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Herwig  7.1.4

This class provides the concrete implementation of the exact leading-order splitting function for $1\to 11$. More...

#include <OneOneOneSplitFn.h>

Inheritance diagram for Herwig::OneOneOneSplitFn:

Public Member Functions

 OneOneOneSplitFn ()
 The default constructor.
 
virtual bool accept (const IdList &ids) const
 Concrete implementation of the method to determine whether this splitting function can be used for a given set of particles. More...
 
virtual vector< pair< int, Complex > > generatePhiForward (const double z, const Energy2 t, const IdList &ids, const RhoDMatrix &)
 Method to calculate the azimuthal angle for forward evolution. More...
 
virtual vector< pair< int, Complex > > generatePhiBackward (const double z, const Energy2 t, const IdList &ids, const RhoDMatrix &)
 Method to calculate the azimuthal angle for backward evolution. More...
 
virtual DecayMEPtr matrixElement (const double z, const Energy2 t, const IdList &ids, const double phi, bool timeLike)
 Calculate the matrix element for the splitting. More...
 
virtual double P (const double z, const Energy2 t, const IdList &ids, const bool mass, const RhoDMatrix &rho) const
 Methods to return the splitting function. More...
 
virtual double overestimateP (const double z, const IdList &ids) const
 The concrete implementation of the overestimate of the splitting function, $P_{\rm over}$. More...
 
virtual double ratioP (const double z, const Energy2 t, const IdList &ids, const bool mass, const RhoDMatrix &rho) const
 The concrete implementation of the the ratio of the splitting function to the overestimate, i.e. More...
 
virtual double integOverP (const double z, const IdList &ids, unsigned int PDFfactor=0) const
 The concrete implementation of the indefinite integral of the overestimated splitting function, $P_{\rm over}$. More...
 
virtual double invIntegOverP (const double r, const IdList &ids, unsigned int PDFfactor=0) const
 The concrete implementation of the inverse of the indefinite integral. More...
 
- Public Member Functions inherited from Herwig::SplittingFunction
 SplittingFunction (unsigned int b)
 The default constructor. More...
 
virtual bool checkColours (const IdList &ids) const
 Method to check the colours are correct.
 
virtual void colourConnection (tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second, ShowerPartnerType partnerType, const bool back) const
 Purely virtual method which should make the proper colour connection between the emitting parent and the branching products. More...
 
bool angularOrdered () const
 Whether or not the interaction is angular ordered.
 
bool pTScale () const
 Scale choice.
 
ShowerInteraction interactionType () const
 Methods to return the interaction type and order for the splitting function. More...
 
unsigned int interactionOrder () const
 Return the order of the splitting function in the interaction.
 
ColourStructure colourStructure () const
 Return the colour structure.
 
double colourFactor (const IdList &ids) const
 Return the colour factor.
 
void evaluateFinalStateScales (ShowerPartnerType type, Energy scale, double z, tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second)
 Functions to state scales after branching happens. More...
 
void evaluateInitialStateScales (ShowerPartnerType type, Energy scale, double z, tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second)
 Sort out scales for initial-state emission.
 
void evaluateDecayScales (ShowerPartnerType type, Energy scale, double z, tShowerParticlePtr parent, tShowerParticlePtr first, tShowerParticlePtr second)
 Sort out scales for decay emission.
 
void persistentOutput (PersistentOStream &os) const
 Function used to write out object persistently. More...
 
void persistentInput (PersistentIStream &is, int version)
 Function used to read in object persistently. More...
 
- Public Member Functions inherited from ThePEG::Interfaced
virtual bool defaultInit ()
 
PPtr getParticle (PID) const
 
PDPtr getParticleData (PID) const
 
bool used () const
 
void useMe () const
 
tEGPtr generator () const
 
void persistentOutput (PersistentOStream &os) const
 
void persistentInput (PersistentIStream &is, int version)
 
PPtr getParticle (PID) const
 
PDPtr getParticleData (PID) const
 
bool used () const
 
void useMe () const
 
tEGPtr generator () const
 
void persistentOutput (PersistentOStream &os) const
 
void persistentInput (PersistentIStream &is, int version)
 
- Public Member Functions inherited from ThePEG::InterfacedBase
string fullName () const
 
string name () const
 
string path () const
 
string comment () const
 
void setup (istream &is)
 
virtual void debugme () const
 
void update ()
 
void init ()
 
virtual bool preInitialize () const
 
void initrun ()
 
void finish ()
 
void touch ()
 
void reset ()
 
void clear ()
 
InitState state () const
 
bool locked () const
 
bool touched () const
 
void persistentOutput (PersistentOStream &os) const
 
void persistentInput (PersistentIStream &is, int version)
 
void update ()
 
void init ()
 
virtual bool preInitialize () const
 
void initrun ()
 
void finish ()
 
void touch ()
 
void reset ()
 
void clear ()
 
InitState state () const
 
bool locked () const
 
bool touched () const
 
void persistentOutput (PersistentOStream &os) const
 
void persistentInput (PersistentIStream &is, int version)
 
- Public Member Functions inherited from ThePEG::Base
void debug () const
 
- Public Member Functions inherited from ThePEG::Pointer::ReferenceCounted
CounterType referenceCount () const
 
- Public Member Functions inherited from ThePEG::Named
 Named (const string &newName=string())
 
const string & name () const
 
bool operator== (const Named &other) const
 
bool operator< (const Named &other) const
 

Static Public Member Functions

static void Init ()
 The standard Init function used to initialize the interfaces. More...
 
