;
367  dpminusdphi[1][0] = -theSecondaryMass * c2 * stheta * cphi;
368  dpminusdphi[2][0] = 0.;
369 
370  TwoBodyDecayModel decayModel;
371  AlgebraicMatrix rotMat = decayModel.rotationMatrix(px, py, pz);
372 
373  AlgebraicMatrix dqplusdphi = rotMat * dpplusdphi;
374  AlgebraicMatrix dqminusdphi = rotMat * dpminusdphi;
375 
376  return std::make_pair(dqplusdphi, dqminusdphi);
377 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
AlgebraicMatrix rotationMatrix(double px, double py, double pz)
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:23
Cos< T >::type cos(const T &t)
Definition: Cos.h:22

◆ dqsdpx()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdpx ( const TwoBodyDecayParameters param) const
private

Derivatives of the lab frame momenta of the secondaries w.r.t. px of the primary particle.

Definition at line 78 of file TwoBodyDecayDerivatives.cc.

References alignmentValidation::c1, funct::cos(), AlCaHLTBitMon_ParallelJobs::p, SiStripOfflineCRack_cfg::p2, TwoBodyDecayParameters::phi, phi, BPhysicsValidation_cfi::pminus, BPhysicsValidation_cfi::pplus, pv::pT, HLT_2024v14_cff::pT2, TwoBodyDecayParameters::px, px, TwoBodyDecayParameters::py, py, TwoBodyDecayParameters::pz, pz, funct::sin(), mathSSE::sqrt(), thePrimaryMass, theSecondaryMass, TwoBodyDecayParameters::theta, and theta.

Referenced by derivatives(), and dqsdzi().

79  {
80  double px = param[TwoBodyDecayParameters::px];
81  double py = param[TwoBodyDecayParameters::py];
82  double pz = param[TwoBodyDecayParameters::pz];
83  double theta = param[TwoBodyDecayParameters::theta];
84  double phi = param[TwoBodyDecayParameters::phi];
85 
86  // compute transverse and absolute momentum
87  double pT2 = px * px + py * py;
88  double p2 = pT2 + pz * pz;
89  double pT = sqrt(pT2);
90  double p = sqrt(p2);
91 
92  double sphi = sin(phi);
93  double cphi = cos(phi);
94  double stheta = sin(theta);
95  double ctheta = cos(theta);
96 
97  // some constants from kinematics
98  double c1 = 0.5 * thePrimaryMass / theSecondaryMass;
99  double c2 = sqrt(c1 * c1 - 1.);
100  double c3 = 0.5 * c2 * ctheta / c1;
101  double c4 = sqrt(p2 + thePrimaryMass * thePrimaryMass);
102 
103  // momentum of decay particle 1 in the primary's boosted frame
104  AlgebraicMatrix pplus(3, 1);
105  pplus[0][0] = theSecondaryMass * c2 * stheta * cphi;
106  pplus[1][0] = theSecondaryMass * c2 * stheta * sphi;
107  pplus[2][0] = 0.5 * p + c3 * c4;
108 
109  // momentum of decay particle 2 in the primary's boosted frame
110  AlgebraicMatrix pminus(3, 1);
111  pminus[0][0] = -pplus[0][0];
112  pminus[1][0] = -pplus[1][0];
113  pminus[2][0] = 0.5 * p - c3 * c4;
114 
115  // derivative of rotation matrix w.r.t. px
116  AlgebraicMatrix dRotMatdpx(3, 3);
117 
118  dRotMatdpx[0][0] = pz / (pT * p) * (1. - px * px * (1. / pT2 + 1. / p2));
119  dRotMatdpx[0][1] = px * py / (pT * pT2);
120  dRotMatdpx[0][2] = (1. - px * px / p2) / p;
121 
122  dRotMatdpx[1][0] = -px * py * pz / (pT * p) * (1. / pT2 + 1. / p2);
123  dRotMatdpx[1][1] = (1. - px * px / pT2) / pT;
124  dRotMatdpx[1][2] = -px * py / (p * p2);
125 
126  dRotMatdpx[2][0] = -(1. / pT - pT / p2) * px / p;
127  dRotMatdpx[2][1] = 0.;
128  dRotMatdpx[2][2] = -px * pz / (p * p2);
129 
130  // derivative of the momentum of particle 1 in the lab frame w.r.t. px
131  double dpplusdpx = px * (0.5 / p + c3 / c4);
132 
133  AlgebraicMatrix dqplusdpx = dRotMatdpx * pplus;
134  dqplusdpx[0][0] += px * dpplusdpx / p;
135  dqplusdpx[1][0] += py * dpplusdpx / p;
136  dqplusdpx[2][0] += pz * dpplusdpx / p;
137 
138  // derivative of the momentum of particle 2 in the lab frame w.r.t. px
139  double dpminusdpx = px * (0.5 / p - c3 / c4);
140 
141  AlgebraicMatrix dqminusdpx = dRotMatdpx * pminus;
142  dqminusdpx[0][0] += px * dpminusdpx / p;
143  dqminusdpx[1][0] += py * dpminusdpx / p;
144  dqminusdpx[2][0] += pz * dpminusdpx / p;
145 
146  // return result
147  return std::make_pair(dqplusdpx, dqminusdpx);
148 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:23
Cos< T >::type cos(const T &t)
Definition: Cos.h:22

