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ThePEG  2.1.4
ThePEG::Helicity Namespace Reference

The Helicity namespace contains classes for spin representation classes in ThePEG. More...

Namespaces

 VertexType
 Namespace for naming of vertices.
 

Classes

class  AbstractFFSVertex
 The AbstractFFSVertex class provides a base class for all fermion-fermion-scalar vertices in ThePEG. More...
 
class  AbstractFFTVertex
 The AbstractFFTVertex class is the base class for all fermion-fermion-tensor interactions in ThePEG. More...
 
class  AbstractFFVTVertex
 The AbstractFFVTVertex class is the base class for all fermion-fermion-vector-tensor interactions in ThePEG. More...
 
class  AbstractFFVVertex
 The AbstractFFVVertex class provides a base class for all fermion-fermion-vector vertices in ThePEG. More...
 
class  AbstractRFSVertex
 The AbstractRFSVertex class provides a base class for all spin-3/2 fermion-fermion-scalar vertices in ThePEG. More...
 
class  AbstractRFVVertex
 The AbstractRFVVertex class provides a base class for all spin-3/2 fermion-fermion-vector vertices in ThePEG. More...
 
class  AbstractSSSSVertex
 The AbstractSSSSVertex class is the base class for all scalar-scalar-scalar interactions in ThePEG. More...
 
class  AbstractSSSVertex
 The AbstractSSSVertex class is the base class for all scalar-scalar-scalar interactions in ThePEG. More...
 
class  AbstractSSTVertex
 The AbstractSSTVertex class is the base class for scalar-scalar-tensor interactions in ThePEG. More...
 
class  AbstractVSSVertex
 The AbstractVSSVertex class is the base class for vector-scalar-scalar interactions in ThePEG. More...
 
class  AbstractVVSSVertex
 The AbstractVVSSVertex class is the base class for vector-vector-scalar-scalar interactions in ThePEG. More...
 
class  AbstractVVSVertex
 Here is the documentation of the AbstractVVSVertex class. More...
 
class  AbstractVVTVertex
 Here is the documentation of the AbstractVVTVertex class. More...
 
class  AbstractVVVSVertex
 The AbstractVVVSVertex class provides the base class for all vector-vector-vector interactions in ThePEG. More...
 
class  AbstractVVVTVertex
 The AbstractVVVTVertex class is the base class for all vector-vector-vector-tensor interactions in ThePEG. More...
 
class  AbstractVVVVertex
 The AbstractVVVVertex class provides the base class for all vector-vector-vector interactions in ThePEG. More...
 
class  AbstractVVVVVertex
 The AbstractVVVVVertex class is the base class for vector-vector-vector-vector interactions in ThePEG. More...
 
class  FermionSpinInfo
 The FermionSpinInfo class inherits from the SpinInfo class and implements the storage of the basis vectors for a spin-1/2 particle. More...
 
class  FFSVertex
 The FFSVertex class is the implementation of the interact of a scalar boson and a fermion-antifermion pair. More...
 
class  FFTVertex
 The FFTVertex class is the implementation of the fermion-fermion-tensor vertex. More...
 
class  FFVTVertex
 The FFVTVertex class is the implementation of the fermion-fermion–vector-tensor vertex. More...
 
class  FFVVertex
 The FFVVertex class is the base class for all helicity amplitude vertices which use the renormalisable form for the fermion-fermion-vector vertex. More...
 
class  GeneralFFVVertex
 The GeneralFFVVertex class is the base class for all helicity amplitude vertices which use a general form of the fermion-fermion-vector vertex. More...
 
class  GeneralVSSVertex
 Here is the documentation of the GeneralVSSVertex class. More...
 
class  GeneralVVSVertex
 The GeneralVVSVertex class implements a general Vector-Vector-Scalar vertex allowing for decay modes that only enter at the one-loop level. More...
 
class  LorentzRSSpinor
 The LorentzRSSpinor class is designed to store a Rarita-Schwinger spinor for a spin-3/2 particle. More...
 
class  LorentzRSSpinorBar
 The LorentzRSSpinorBar class implements the storage of a barred Lorentz Rarita-Schwinger Spinor for a spin-3/2 particle. More...
 
class  LorentzSpinor
 The LorentzSpinor class is designed to store a spinor. More...
 
class  LorentzSpinorBar
 The LorentzSpinorBar class implements the storage of a barred LorentzSpinor. More...
 
class  LorentzTensor
 The LorentzTensor class is designed to implement the storage of a complex tensor to be used to representation the wavefunction of a spin-2 particle. More...
 
class  RFSVertex
 The RFSVertex class is the implementation of the interact of a scalar boson and a spin-3/2 fermion-antifermion pair. More...
 
class  RFVVertex
 The RFVVertex class is the base class for all helicity amplitude vertices which use the renormalisable form for the spin-3/2 fermion-fermion-vector vertex. More...
 
class  RSFermionSpinInfo
 The RSFermionSpinInfo class inherits from the SpinInfo class and implements the storage of the basis vector for a spin-3/2 particle. More...
 
class  RSSpinorBarWaveFunction
 The RSSpinorBarWaveFunction class is designed to store the wavefunction of a spin- $\frac32$ particle in a form suitable for use in helicity amplitude calculations of the matrix element using a similar philosophy to the FORTRAN HELAS code. More...
 
class  RSSpinorWaveFunction
 The RSSpinorWaveFunction class is designed to store the wavefunction of a spin-3/2 particle in a form suitable for use in helicity amplitude calculations of the matrix element using a similar philosophy to the FORTRAN HELAS code. More...
 
class  ScalarSpinInfo
 The ScalarSpinInfo class is designed to be the implementation of the spin information for a scalar particle. More...
 
class  ScalarWaveFunction
 
class  SpinorBarWaveFunction
 
class  SpinorWaveFunction
 
class  SSSSVertex
 The SSSSVertex class is the implementation of the interaction of four scalars. More...
 
class  SSSVertex
 The SSSVertex class is the implementation of the interaction of three scalars. More...
 
class  SSTVertex
 The VVTVertexclass is the implementation of the scalar-scalar-tensor vertex. More...
 
class  TensorSpinInfo
 The TensorSpinInfo class is the implementation of the spin information for tensor particles. More...
 
class  TensorWaveFunction
 
class  VectorSpinInfo
 The VectorSpinInfo class is the implementation of the spin information for vector particles. More...
 
class  VectorWaveFunction
 
class  VertexBase
 The VertexBase class is the base class for all helicity amplitude vertices. More...
 
class  VSSVertex
 The VSSVertex class is the implementation of the vector-scalar-scalar vertex. More...
 
class  VVSSVertex
 The VVSSVertex class is the implementation of the coupling of two vectors and two scalars. More...
 
class  VVSVertex
 The VVSVertex class is the implementation of the vector-vector-scalar. More...
 
class  VVTVertex
 The VVTVertex class is the implementation of the vector-vector-tensor vertex. More...
 
class  VVVSVertex
 The VVVSVertex class is the base class for triple vector scalar vertices. More...
 
class  VVVTVertex
 The VVTVertex class is the implementation of the vector-vector-vector-tensor vertex. More...
 
class  VVVVertex
 The VVVVertex class is the base class for triple vector vertices using the perturbative form. More...
 
class  VVVVVertex
 This is the implementation of the four vector vertex. More...
 
class  WaveFunctionBase
 

Typedefs

typedef LorentzVector< complex< double > > LorentzPolarizationVector
 Convenience typedef.
 
typedef LorentzVector< complex< Energy > > LorentzPolarizationVectorE
 Convenience typedef.
 

Enumerations

enum  SpinorType { SpinorType::u, SpinorType::v, SpinorType::unknown }
 Enumeration to specify spinor type. More...
 
enum  TensorPhase { tensor_phase, tensor_nophase, default_tensor_phase =tensor_nophase }
 Definition of the enumerated values of the phase to include in the calculation of the polarization tensor. More...
 
enum  VectorPhase { vector_phase, vector_nophase, default_vector_phase =vector_nophase }
 Definition of the enumerated values of the phase to include in the calculation of the polarization vector. More...
 
enum  Direction { incoming, outgoing, intermediate }
 Definition of the enumerated values used for the direction of the particles in the calculation of the wavefunction. More...
 

Functions

template<typename A , typename B , typename C >
auto epsilon (const LorentzVector< A > &a, const LorentzVector< B > &b, const LorentzVector< C > &c) -> LorentzVector< decltype(a.x() *b.y() *c.z())>
 Return the product $\epsilon^{\mu\alpha\beta\gamma}v_{1\alpha}v_{2\beta}v_{3\gamma}$. More...
 
template<typename T , typename U >
auto operator* (complex< U > a, const LorentzTensor< T > &t) -> LorentzTensor< decltype(a.real() *t.xx().real())>
 Multiplication by a complex number.
 
template<typename T , typename U >
auto operator* (const LorentzVector< U > &v, const LorentzTensor< T > &t) -> LorentzVector< decltype(v.t() *t(3, 0))>
 Multiply a LorentzVector by a LorentzTensor.
 
template<typename T , typename U >
auto operator* (const LorentzTensor< T > &t, const LorentzVector< U > &v) -> LorentzVector< decltype(v.t() *t(0, 3))>
 Multiply a LorentzTensor by a LorentzVector.
 
template<typename T , typename U >
auto operator* (const LorentzTensor< T > &t, const LorentzTensor< U > &u) -> decltype(t.xx() *u.xx())
 Multiply a LorentzTensor by a LorentzTensor. More...
 
ostream & operator<< (ostream &, const VertexBase &)
 Output the information on the vertex. More...
 

Detailed Description

The Helicity namespace contains classes for spin representation classes in ThePEG.

Enumeration Type Documentation

◆ Direction

Definition of the enumerated values used for the direction of the particles in the calculation of the wavefunction.

Enumerator
incoming 

An incoming particle.

outgoing 

An outgoing particle.

intermediate 

An intermediate particle.

Definition at line 29 of file WaveFunctionBase.h.

◆ SpinorType

Enumeration to specify spinor type.

Enumerator

u spinor.

v spinor.

unknown 

Undefined spinor type.

Definition at line 37 of file HelicityDefinitions.h.

◆ TensorPhase

Definition of the enumerated values of the phase to include in the calculation of the polarization tensor.

Enumerator
tensor_phase 

Include the phase factor.

tensor_nophase 

No phase-factor.

default_tensor_phase 

Default option.

Definition at line 28 of file TensorWaveFunction.h.

◆ VectorPhase

Definition of the enumerated values of the phase to include in the calculation of the polarization vector.

Enumerator
vector_phase 

Include the phase factor.

vector_nophase 

No phase-factor.

default_vector_phase 

Default option.

Definition at line 27 of file VectorWaveFunction.h.

Function Documentation

◆ epsilon()

template<typename A , typename B , typename C >
auto ThePEG::Helicity::epsilon ( const LorentzVector< A > &  a,
const LorentzVector< B > &  b,
const LorentzVector< C > &  c 
) -> LorentzVector<decltype(a.x()*b.y()*c.z())>

Return the product $\epsilon^{\mu\alpha\beta\gamma}v_{1\alpha}v_{2\beta}v_{3\gamma}$.

Author
Peter Richardson

This class is designed to combine 5-momenta and polarization vectors together with the result being the product with the eps function. The class is purely static and contains no data.

See also
LorentzPolarizationVector
Lorentz5Vector
Parameters
aThe first vector $v_{1\alpha}$.
bThe second vector $v_{2\alpha}$.
cThe third vector $v_{3\alpha}$.
Returns
The product $\epsilon^{\mu\alpha\beta\gamma}v_{1\alpha}v_{2\beta}v_{3\gamma}$.

Definition at line 40 of file epsilon.h.

◆ operator*()

template<typename T , typename U >
auto ThePEG::Helicity::operator* ( const LorentzTensor< T > &  t,
const LorentzTensor< U > &  u 
) -> decltype(t.xx()*u.xx())
inline

Multiply a LorentzTensor by a LorentzTensor.

Scalar product with other tensor.

Definition at line 494 of file LorentzTensor.h.

References ThePEG::Helicity::LorentzTensor< Value >::_tensor, and ThePEG::Helicity::LorentzTensor< Value >::xx().

◆ operator<<()

ostream& ThePEG::Helicity::operator<< ( ostream &  ,
const VertexBase  
)

Output the information on the vertex.

The output operator is a friend to avoid the data being public.