- Static Public Member Functions inherited from Herwig::SplittingFunction
static void Init ()
 The standard Init function used to initialize the interfaces. More...
 
- Static Public Member Functions inherited from ThePEG::Interfaced
static void Init ()
 
- Static Public Member Functions inherited from ThePEG::InterfacedBase
static void Init ()
 
- Static Public Member Functions inherited from ThePEG::Base
static void Init ()
 

Protected Member Functions

Clone Methods.
virtual IBPtr clone () const
 Make a simple clone of this object. More...
 
virtual IBPtr fullclone () const
 Make a clone of this object, possibly modifying the cloned object to make it sane. More...
 
- Protected Member Functions inherited from Herwig::SplittingFunction
void colourFactor (double in)
 Set the colour factor.
 
virtual void doinit ()
 Initialize this object after the setup phase before saving an EventGenerator to disk. More...
 
- Protected Member Functions inherited from ThePEG::Interfaced
void reporeg (IBPtr object, string name) const
 
bool setDefaultReference (PtrT &ptr, string classname, string objectname)
 
 Interfaced (const string &newName)
 
 Interfaced (const Interfaced &i)
 
void setGenerator (tEGPtr generator)
 
- Protected Member Functions inherited from ThePEG::InterfacedBase
 InterfacedBase (string newName)
 
 InterfacedBase (const InterfacedBase &i)
 
virtual void readSetup (istream &is)
 
virtual void doupdate ()
 
virtual void doinitrun ()
 
virtual void dofinish ()
 
virtual IVector getReferences ()
 
virtual void rebind (const TranslationMap &)
 
virtual void readSetup (istream &is)
 
virtual void doupdate ()
 
virtual void doinitrun ()
 
virtual void dofinish ()
 
virtual IVector getReferences ()
 
virtual void rebind (const TranslationMap &)
 
- Protected Member Functions inherited from ThePEG::Pointer::ReferenceCounted
 ReferenceCounted (const ReferenceCounted &)
 
ReferenceCountedoperator= (const ReferenceCounted &)
 
 ReferenceCounted (const ReferenceCounted &)
 
ReferenceCountedoperator= (const ReferenceCounted &)
 
- Protected Member Functions inherited from ThePEG::Named
const Namedoperator= (const Named &other)
 
const string & name (const string &newName)
 

Private Member Functions

OneOneOneSplitFnoperator= (const OneOneOneSplitFn &)
 The assignment operator is private and must never be called. More...
 

Additional Inherited Members

- Public Types inherited from ThePEG::InterfacedBase
enum  InitState
 
- Public Types inherited from ThePEG::Pointer::ReferenceCounted
typedef unsigned int CounterType
 
- Public Attributes inherited from ThePEG::InterfacedBase
 initializing
 
 uninitialized
 
 initialized
 
 runready
 
- Public Attributes inherited from ThePEG::Pointer::ReferenceCounted
const unsigned long uniqueId
 
- Static Protected Member Functions inherited from ThePEG::Interfaced
static void registerRepository (IBPtr)
 
static void registerRepository (IBPtr, string newName)
 

Detailed Description

This class provides the concrete implementation of the exact leading-order splitting function for $1\to 11$.

In this case the splitting function is given by

\[P(z) =2C*\left(\frac{z}{1-z}+\frac{1-z}{z}+z(1-z)\right),\]

where $C=$ is the corresponding colour factor. Our choice for the overestimate is

\[P_{\rm over}(z) = 2C\left(\frac1z+\frac1{1-z}\right),\]

therefore the integral is

\[\int P_{\rm over}(z) {\rm d}z =2C\ln\left(\frac{z}{1-z}\right),\]

and its inverse is

\[\frac{\exp\left(\frac{r}{2C}\right)}{(1+\exp\left(\frac{r}{2C}\right)}\]

See also
The interfaces defined for OneOneOneSplitFn.

Definition at line 40 of file OneOneOneSplitFn.h.

Member Function Documentation

◆ accept()

virtual bool Herwig::OneOneOneSplitFn::accept ( const IdList ids) const
virtual

Concrete implementation of the method to determine whether this splitting function can be used for a given set of particles.

Parameters
idsThe PDG codes for the particles in the splitting.

Implements Herwig::SplittingFunction.

◆ clone()

virtual IBPtr Herwig::OneOneOneSplitFn::clone ( ) const
inlineprotectedvirtual

Make a simple clone of this object.

Returns
a pointer to the new object.

Implements ThePEG::InterfacedBase.

Definition at line 168 of file OneOneOneSplitFn.h.

