ThePEG::Helicity::LorentzRSSpinor< Value > Class Template Reference

The LorentzRSSpinor class is designed to store a Rarita-Schwinger spinor for a spin-3/2 particle. More...

#include <LorentzRSSpinor.h>

List of all members.

Public Member Functions

template<typename ValueB>

complex< typename
BinaryOpTraits< Value, ValueB >
::MulT > generalScalar (LorentzRSSpinorBar< ValueB > &fbar, Complex left, Complex right)

Scalar product $\bar{f}^\alpha(c_LP_L+c_RP_R)f_\alpha$ for general couplings.

template<typename ValueB>

LorentzVector< complex
< typename BinaryOpTraits
< Value, ValueB >::MulT > > generalCurrent (LorentzSpinorBar< ValueB > &fbar, Complex left, Complex right)

Current $\bar{f}(c_LP_L+c_RP_R)f^\alpha$ for general couplings.

Standard constructors.

LorentzRSSpinor (SpinorType t=unknown_spinortype)

Default zero constructor, optionally specifying t, the type.

LorentzRSSpinor (complex< Value > a1, complex< Value > b1, complex< Value > c1, complex< Value > d1, complex< Value > a2, complex< Value > b2, complex< Value > c2, complex< Value > d2, complex< Value > a3, complex< Value > b3, complex< Value > c3, complex< Value > d3, complex< Value > a4, complex< Value > b4, complex< Value > c4, complex< Value > d4, SpinorType t=unknown_spinortype)

Constructor with complex numbers specifying the components, optionally specifying t, the type.

Access the components.

complex< Value > operator() (int i, int j) const

Subscript operator to return spinor components.

complex< Value > & operator() (int i, int j)

Set components by index.

complex< Value > xs1 () const

Get first spinor component for the x vector.

complex< Value > xs2 () const

Get second spinor component for the x vector.

complex< Value > xs3 () const

Get third spinor component for the x vector.

complex< Value > xs4 () const

Get fourth spinor component for the x vector.

complex< Value > ys1 () const

Get first spinor component for the y vector.

complex< Value > ys2 () const

Get second spinor component for the y vector.

complex< Value > ys3 () const

Get third spinor component for the y vector.

complex< Value > ys4 () const

Get fourth spinor component for the y vector.

complex< Value > zs1 () const

Get first spinor component for the z vector.

complex< Value > zs2 () const

Get second spinor component for the z vector.

complex< Value > zs3 () const

Get third spinor component for the z vector.

complex< Value > zs4 () const

Get fourth spinor component for the z vector.

complex< Value > ts1 () const

Get first spinor component for the t vector.

complex< Value > ts2 () const

Get second spinor component for the t vector.

complex< Value > ts3 () const

Get third spinor component for the t vector.

complex< Value > ts4 () const

Get fourth spinor component for the t vector.

void setXS1 (complex< Value > in)

Set first spinor component for the x vector.

void setXS2 (complex< Value > in)

Set second spinor component for the x vector.

void setXS3 (complex< Value > in)

Set third spinor component for the x vector.

void setXS4 (complex< Value > in)

Set fourth spinor component for the x vector.

void setYS1 (complex< Value > in)

Set first spinor component for the y vector.

void setYS2 (complex< Value > in)

Set second spinor component for the y vector.

void setYS3 (complex< Value > in)

Set third spinor component for the y vector.

void setYS4 (complex< Value > in)

Set fourth spinor component for the y vector.

void setZS1 (complex< Value > in)

Set first spinor component for the z vector.

void setZS2 (complex< Value > in)

Set second spinor component for the z vector.

void setZS3 (complex< Value > in)

Set third spinor component for the z vector.

void setZS4 (complex< Value > in)

Set fourth spinor component for the z vector.

void setTS1 (complex< Value > in)

Set first spinor component for the t vector.

void setTS2 (complex< Value > in)

Set second spinor component for the t vector.

void setTS3 (complex< Value > in)

Set third spinor component for the t vector.

void setTS4 (complex< Value > in)

Set fourth spinor component for the t vector.

Arithmetic operators.

LorentzSpinor< Value > dot (const LorentzPolarizationVector &vec) const

dot product with a polarization vector

LorentzSpinor< Value > dot (const LorentzMomentum &invec) const

dot product with a 4-vector

Transformations.

LorentzRSSpinorBar< Value > bar () const

return the barred spinor

LorentzRSSpinor & boost (double, double, double)

Standard Lorentz boost specifying the components of the beta vector.

LorentzRSSpinor & boost (const Boost &)

Standard Lorentz boost specifying the beta vector.

LorentzRSSpinor & transform (const LorentzRotation &)

General transform.

Functions related to type.

SpinorType Type () const

Return the type of the spinor.

Private Attributes

SpinorType _type

Type of spinor.

complex< Value > _spin [4][4]

Storage of the components.

Detailed Description

template<typename Value>
class ThePEG::Helicity::LorentzRSSpinor< Value >

The LorentzRSSpinor class is designed to store a Rarita-Schwinger spinor for a spin-3/2 particle.

In addition to storing the components of the spinor information is stored on the type of spinor, for example u or v type.

At the moment only one choice of the Dirac matrix representation is supported. For high-energy calculations the choice made by the HELAS collaboration is more efficient for numerical calculations. In this representation

$\gamma_{i=1,2,3}=\left(\begin{array}{cc} 0 & \sigma_i \\ -\sigma_i & 0 \end{array}\right) \quad \gamma_0=\left(\begin{array}{cc} 0 & 1 \\ 1 & 0 \end{array}\right) \quad \gamma_5=\left(\begin{array}{cc} -1 & 0 \\ 0 & 1 \end{array}\right)$

The type of the spinor is also stored using the SpinorType enumeration. There are three types supported u_spinortype, v_spinortype, unknown_spinortype. This information is intended mainly for use in the case of Majorana particles where matrix elements can be calculated with either u or v type spinors and knowledge of which was used will be needed in order to give the correct correlations. The unknown_spinortypee is intended for cases where either the spinor for an off-shell line in a matrix element calculation or the information is genuinely unknown.

The LorentzRSSpinorBar class is also provided to store the barred spinor.

See also:: HelicityDefinitions
LorentzRSSpinorBar

Author:: Peter Richardson

Definition at line 73 of file LorentzRSSpinor.h.

Member Function Documentation

template<typename Value>

template<typename ValueB>

complex<typename BinaryOpTraits<Value,ValueB>::MulT> ThePEG::Helicity::LorentzRSSpinor< Value >::generalScalar	(	LorentzRSSpinorBar< ValueB > &	fbar,
		Complex	left,
		Complex	right
	)			`[inline]`

Scalar product $\bar{f}^\alpha(c_LP_L+c_RP_R)f_\alpha$ for general couplings.

Parameters:

	fbar	The barred spinor
	left	The left-handed coupling, .
	right	The right-handed coupling, .

Definition at line 364 of file LorentzRSSpinor.h.

template<typename Value>

template<typename ValueB>

LorentzVector<complex<typename BinaryOpTraits<Value,ValueB>::MulT> > ThePEG::Helicity::LorentzRSSpinor< Value >::generalCurrent	(	LorentzSpinorBar< ValueB > &	fbar,
		Complex	left,
		Complex	right
	)			`[inline]`

Current $\bar{f}(c_LP_L+c_RP_R)f^\alpha$ for general couplings.

Parameters:

	fbar	The barred spinor
	left	The left-handed coupling, .
	right	The right-handed coupling, .

Definition at line 386 of file LorentzRSSpinor.h.

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

LorentzRSSpinor.h


Public Member Functions
template<typename ValueB>
complex< typename BinaryOpTraits< Value, ValueB > ::MulT >	generalScalar (LorentzRSSpinorBar< ValueB > &fbar, Complex left, Complex right)
	Scalar product $\bar{f}^\alpha(c_LP_L+c_RP_R)f_\alpha$ for general couplings.
template<typename ValueB>
LorentzVector< complex < typename BinaryOpTraits < Value, ValueB >::MulT > >	generalCurrent (LorentzSpinorBar< ValueB > &fbar, Complex left, Complex right)
	Current $\bar{f}(c_LP_L+c_RP_R)f^\alpha$ for general couplings.
Standard constructors.
	LorentzRSSpinor (SpinorType t=unknown_spinortype)
	Default zero constructor, optionally specifying t, the type.
	LorentzRSSpinor (complex< Value > a1, complex< Value > b1, complex< Value > c1, complex< Value > d1, complex< Value > a2, complex< Value > b2, complex< Value > c2, complex< Value > d2, complex< Value > a3, complex< Value > b3, complex< Value > c3, complex< Value > d3, complex< Value > a4, complex< Value > b4, complex< Value > c4, complex< Value > d4, SpinorType t=unknown_spinortype)
	Constructor with complex numbers specifying the components, optionally specifying t, the type.
Access the components.
complex< Value >	operator() (int i, int j) const
	Subscript operator to return spinor components.
complex< Value > &	operator() (int i, int j)
	Set components by index.
complex< Value >	xs1 () const
	Get first spinor component for the x vector.
complex< Value >	xs2 () const
	Get second spinor component for the x vector.
complex< Value >	xs3 () const
	Get third spinor component for the x vector.
complex< Value >	xs4 () const
	Get fourth spinor component for the x vector.
complex< Value >	ys1 () const
	Get first spinor component for the y vector.
complex< Value >	ys2 () const
	Get second spinor component for the y vector.
complex< Value >	ys3 () const
	Get third spinor component for the y vector.
complex< Value >	ys4 () const
	Get fourth spinor component for the y vector.
complex< Value >	zs1 () const
	Get first spinor component for the z vector.
complex< Value >	zs2 () const
	Get second spinor component for the z vector.
complex< Value >	zs3 () const
	Get third spinor component for the z vector.
complex< Value >	zs4 () const
	Get fourth spinor component for the z vector.
complex< Value >	ts1 () const
	Get first spinor component for the t vector.
complex< Value >	ts2 () const
	Get second spinor component for the t vector.
complex< Value >	ts3 () const
	Get third spinor component for the t vector.
complex< Value >	ts4 () const
	Get fourth spinor component for the t vector.
void	setXS1 (complex< Value > in)
	Set first spinor component for the x vector.
void	setXS2 (complex< Value > in)
	Set second spinor component for the x vector.
void	setXS3 (complex< Value > in)
	Set third spinor component for the x vector.
void	setXS4 (complex< Value > in)
	Set fourth spinor component for the x vector.
void	setYS1 (complex< Value > in)
	Set first spinor component for the y vector.
void	setYS2 (complex< Value > in)
	Set second spinor component for the y vector.
void	setYS3 (complex< Value > in)
	Set third spinor component for the y vector.
void	setYS4 (complex< Value > in)
	Set fourth spinor component for the y vector.
void	setZS1 (complex< Value > in)
	Set first spinor component for the z vector.
void	setZS2 (complex< Value > in)
	Set second spinor component for the z vector.
void	setZS3 (complex< Value > in)
	Set third spinor component for the z vector.
void	setZS4 (complex< Value > in)
	Set fourth spinor component for the z vector.
void	setTS1 (complex< Value > in)
	Set first spinor component for the t vector.
void	setTS2 (complex< Value > in)
	Set second spinor component for the t vector.
void	setTS3 (complex< Value > in)
	Set third spinor component for the t vector.
void	setTS4 (complex< Value > in)
	Set fourth spinor component for the t vector.
Arithmetic operators.
LorentzSpinor< Value >	dot (const LorentzPolarizationVector &vec) const
	dot product with a polarization vector
LorentzSpinor< Value >	dot (const LorentzMomentum &invec) const
	dot product with a 4-vector
Transformations.
LorentzRSSpinorBar< Value >	bar () const
	return the barred spinor
LorentzRSSpinor &	boost (double, double, double)
	Standard Lorentz boost specifying the components of the beta vector.
LorentzRSSpinor &	boost (const Boost &)
	Standard Lorentz boost specifying the beta vector.
LorentzRSSpinor &	transform (const LorentzRotation &)
	General transform.
Functions related to type.
SpinorType	Type () const
	Return the type of the spinor.
Private Attributes
SpinorType	_type
	Type of spinor.
complex< Value >	_spin [4][4]
	Storage of the components.

ThePEG::Helicity::LorentzRSSpinor< Value > Class Template Reference

Public Member Functions

Private Attributes

Detailed Description

template<typename Value> class ThePEG::Helicity::LorentzRSSpinor< Value >

Member Function Documentation

template<typename Value>
class ThePEG::Helicity::LorentzRSSpinor< Value >