ThePEG::LorentzVector< Value > Class Template Reference

A 4-component Lorentz vector. More...

#include <LorentzVector.h>

Inheritance diagram for ThePEG::LorentzVector< Value >:

List of all members.

Public Member Functions

template<typename ValueB>

LorentzVector< Value > & operator= (const LorentzVector< ValueB > &b)

Assignment operator.

ThreeVector< Value > vect () const

Access to the 3-component part.

operator ThreeVector< Value > () const

Cast to the 3-component part.

void setVect (const ThreeVector< Value > &p)

Set the 3-component part.

LorentzVector< Value > conjugate () const

The complex conjugate vector.

Value2 m2 () const

Squared magnitude $x^\mu\,x_\mu=t^2 - \vec{x}^2$ .

Value2 m2 (const LorentzVector< Value > &a) const

Squared magnitude with another vector.

Value m () const

Magnitude (signed) $\pm\sqrt{|t^2 - \vec{x}^2|}$ .

Value2 mt2 () const

Transverse mass squared $t^2-z^2$ .

Value mt () const

Transverse mass (signed) $\pm\sqrt{|t^2 - z^2|}$ .

Value2 perp2 () const

Squared transverse component of the spatial vector $x^2+y^2$ .

Value perp () const

Transverse component of the spatial vector $\pm\sqrt{x^2 + y^2}$ .

template<typename U>

Value2 perp2 (const ThreeVector< U > &p) const

Squared transverse component of the spatial vector with respect to the given axis.

template<typename U>

Value perp (const ThreeVector< U > &p) const

Transverse component of the spatial vector with respect to the given axis.

Value2 et2 () const

Transverse energy squared.

Value et () const

Transverse energy (signed).

Value2 et2 (const ThreeVector< double > &v) const

Transverse energy squared with respect to the given axis.

Value et (const ThreeVector< double > &v) const

Transverse energy with respect to the given axis (signed).

double eta () const

Pseudorapidity of spatial part.

double angle (const LorentzVector< Value > &w) const

Spatial angle with another vector.

double rapidity () const

Rapidity $\frac{1}{2}\ln\frac{t+z}{t-z}$ .

double rapidity (const Axis &ref) const

Rapidity with respect to another vector.

Boost boostVector () const

Boost from reference frame into this vector's rest frame: $\frac{\vec{x}}{t}$ .

Boost findBoostToCM () const

Boost from reference frame into this vector's rest frame: $-\frac{\vec{x}}{t}$ .

Value plus () const

Returns the positive light-cone component $t + z$ .

Value minus () const

Returns the negative light-cone component $t - z$ .

bool isNear (const LorentzVector< Value > &w, double epsilon) const

Are two vectors nearby, using Euclidean measure $t^2 + |\vec{x}|^2$ ?

LorentzVector< Value > & transform (const SpinOneLorentzRotation &m)

Rotate the vector. Resets $x^\mu\rightarrow\mathsf{M}^\mu_\nu x^\nu$ .

LorentzVector< Value > & operator*= (const SpinOneLorentzRotation &m)

Rotate the vector. Resets $x^\mu\rightarrow\mathsf{M}^\mu_\nu x^\nu$ .

template<typename U>

BinaryOpTraits< Value, U >::MulT dot (const LorentzVector< U > &a) const

Dot product with metric $(+,-,-,-)$ .

LorentzVector< Value > & boost (double bx, double by, double bz, double gamma=-1.)

Apply boost.

LorentzVector< Value > & boost (Boost b, double gamma=-1.)

Apply boost.

LorentzVector< Value > & rotateX (double phi)

Apply rotation around the x-axis.

LorentzVector< Value > & rotateY (double phi)

Apply rotation around the y-axis.

LorentzVector< Value > & rotateZ (double phi)

Apply rotation around the z-axis.

LorentzVector< Value > & rotateUz (const Axis &axis)

Rotate the reference frame to a new z-axis.

Constructors.

LorentzVector ()

LorentzVector (Value x, Value y, Value z, Value t)

LorentzVector (const ThreeVector< Value > &v, Value t)

template<typename U>

LorentzVector (const LorentzVector< U > &v)

Component access methods.