◆ dqsdpy()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdpy ( const TwoBodyDecayParameters param) const
private

Derivatives of the lab frame momenta of the secondaries w.r.t. py of the primary particle.

Definition at line 150 of file TwoBodyDecayDerivatives.cc.

References alignmentValidation::c1, funct::cos(), AlCaHLTBitMon_ParallelJobs::p, SiStripOfflineCRack_cfg::p2, TwoBodyDecayParameters::phi, phi, BPhysicsValidation_cfi::pminus, BPhysicsValidation_cfi::pplus, pv::pT, HLT_2024v14_cff::pT2, TwoBodyDecayParameters::px, px, TwoBodyDecayParameters::py, py, TwoBodyDecayParameters::pz, pz, funct::sin(), mathSSE::sqrt(), thePrimaryMass, theSecondaryMass, TwoBodyDecayParameters::theta, and theta.

Referenced by derivatives(), and dqsdzi().

151  {
152  double px = param[TwoBodyDecayParameters::px];
153  double py = param[TwoBodyDecayParameters::py];
154  double pz = param[TwoBodyDecayParameters::pz];
155  double theta = param[TwoBodyDecayParameters::theta];
156  double phi = param[TwoBodyDecayParameters::phi];
157 
158  // compute transverse and absolute momentum
159  double pT2 = px * px + py * py;
160  double p2 = pT2 + pz * pz;
161  double pT = sqrt(pT2);
162  double p = sqrt(p2);
163 
164  double sphi = sin(phi);
165  double cphi = cos(phi);
166  double stheta = sin(theta);
167  double ctheta = cos(theta);
168 
169  // some constants from kinematics
170  double c1 = 0.5 * thePrimaryMass / theSecondaryMass;
171  double c2 = sqrt(c1 * c1 - 1.);
172  double c3 = 0.5 * c2 * ctheta / c1;
173  double c4 = sqrt(p2 + thePrimaryMass * thePrimaryMass);
174 
175  // momentum of decay particle 1 in the rest frame of the primary
176  AlgebraicMatrix pplus(3, 1);
177  pplus[0][0] = theSecondaryMass * c2 * stheta * cphi;
178  pplus[1][0] = theSecondaryMass * c2 * stheta * sphi;
179  pplus[2][0] = 0.5 * p + c3 * c4;
180 
181  // momentum of decay particle 2 in the rest frame of the primary
182  AlgebraicMatrix pminus(3, 1);
183  pminus[0][0] = -pplus[0][0];
184  pminus[1][0] = -pplus[1][0];
185  pminus[2][0] = 0.5 * p - c3 * c4;
186 
187  // derivative of rotation matrix w.r.t. py
188  AlgebraicMatrix dRotMatdpy(3, 3);
189 
190  dRotMatdpy[0][0] = -px * py * pz / (pT * p) * (1. / pT2 + 1. / p2);
191  dRotMatdpy[0][1] = (py * py / pT2 - 1.) / pT;
192  dRotMatdpy[0][2] = -px * py / (p * p2);
193 
194  dRotMatdpy[1][0] = pz / (pT * p) * (1. - py * py * (1. / pT2 + 1. / p2));
195  dRotMatdpy[1][1] = -px * py / (pT * pT2);
196  dRotMatdpy[1][2] = (1. - py * py / p2) / p;
197 
198  dRotMatdpy[2][0] = -(1. / pT - pT / p2) * py / p;
199  dRotMatdpy[2][1] = 0.;
200  dRotMatdpy[2][2] = -py * pz / (p * p2);
201 
202  // derivative of the momentum of particle 1 in the lab frame w.r.t. py
203  double dpplusdpy = py * (0.5 / p + c3 / c4);
204 
205  AlgebraicMatrix dqplusdpy = dRotMatdpy * pplus;
206  dqplusdpy[0][0] += px * dpplusdpy / p;
207  dqplusdpy[1][0] += py * dpplusdpy / p;
208  dqplusdpy[2][0] += pz * dpplusdpy / p;
209 
210  // derivative of the momentum of particle 2 in the lab frame w.r.t. py
211  double dpminusdpy = py * (0.5 / p - c3 / c4);
212 
213  AlgebraicMatrix dqminusdpy = dRotMatdpy * pminus;
214  dqminusdpy[0][0] += px * dpminusdpy / p;
215  dqminusdpy[1][0] += py * dpminusdpy / p;
216  dqminusdpy[2][0] += pz * dpminusdpy / p;
217 
218  // return result
219  return std::make_pair(dqplusdpy, dqminusdpy);
220 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:23
Cos< T >::type cos(const T &t)
Definition: Cos.h:22

◆ dqsdpz()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdpz ( const TwoBodyDecayParameters param) const
private

Derivatives of the lab frame momenta of the secondaries w.r.t. pz of the primary particle.

Definition at line 222 of file TwoBodyDecayDerivatives.cc.

References alignmentValidation::c1, funct::cos(), AlCaHLTBitMon_ParallelJobs::p, SiStripOfflineCRack_cfg::p2, TwoBodyDecayParameters::phi, phi, BPhysicsValidation_cfi::pminus, BPhysicsValidation_cfi::pplus, pv::pT, HLT_2024v14_cff::pT2, TwoBodyDecayParameters::px, px, TwoBodyDecayParameters::py, py, TwoBodyDecayParameters::pz, pz, funct::sin(), mathSSE::sqrt(), thePrimaryMass, theSecondaryMass, TwoBodyDecayParameters::theta, and theta.

Referenced by derivatives(), and dqsdzi().

223  {
224  double px = param[TwoBodyDecayParameters::px];
225  double py = param[TwoBodyDecayParameters::py];
226  double pz = param[TwoBodyDecayParameters::pz];
227  double theta = param[TwoBodyDecayParameters::theta];
228  double phi = param[TwoBodyDecayParameters::phi];
229 
230  // compute transverse and absolute momentum
231  double pT2 = px * px + py * py;
232  double p2 = pT2 + pz * pz;
233  double pT = sqrt(pT2);
234  double p = sqrt(p2);
235 
236  double sphi = sin(phi);
237  double cphi = cos(phi);
238  double stheta = sin(theta);
239  double ctheta = cos(theta);
240 
241  // some constants from kinematics
242  double c1 = 0.5 * thePrimaryMass / theSecondaryMass;
243  double c2 = sqrt(c1 * c1 - 1.);
244  double c3 = 0.5 * c2 * ctheta / c1;
245  double c4 = sqrt(p2 + thePrimaryMass * thePrimaryMass);
246 
247  // momentum of decay particle 1 in the rest frame of the primary
248  AlgebraicMatrix pplus(3, 1);
249  pplus[0][0] = theSecondaryMass * c2 * stheta * cphi;
250  pplus[1][0] = theSecondaryMass * c2 * stheta * sphi;
251  pplus[2][0] = 0.5 * p + c3 * c4;
252 
253  // momentum of decay particle 2 in the rest frame of the primary
254  AlgebraicMatrix pminus(3, 1);
255  pminus[0][0] = -pplus[0][0];
256  pminus[1][0] = -pplus[1][0];
257  pminus[2][0] = 0.5 * p - c3 * c4;
258 
259  // derivative of rotation matrix w.r.t. py
260  AlgebraicMatrix dRotMatdpz(3, 3);
261 
262  dRotMatdpz[0][0] = px / (pT * p) * (1. - pz * pz / p2);
263  dRotMatdpz[0][1] = 0.;
264  dRotMatdpz[0][2] = -px * pz / (p * p2);
265 
266  dRotMatdpz[1][0] = py / (p * pT) * (1. - pz * pz / p2);
267  dRotMatdpz[1][1] = 0.;
268  dRotMatdpz[1][2] = -py * pz / (p * p2);
269 
270  dRotMatdpz[2][0] = pT * pz / (p * p2);
271  dRotMatdpz[2][1] = 0.;
272  dRotMatdpz[2][2] = (1. - pz * pz / p2) / p;
273 
274  // derivative of the momentum of particle 1 in the lab frame w.r.t. pz
275  double dpplusdpz = pz * (0.5 / p + c3 / c4);
276 
277  AlgebraicMatrix dqplusdpz = dRotMatdpz * pplus;
278  dqplusdpz[0][0] += px * dpplusdpz / p;
279  dqplusdpz[1][0] += py * dpplusdpz / p;
280  dqplusdpz[2][0] += pz * dpplusdpz / p;
281 
282  // derivative of the momentum of particle 2 in the lab frame w.r.t. pz
283  double dpminusdpz = pz * (0.5 / p - c3 / c4);
284 
285  AlgebraicMatrix dqminusdpz = dRotMatdpz * pminus;
286  dqminusdpz[0][0] += px * dpminusdpz / p;
287  dqminusdpz[1][0] += py * dpminusdpz / p;
288  dqminusdpz[2][0] += pz * dpminusdpz / p;
289 
290  // return result
291  return std::make_pair(dqplusdpz, dqminusdpz);
292 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:23
Cos< T >::type cos(const T &t)
Definition: Cos.h:22

◆ dqsdtheta()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdtheta ( const TwoBodyDecayParameters param) const
private

Derivatives of the lab frame momenta of the secondaries w.r.t. the decay angle theta in the primary's rest frame.

Definition at line 294 of file TwoBodyDecayDerivatives.cc.

References alignmentValidation::c1, funct::cos(), SiStripOfflineCRack_cfg::p2, TwoBodyDecayParameters::phi, phi, HLT_2024v14_cff::pT2, TwoBodyDecayParameters::px, px, TwoBodyDecayParameters::py, py, TwoBodyDecayParameters::pz, pz, TwoBodyDecayModel::rotationMatrix(), ALPAKA_ACCELERATOR_NAMESPACE::brokenline::rotMat, funct::sin(), mathSSE::sqrt(), thePrimaryMass, theSecondaryMass, TwoBodyDecayParameters::theta, and theta.

Referenced by derivatives(), and dqsdzi().

295  {
296  double px = param[TwoBodyDecayParameters::px];
297  double py = param[TwoBodyDecayParameters::py];
298  double pz = param[TwoBodyDecayParameters::pz];
299  double theta = param[TwoBodyDecayParameters::theta];
300  double phi = param[TwoBodyDecayParameters::phi];
301 
302  // compute transverse and absolute momentum
303  double pT2 = px * px + py * py;
304  double p2 = pT2 + pz * pz;
305 
306  double sphi = sin(phi);
307  double cphi = cos(phi);
308  double stheta = sin(theta);
309  double ctheta = cos(theta);
310 
311  // some constants from kinematics
312  double c1 = 0.5 * thePrimaryMass / theSecondaryMass;
313  double c2 = sqrt(c1 * c1 - 1.);
314  double c3 = -0.5 * c2 * stheta / c1;
315  double c4 = sqrt(p2 + thePrimaryMass * thePrimaryMass);
316 
317  // derivative of the momentum of particle 1 in the primary's rest frame w.r.t.
318  // theta
319  AlgebraicMatrix dpplusdtheta(3, 1);
320  dpplusdtheta[0][0] = theSecondaryMass * c2 * ctheta * cphi;
321  dpplusdtheta[1][0] = theSecondaryMass * c2 * ctheta * sphi;
322  dpplusdtheta[2][0] = c3 * c4;
323 
324  // derivative of the momentum of particle 2 in the primary's rest frame w.r.t.
325  // theta
326  AlgebraicMatrix dpminusdtheta(3, 1);
327  dpminusdtheta[0][0] = -theSecondaryMass * c2 * ctheta * cphi;
328  dpminusdtheta[1][0] = -theSecondaryMass * c2 * ctheta * sphi;
329  dpminusdtheta[2][0] = -c3 * c4;
330 
331  TwoBodyDecayModel decayModel;
332  AlgebraicMatrix rotMat = decayModel.rotationMatrix(px, py, pz);
333 
334  AlgebraicMatrix dqplusdtheta = rotMat * dpplusdtheta;
335  AlgebraicMatrix dqminusdtheta = rotMat * dpminusdtheta;
336 
337  return std::make_pair(dqplusdtheta, dqminusdtheta);
338 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
AlgebraicMatrix rotationMatrix(double px, double py, double pz)
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:23
Cos< T >::type cos(const T &t)
Definition: Cos.h:22

◆ dqsdzi()

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::dqsdzi ( const TwoBodyDecayParameters param,
const DerivativeParameterName i 
) const
private

Definition at line 423 of file TwoBodyDecayDerivatives.cc.

References dqsdm(), dqsdphi(), dqsdpx(), dqsdpy(), dqsdpz(), dqsdtheta(), Exception, mps_fire::i, mass, phi, px, py, pz, and theta.

Referenced by selectedDerivatives().

424  {
425  switch (i) {
427  return dqsdpx(param);
428  break;
430  return dqsdpy(param);
431  break;
433  return dqsdpz(param);
434  break;
436  return dqsdtheta(param);
437  break;
439  return dqsdphi(param);
440  break;
442  return dqsdm(param);
443  break;
444  default:
445  throw cms::Exception("BadConfig") << "@SUB=TwoBodyDecayDerivatives::dqsdzi"
446  << "no decay parameter related to selector (" << i << ").";
447  };
448 
449  return std::make_pair(AlgebraicMatrix(3, 1, 0), AlgebraicMatrix(3, 1, 0));
450 }
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdpz(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdpy(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdphi(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdtheta(const TwoBodyDecayParameters &param) const
CLHEP::HepMatrix AlgebraicMatrix
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdm(const TwoBodyDecayParameters &param) const
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdpx(const TwoBodyDecayParameters &param) const

◆ selectedDerivatives() [1/2]

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::selectedDerivatives ( const TwoBodyDecay tbd,
const std::vector< bool > &  selector 
) const

Derivatives of the lab frame momenta (in cartesian representation) of the secondaries w.r.t. the selected parameters.

Definition at line 47 of file TwoBodyDecayDerivatives.cc.

References TwoBodyDecay::decayParameters(), and collectionMerger::selector.

48  {
50 }
const TwoBodyDecayParameters & decayParameters(void) const
Definition: TwoBodyDecay.h:31
const std::pair< AlgebraicMatrix, AlgebraicMatrix > selectedDerivatives(const TwoBodyDecay &tbd, const std::vector< bool > &selector) const

◆ selectedDerivatives() [2/2]

const std::pair< AlgebraicMatrix, AlgebraicMatrix > TwoBodyDecayDerivatives::selectedDerivatives ( const TwoBodyDecayParameters param,
const std::vector< bool > &  selector 
) const

Derivatives of the lab frame momenta (in cartesian representation) of the secondaries w.r.t. the selected parameters.

Definition at line 52 of file TwoBodyDecayDerivatives.cc.

References submitPVResolutionJobs::count, dimension, dqsdzi(), Exception, mps_fire::i, and collectionMerger::selector.

53  {
54  if (selector.size() != dimension) {
55  throw cms::Exception("BadConfig") << "@SUB=TwoBodyDecayDerivatives::selectedDerivatives"
56  << "selector has bad dimension (size=" << selector.size() << ").";
57  }
58 
59  int nSelected = std::count(selector.begin(), selector.end(), true);
60  int iSelected = 1;
61 
62  AlgebraicMatrix dqplusdz(3, nSelected);
63  AlgebraicMatrix dqminusdz(3, nSelected);
64  std::pair<AlgebraicMatrix, AlgebraicMatrix> dqsdzi;
65 
66  for (unsigned int i = 1; i <= dimension; i++) {
67  if (selector[i]) {
68  dqsdzi = this->dqsdzi(param, DerivativeParameterName(i));
69  dqplusdz.sub(1, iSelected, dqsdzi.first);
70  dqminusdz.sub(1, iSelected, dqsdzi.second);
71  iSelected++;
72  }
73  }
74 
75  return std::make_pair(dqplusdz, dqminusdz);
76 }
CLHEP::HepMatrix AlgebraicMatrix
const std::pair< AlgebraicMatrix, AlgebraicMatrix > dqsdzi(const TwoBodyDecayParameters &param, const DerivativeParameterName &i) const

Member Data Documentation

◆ thePrimaryMass

double TwoBodyDecayDerivatives::thePrimaryMass
private

Definition at line 79 of file TwoBodyDecayDerivatives.h.

Referenced by dqsdm(), dqsdphi(), dqsdpx(), dqsdpy(), dqsdpz(), and dqsdtheta().

◆ theSecondaryMass

double TwoBodyDecayDerivatives::theSecondaryMass
private

Definition at line 80 of file TwoBodyDecayDerivatives.h.

Referenced by dqsdm(), dqsdphi(), dqsdpx(), dqsdpy(), dqsdpz(), and dqsdtheta().