◆ fullclone()

virtual IBPtr Herwig::OneOneOneSplitFn::fullclone ( ) const
inlineprotectedvirtual

Make a clone of this object, possibly modifying the cloned object to make it sane.

Returns
a pointer to the new object.

Reimplemented from ThePEG::InterfacedBase.

Definition at line 174 of file OneOneOneSplitFn.h.

◆ generatePhiBackward()

virtual vector<pair<int,Complex> > Herwig::OneOneOneSplitFn::generatePhiBackward ( const double  z,
const Energy2  t,
const IdList ids,
const RhoDMatrix  
)
virtual

Method to calculate the azimuthal angle for backward evolution.

Parameters
zThe energy fraction
tThe scale $t=2p_j\cdot p_k$.
idsThe PDG codes for the particles in the splitting.
Theazimuthal angle, $\phi$.
Returns
The weight

Implements Herwig::SplittingFunction.

◆ generatePhiForward()

virtual vector<pair<int,Complex> > Herwig::OneOneOneSplitFn::generatePhiForward ( const double  z,
const Energy2  t,
const IdList ids,
const RhoDMatrix  
)
virtual

Method to calculate the azimuthal angle for forward evolution.

Parameters
zThe energy fraction
tThe scale $t=2p_j\cdot p_k$.
idsThe PDG codes for the particles in the splitting.
Theazimuthal angle, $\phi$.
Returns
The weight

Implements Herwig::SplittingFunction.

◆ Init()

static void Herwig::OneOneOneSplitFn::Init ( )
static

The standard Init function used to initialize the interfaces.

Called exactly once for each class by the class description system before the main function starts or when this class is dynamically loaded.

◆ integOverP()

virtual double Herwig::OneOneOneSplitFn::integOverP ( const double  z,
const IdList ids,
unsigned int  PDFfactor = 0 
) const
virtual

The concrete implementation of the indefinite integral of the overestimated splitting function, $P_{\rm over}$.

Parameters
zThe energy fraction.
idsThe PDG codes for the particles in the splitting.
PDFfactorWhich additional factor to include for the PDF 0 is no additional factor, 1 is $1/z$, 2 is $1/(1-z)$ and 3 is $1/z/(1-z)$

Implements Herwig::SplittingFunction.

◆ invIntegOverP()

virtual double Herwig::OneOneOneSplitFn::invIntegOverP ( const double  r,
const IdList ids,
unsigned int  PDFfactor = 0 
) const
virtual

The concrete implementation of the inverse of the indefinite integral.

Parameters
rValue of the splitting function to be inverted
idsThe PDG codes for the particles in the splitting.
PDFfactorWhich additional factor to include for the PDF 0 is no additional factor, 1 is $1/z$, 2 is $1/(1-z)$ and 3 is $1/z/(1-z)$

Implements Herwig::SplittingFunction.

◆ matrixElement()

virtual DecayMEPtr Herwig::OneOneOneSplitFn::matrixElement ( const double  z,
const Energy2  t,
const IdList ids,
const double  phi,
bool  timeLike 
)
virtual

Calculate the matrix element for the splitting.

Parameters
zThe energy fraction
tThe scale $t=2p_j\cdot p_k$.
idsThe PDG codes for the particles in the splitting.
Theazimuthal angle, $\phi$.

Implements Herwig::SplittingFunction.

◆ operator=()

OneOneOneSplitFn& Herwig::OneOneOneSplitFn::operator= ( const OneOneOneSplitFn )
private

The assignment operator is private and must never be called.

In fact, it should not even be implemented.

◆ overestimateP()

virtual double Herwig::OneOneOneSplitFn::overestimateP ( const double  z,
const IdList ids 
) const
virtual

The concrete implementation of the overestimate of the splitting function, $P_{\rm over}$.

Parameters
zThe energy fraction.
idsThe PDG codes for the particles in the splitting.

Implements Herwig::SplittingFunction.

◆ P()

virtual double Herwig::OneOneOneSplitFn::P ( const double  z,
const Energy2  t,
const IdList ids,
const bool  mass,
const RhoDMatrix rho 
) const
virtual

Methods to return the splitting function.

The concrete implementation of the splitting function, $P(z,t)$.

Parameters
zThe energy fraction.
tThe scale.
idsThe PDG codes for the particles in the splitting.
massWhether or not to include the mass dependent terms
rhoThe spin density matrix

Implements Herwig::SplittingFunction.

◆ ratioP()

virtual double Herwig::OneOneOneSplitFn::ratioP ( const double  z,
const Energy2  t,
const IdList ids,
const bool  mass,
const RhoDMatrix rho 
) const
virtual

The concrete implementation of the the ratio of the splitting function to the overestimate, i.e.

$P(z,t)/P_{\rm over}(z)$.

Parameters
zThe energy fraction.
tThe scale.
idsThe PDG codes for the particles in the splitting.
massWhether or not to include the mass dependent terms
rhoThe spin density matrix

Implements Herwig::SplittingFunction.


The documentation for this class was generated from the following file: