PYTHIA
8.303

A class containing DGLAP splitting functions for limit checking. More...
#include <VinciaAntennaFunctions.h>
Public Member Functions  
DGLAP ()  
Constructor.  
double  Pg2gg (double z, int hA=9, int hB=9, int hC=9) 
DGLAP splitting functions. More...  
double  Pg2qq (double z, int hA=9, int hB=9, int hC=9, double mu=0.) 
double  Pq2qg (double z, int hA=9, int hB=9, int hC=9, double mu=0.) 
double  Pq2gq (double z, int hA=9, int hB=9, int hC=9, double mu=0.) 
double  Pg2qq (double z, double mu) 
Wrappers to get unpolarized massive AltarelliPariis kernels (mu = m/Q).  
double  Pq2qg (double z, double mu) 
double  Pq2gq (double z, double mu) 
double  Pg2ggLin (double z, int polA=9, int polB=9, int polC=9) 
Pg2ggLin, written without factor 2 normalization convention. More...  
double  Pg2qqLin (double z, int polA=9, int hB=9, int hC=9, double mu=0.) 
double  Pq2qgLin (double z, int hA=9, int hB=9, int polC=9, double mu=0.) 
double  Pq2gqLin (double z, int hA=9, int polB=9, int hC=9, double mu=0.) 
A class containing DGLAP splitting functions for limit checking.
double Pg2gg  (  double  z, 
int  hA = 9 , 

int  hB = 9 , 

int  hC = 9 

) 
DGLAP splitting functions.
Helicitydependent AltarelliParisi kernels (mu = m/Q). Note, Pg2gg is written with standard factor 2 normalization convention.
DGLAP splitting kernels with helicitydependence (from Larkoski, Peskin, http:///arxiv.org/abs/arXiv:0908.2450). Note, Pg2gg is written with the standard factor 2 normalization convention and gives a factor 2 difference with respect PYTHIA FSR. The difference is related to whether P is interpreted as the probability for gluon A to branch to BC (without factor 2), or as the probability for gluon B to have originated from A (with factor 2). Both quarks and gluons have definite helicities: 9: unpolarized +1: righthanded 1: lefthanded where z is momentum fraction taken by B in A > BC. Pg2gg, written with the standard factor 2 normalization convention.
If A unpolarized, treat as unpolarized.
Expressions coded for hA = 1. Flip helicities if hA = 1.
double Pg2ggLin  (  double  z, 
int  polA = 9 , 

int  polB = 9 , 

int  polC = 9 

) 
Pg2ggLin, written without factor 2 normalization convention.
AltarelliParisi kernels with linear in/out polarizations for gluons: pol = +1 for inplane, 1 for outofplane.
DGLAP splitting kernels with polarizationdependence (from Ellis, Stirling, Webber) Gluons are plane polarized, quarks have helicities: 9: unpolarized +1: in plane / righthanded 1: outofplane / lefthanded where z is momentum fraction taken by B in A > BC.
If A unpolarized, treat as unpolarized.
A inplane polarized.
A outofplane polarized.
double Pg2qq  (  double  z, 
int  hA = 9 , 

int  hB = 9 , 

int  hC = 9 , 

double  mu2 = 0. 

) 
Pg2qq, B is quark, C is antiquark. Note, mass corrections not implemented.
If A unpolarized, treat as unpolarized.
Preserve quark helicity.
Expressions coded for hA = 1. Flip helicities if hA = 1.
double Pg2qqLin  (  double  z, 
int  polA = 9 , 

int  hB = 9 , 

int  hC = 9 , 

double  mu = 0. 

) 
Pg2qqLin, B is quark, C is antiquark. Note, mass corrections not implemented.
If A unpolarized, treat as unpolarized.
Preserve quark helicity.
A inplane polarized.
A outofplane polarized.
double Pq2gq  (  double  z, 
int  hA = 9 , 

int  hB = 9 , 

int  hC = 9 , 

double  mu = 0. 

) 
Pq2qg, B is gluon, C is quark. Note, mass corrections not implemented for polarised.
double Pq2gqLin  (  double  z, 
int  hA = 9 , 

int  polB = 9 , 

int  hC = 9 , 

double  mu = 0. 

) 
Pq2qgLin, B is gluon, C is quark. Note, mass corrections not implemented.
double Pq2qg  (  double  z, 
int  hA = 9 , 

int  hB = 9 , 

int  hC = 9 , 

double  mu2 = 0. 

) 
Pq2qg, B is quark, C is gluon. Note, mass corrections not implemented for polarised.
If A unpolarized, treat as unpolarized.
Preserve quark helicity
Expressions coded for hA = +1. Flip helicities if hA = 1.
double Pq2qgLin  (  double  z, 
int  hA = 9 , 

int  hB = 9 , 

int  polC = 9 , 

double  mu = 0. 

) 
Pq2qgLin, B is quark, C is gluon. Note, mass corrections not implemented.
If A unpolarized, treat as unpolarized.
Preserve quark helicity.
Gluon polarized in plane.
Gluon polarized out of plane.