Value x () const

Value y () const

Value z () const

Value t () const

Value e () const

Component set methods.

void setX (Value x)

void setY (Value y)

void setZ (Value z)

void setT (Value t)

void setE (Value e)

Spherical coordinates for the spatial part.

Value2 rho2 () const

Radius squared.

Value rho () const

Radius.

void setRho (Value newRho)

Set new radius.

double theta () const

Polar angle.

double cosTheta () const

Cosine of the polar angle.

double phi () const

Azimuthal angle.

Mathematical assignment operators.

template<typename ValueB>

LorentzVector< Value > & operator+= (const LorentzVector< ValueB > &a)

template<typename ValueB>

LorentzVector< Value > & operator-= (const LorentzVector< ValueB > &a)

LorentzVector< Value > & operator*= (double a)

LorentzVector< Value > & operator/= (double a)

Private Types

typedef BinaryOpTraits< Value,
Value >::MulT Value2

Value squared.

Private Attributes

Vector components

Value theX

Value theY

Value theZ

Value theT

Detailed Description

template<typename Value>
class ThePEG::LorentzVector< Value >

A 4-component Lorentz vector.

It can be created with any unit type as template parameter. All basic mathematical operations are supported, as well as a subset of the CLHEP LorentzVector functionality.

Definition at line 48 of file LorentzVector.h.

Member Function Documentation

template<typename Value>

LorentzVector<Value>& ThePEG::LorentzVector< Value >::boost	(	double	bx,
		double	by,
		double	bz,
		double	gamma = `-1.`
	)			`[inline]`

Apply boost.

Parameters:

	bx	Component x of the boost.
	by	Component y of the boost.
	bz	Component z of the boost.
	gamma	Optional gamma parameter for higher numerical accuracy. The user has to ensure consistency. If not given, it will be calculated as $\gamma=1/\sqrt{1-\beta^2}$ .

Definition at line 371 of file LorentzVector.h.

Referenced by ThePEG::LorentzVector< complex< double > >::boost().

template<typename Value>

LorentzVector<Value>& ThePEG::LorentzVector< Value >::boost	(	Boost	b,
		double	gamma = `-1.`
	)			`[inline]`

Apply boost.

Parameters:

	b	Three-vector giving the boost.
	gamma	Optional gamma parameter for higher numerical accuracy. The user has to ensure consistency. If not given, it will be calculated as $\gamma=1/\sqrt{1-\beta^2}$ .

Definition at line 396 of file LorentzVector.h.

template<typename Value>

LorentzVector<Value>& ThePEG::LorentzVector< Value >::rotateX ( double phi ) [inline]

Apply rotation around the x-axis.

Parameters:

phi

Angle in radians.

Definition at line 405 of file LorentzVector.h.

template<typename Value>

LorentzVector<Value>& ThePEG::LorentzVector< Value >::rotateY ( double phi ) [inline]

Apply rotation around the y-axis.

Parameters:

phi

Angle in radians.

Definition at line 419 of file LorentzVector.h.

template<typename Value>

LorentzVector<Value>& ThePEG::LorentzVector< Value >::rotateZ ( double phi ) [inline]

Apply rotation around the z-axis.

Parameters:

phi

Angle in radians.

Definition at line 433 of file LorentzVector.h.

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

LorentzVector.h


Public Member Functions
template<typename ValueB>
LorentzVector< Value > &	operator= (const LorentzVector< ValueB > &b)
	Assignment operator.
ThreeVector< Value >	vect () const
	Access to the 3-component part.
	operator ThreeVector< Value > () const
	Cast to the 3-component part.
void	setVect (const ThreeVector< Value > &p)
	Set the 3-component part.
LorentzVector< Value >	conjugate () const
	The complex conjugate vector.
Value2	m2 () const
	Squared magnitude $x^\mu\,x_\mu=t^2 - \vec{x}^2$ .
Value2	m2 (const LorentzVector< Value > &a) const
	Squared magnitude with another vector.
Value	m () const
	Magnitude (signed) $\pm\sqrt{\|t^2 - \vec{x}^2\|}$ .
Value2	mt2 () const
	Transverse mass squared .
Value	mt () const
	Transverse mass (signed) $\pm\sqrt{\|t^2 - z^2\|}$ .
Value2	perp2 () const
	Squared transverse component of the spatial vector .
Value	perp () const
	Transverse component of the spatial vector $\pm\sqrt{x^2 + y^2}$ .
template<typename U>
Value2	perp2 (const ThreeVector< U > &p) const
	Squared transverse component of the spatial vector with respect to the given axis.
template<typename U>
Value	perp (const ThreeVector< U > &p) const
	Transverse component of the spatial vector with respect to the given axis.
Value2	et2 () const
	Transverse energy squared.
Value	et () const
	Transverse energy (signed).
Value2	et2 (const ThreeVector< double > &v) const
	Transverse energy squared with respect to the given axis.
Value	et (const ThreeVector< double > &v) const
	Transverse energy with respect to the given axis (signed).
double	eta () const
	Pseudorapidity of spatial part.
double	angle (const LorentzVector< Value > &w) const
	Spatial angle with another vector.
double	rapidity () const
	Rapidity $\frac{1}{2}\ln\frac{t+z}{t-z}$ .
double	rapidity (const Axis &ref) const
	Rapidity with respect to another vector.
Boost	boostVector () const
	Boost from reference frame into this vector's rest frame: $\frac{\vec{x}}{t}$ .
Boost	findBoostToCM () const
	Boost from reference frame into this vector's rest frame: $-\frac{\vec{x}}{t}$ .
Value	plus () const
	Returns the positive light-cone component .
Value	minus () const
	Returns the negative light-cone component .
bool	isNear (const LorentzVector< Value > &w, double epsilon) const
	Are two vectors nearby, using Euclidean measure $t^2 + \|\vec{x}\|^2$ ?
LorentzVector< Value > &	transform (const SpinOneLorentzRotation &m)
	Rotate the vector. Resets $x^\mu\rightarrow\mathsf{M}^\mu_\nu x^\nu$ .
LorentzVector< Value > &	operator*= (const SpinOneLorentzRotation &m)
	Rotate the vector. Resets $x^\mu\rightarrow\mathsf{M}^\mu_\nu x^\nu$ .
template<typename U>
BinaryOpTraits< Value, U >::MulT	dot (const LorentzVector< U > &a) const
	Dot product with metric .
LorentzVector< Value > &	boost (double bx, double by, double bz, double gamma=-1.)
	Apply boost.
LorentzVector< Value > &	boost (Boost b, double gamma=-1.)
	Apply boost.
LorentzVector< Value > &	rotateX (double phi)
	Apply rotation around the x-axis.
LorentzVector< Value > &	rotateY (double phi)
	Apply rotation around the y-axis.
LorentzVector< Value > &	rotateZ (double phi)
	Apply rotation around the z-axis.
LorentzVector< Value > &	rotateUz (const Axis &axis)
	Rotate the reference frame to a new z-axis.
Constructors.
	LorentzVector ()
	LorentzVector (Value x, Value y, Value z, Value t)
	LorentzVector (const ThreeVector< Value > &v, Value t)
template<typename U>
	LorentzVector (const LorentzVector< U > &v)
Component access methods.
Value	x () const
Value	y () const
Value	z () const
Value	t () const
Value	e () const
Component set methods.
void	setX (Value x)
void	setY (Value y)
void	setZ (Value z)
void	setT (Value t)
void	setE (Value e)
Spherical coordinates for the spatial part.
Value2	rho2 () const
	Radius squared.
Value	rho () const
	Radius.
void	setRho (Value newRho)
	Set new radius.
double	theta () const
	Polar angle.
double	cosTheta () const
	Cosine of the polar angle.
double	phi () const
	Azimuthal angle.
Mathematical assignment operators.
template<typename ValueB>
LorentzVector< Value > &	operator+= (const LorentzVector< ValueB > &a)
template<typename ValueB>
LorentzVector< Value > &	operator-= (const LorentzVector< ValueB > &a)
LorentzVector< Value > &	*operator=** (double a)
LorentzVector< Value > &	operator/= (double a)
Private Types
typedef BinaryOpTraits< Value, Value >::MulT	Value2
	Value squared.
Private Attributes
Vector components
Value	theX
Value	theY
Value	theZ
Value	theT

ThePEG::LorentzVector< Value > Class Template Reference

Public Member Functions

Private Types

Private Attributes

Detailed Description

template<typename Value> class ThePEG::LorentzVector< Value >

Member Function Documentation

template<typename Value>
class ThePEG::LorentzVector< Value >