TLorentzVector Class Reference

Disclaimer

TLorentzVector is a legacy class. It is slower and worse for serialization than the recommended superior ROOT::Math::LorentzVector. ROOT provides specialisations of the ROOT::Math::LorentzVector template which are superior from the runtime performance offered, i.e.:

• ROOT::Math::PtEtaPhiMVector based on pt (rho),eta,phi and M (t) coordinates in double precision
• ROOT::Math::PtEtaPhiEVector based on pt (rho),eta,phi and E (t) coordinates in double precision
• ROOT::Math::PxPyPzMVector based on px,py,pz and M (mass) coordinates in double precision
• ROOT::Math::PxPyPzEVector based on px,py,pz and E (energy) coordinates in double precision
• ROOT::Math::XYZTVector based on x,y,z,t coordinates (cartesian) in double precision (same as PxPyPzEVector)
• ROOT::Math::XYZTVectorF based on x,y,z,t coordinates (cartesian) in float precision (same as PxPyPzEVector but float)

More details about the GenVector package can be found here.

Description

TLorentzVector is a general four-vector class, which can be used either for the description of position and time (x,y,z,t) or momentum and energy (px,py,pz,E).

Declaration

TLorentzVector has been implemented as a set a TVector3 and a Double_t variable. By default all components are initialized by zero.

TLorentzVector v1;      // initialized by (0., 0., 0., 0.)
TLorentzVector v2(1., 1., 1., 1.);
TLorentzVector v3(v1);
TLorentzVector v4(TVector3(1., 2., 3.),4.);

For backward compatibility there are two constructors from an Double_t and Float_t C array.

Access to the components

There are two sets of access functions to the components of a LorentzVector: X(), Y(), Z(), T() and Px(), Py(), Pz() and E(). Both sets return the same values but the first set is more relevant for use where TLorentzVector describes a combination of position and time and the second set is more relevant where TLorentzVector describes momentum and energy:

Double_t xx =v.X();
...
Double_t tt = v.T();
 
Double_t px = v.Px();
...
Double_t ee = v.E();

The components of TLorentzVector can also accessed by index:

xx = v(0);       or     xx = v[0];
yy = v(1);              yy = v[1];
zz = v(2);              zz = v[2];
tt = v(3);              tt = v[3];

You can use the Vect() member function to get the vector component of TLorentzVector:

TVector3 p = v.Vect();

For setting components also two sets of member functions can be used:

v.SetX(1.);        or    v.SetPx(1.);
...                               ...
v.SetT(1.);              v.SetE(1.);

To set more the one component by one call you can use the SetVect() function for the TVector3 part or SetXYZT(), SetPxPyPzE(). For convenience there is

also a SetXYZM():

v.SetVect(TVector3(1,2,3));
v.SetXYZT(x,y,z,t);
v.SetPxPyPzE(px,py,pz,e);
v.SetXYZM(x,y,z,m);   //   ->  v=(x,y,z,e=Sqrt(x*x+y*y+z*z+m*m))

Vector components in non-cartesian coordinate systems

There are a couple of member functions to get and set the TVector3 part of the parameters in spherical coordinate systems:

Double_t m, theta, cost, phi, pp, pp2, ppv2, pp2v2;
m = v.Rho();
t = v.Theta();
cost = v.CosTheta();
phi = v.Phi();
 
v.SetRho(10.);
v.SetTheta(TMath::Pi()*.3);
v.SetPhi(TMath::Pi());

or get information about the r-coordinate in cylindrical systems:

Double_t pp, pp2, ppv2, pp2v2;
pp = v.Perp();         // get transvers component
pp2 = v.Perp2();       // get transverse component squared
ppv2 = v.Perp(v1);     // get transvers component with
                       // respect to another vector
pp2v2 = v.Perp(v1);

for convenience there are two more set functions SetPtEtaPhiE(pt,eta,phi,e); and SetPtEtaPhiM(pt,eta,phi,m);

Arithmetic and comparison operators

The TLorentzVector class provides operators to add, subtract or compare four-vectors:

v3 = -v1;
v1 = v2+v3;
v1+= v3;
v1 = v2 + v3;
v1-= v3;
 
if (v1 == v2) {...}
if(v1 != v3) {...}

Magnitude/Invariant mass, beta, gamma, scalar product

The scalar product of two four-vectors is calculated with the (-,-,-,+) metric,

i.e. s = v1*v2 = t1*t2-x1*x2-y1*y2-z1*z2 The magnitude squared mag2 of a four-vector is therefore:

mag2 = v*v = t*t-x*x-y*y-z*z

It mag2 is negative mag = -Sqrt(-mag*mag). The member functions are:

Double_t s, s2;
s  = v1.Dot(v2);     // scalar product
s  = v1*v2;          // scalar product
s2 = v.Mag2();   or    s2 = v.M2();
s  = v.Mag();          s  = v.M();

Since in case of momentum and energy the magnitude has the meaning of invariant mass TLorentzVector provides the more meaningful aliases M2() and M(); The member functions Beta() and Gamma() returns beta and gamma = 1/Sqrt(1-beta*beta).

Lorentz boost

A boost in a general direction can be parameterised with three parameters which can be taken as the components of a three vector b = (bx,by,bz). With x = (x,y,z) and gamma = 1/Sqrt(1-beta*beta) (beta being the module of vector b), an arbitrary active Lorentz boost transformation (from the rod frame to the original frame) can be written as:

x = x' + (gamma-1)/(beta*beta) * (b*x') * b + gamma * t' * b
t = gamma (t'+ b*x').

The member function Boost() performs a boost transformation from the rod frame to the original frame. BoostVector() returns a TVector3 of the spatial components divided by the time component:

TVector3 b;
v.Boost(bx,by,bz);
v.Boost(b);
b = v.BoostVector();   // b=(x/t,y/t,z/t)

Rotations

There are four sets of functions to rotate the TVector3 component of a TLorentzVector:

rotation around axes

v.RotateX(TMath::Pi()/2.);
v.RotateY(.5);
v.RotateZ(.99);

rotation around an arbitrary axis

v.Rotate(TMath::Pi()/4., v1); // rotation around v1

transformation from rotated frame

v.RotateUz(direction); //  direction must be a unit TVector3

by TRotation (see TRotation)

TRotation r;
v.Transform(r);    or     v *= r; // Attention v=M*v

Misc

Angle between two vectors

Double_t a = v1.Angle(v2.Vect());  // get angle between v1 and v2

Light-cone components

Member functions Plus() and Minus() return the positive and negative light-cone components:

Double_t pcone = v.Plus();
Double_t mcone = v.Minus();

CAVEAT: The values returned are T{+,-}Z. It is known that some authors find it easier to define these components as (T{+,-}Z)/sqrt(2). Thus check what definition is used in the physics you're working in and adapt your code accordingly.

Transformation by TLorentzRotation

A general Lorentz transformation see class TLorentzRotation can be used by the Transform() member function, the *= or operator of the TLorentzRotation class:

TLorentzRotation l;
v.Transform(l);
v = l*v;     or     v *= l;  // Attention v = l*v

Definition at line 32 of file TLorentzVector.h.

Public Types
enum	{   kX =0 , kY =1 , kZ =2 , kT =3 ,   kNUM_COORDINATES =4 , kSIZE =kNUM_COORDINATES }
typedef Double_t	Scalar
Public Types inherited from TObject
enum	{   kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 ,   kBitMask = 0x00ffffff }
enum	{ kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) }
enum	EDeprecatedStatusBits { kObjInCanvas = BIT(3) }
enum	EStatusBits {   kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) ,   kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) }

Public Member Functions
	TLorentzVector ()
	TLorentzVector (const Double_t *carray)
	TLorentzVector (const Float_t *carray)
	TLorentzVector (const TLorentzVector &lorentzvector)
	TLorentzVector (const TVector3 &vector3, Double_t t)
	TLorentzVector (Double_t x, Double_t y, Double_t z, Double_t t)
virtual	~TLorentzVector ()
Double_t	Angle (const TVector3 &v) const
Double_t	Beta () const
void	Boost (const TVector3 &)
void	Boost (Double_t, Double_t, Double_t)
TVector3	BoostVector () const
Double_t	CosTheta () const
Double_t	DeltaPhi (const TLorentzVector &) const
Double_t	DeltaR (const TLorentzVector &) const
Double_t	Dot (const TLorentzVector &) const
Double_t	DrEtaPhi (const TLorentzVector &) const
Double_t	E () const
Double_t	Energy () const
Double_t	Et () const
Double_t	Et (const TVector3 &) const
Double_t	Et2 () const
Double_t	Et2 (const TVector3 &) const
Double_t	Eta () const
TVector2	EtaPhiVector ()
Double_t	Gamma () const
void	GetXYZT (Double_t *carray) const
void	GetXYZT (Float_t *carray) const
Double_t	M () const
Double_t	M2 () const
Double_t	Mag () const
Double_t	Mag2 () const
Double_t	Minus () const
Double_t	Mt () const
Double_t	Mt2 () const
Bool_t	operator!= (const TLorentzVector &) const
Double_t &	operator() (int i)
Double_t	operator() (int i) const
Double_t	operator* (const TLorentzVector &) const
TLorentzVector	operator* (Double_t a) const
TLorentzVector &	operator*= (const TLorentzRotation &)
TLorentzVector &	operator*= (const TRotation &)
TLorentzVector &	operator*= (Double_t a)
TLorentzVector	operator+ (const TLorentzVector &) const
TLorentzVector &	operator+= (const TLorentzVector &)
TLorentzVector	operator- () const
TLorentzVector	operator- (const TLorentzVector &) const
TLorentzVector &	operator-= (const TLorentzVector &)
TLorentzVector &	operator= (const TLorentzVector &)
Bool_t	operator== (const TLorentzVector &) const
Double_t &	operator[] (int i)
Double_t	operator[] (int i) const
Double_t	P () const
Double_t	Perp () const
Double_t	Perp (const TVector3 &v) const
Double_t	Perp2 () const
Double_t	Perp2 (const TVector3 &v) const
Double_t	Phi () const
Double_t	Plus () const
virtual void	Print (Option_t *option="") const
	Print the TLorentz vector components as (x,y,z,t) and (P,eta,phi,E) representations. More...
Double_t	PseudoRapidity () const
Double_t	Pt () const
Double_t	Pt (const TVector3 &v) const
Double_t	Px () const
Double_t	Py () const
Double_t	Pz () const
Double_t	Rapidity () const
Double_t	Rho () const
void	Rotate (Double_t, const TVector3 &)
void	RotateUz (const TVector3 &newUzVector)
void	RotateX (Double_t angle)
void	RotateY (Double_t angle)
void	RotateZ (Double_t angle)
void	SetE (Double_t a)
void	SetPerp (Double_t)
void	SetPhi (Double_t phi)
void	SetPtEtaPhiE (Double_t pt, Double_t eta, Double_t phi, Double_t e)
void	SetPtEtaPhiM (Double_t pt, Double_t eta, Double_t phi, Double_t m)
void	SetPx (Double_t a)
void	SetPxPyPzE (Double_t px, Double_t py, Double_t pz, Double_t e)
void	SetPy (Double_t a)
void	SetPz (Double_t a)
void	SetRho (Double_t rho)
void	SetT (Double_t a)
void	SetTheta (Double_t theta)
void	SetVect (const TVector3 &vect3)
void	SetVectM (const TVector3 &spatial, Double_t mass)
void	SetVectMag (const TVector3 &spatial, Double_t magnitude)
void	SetX (Double_t a)
void	SetXYZM (Double_t x, Double_t y, Double_t z, Double_t m)
void	SetXYZT (Double_t x, Double_t y, Double_t z, Double_t t)
void	SetY (Double_t a)
void	SetZ (Double_t a)
Double_t	T () const
Double_t	Theta () const
TLorentzVector &	Transform (const TLorentzRotation &)
TLorentzVector &	Transform (const TRotation &)
TVector3	Vect () const
Double_t	X () const
Double_t	Y () const
Double_t	Z () const
Public Member Functions inherited from TObject
	TObject ()
	TObject constructor. More...
	TObject (const TObject &object)
	TObject copy ctor. More...
virtual	~TObject ()
	TObject destructor. More...
void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...
virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. More...
virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action. More...
ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. More...
virtual const char *	ClassName () const
	Returns name of class to which the object belongs. More...
virtual void	Clear (Option_t *="")
virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...
virtual Int_t	Compare (const TObject *obj) const
	Compare abstract method. More...
virtual void	Copy (TObject &object) const
	Copy this to obj. More...
virtual void	Delete (Option_t *option="")
	Delete this object. More...
virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object. More...
virtual void	Draw (Option_t *option="")
	Default Draw method for all objects. More...
virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs. More...
virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad for instance with: gROOT->SetSelectedPad(gPad). More...
virtual void	Dump () const
	Dump contents of object on stdout. More...
virtual void	Error (const char *method, const char *msgfmt,...) const
	Issue error message. More...
virtual void	Execute (const char *method, const char *params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...
virtual void	Execute (TMethod *method, TObjArray *params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...
virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py). More...
virtual void	Fatal (const char *method, const char *msgfmt,...) const
	Issue fatal error message. More...
virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes. More...
virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes. More...
virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object. More...
virtual const char *	GetIconName () const
	Returns mime type name of object. More...
virtual const char *	GetName () const
	Returns name of object. More...
virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py). More...
virtual Option_t *	GetOption () const
virtual const char *	GetTitle () const
	Returns title of object. More...
virtual UInt_t	GetUniqueID () const
	Return the unique object id. More...
virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out. More...
virtual ULong_t	Hash () const
	Return hash value for this object. More...
Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. More...
virtual void	Info (const char *method, const char *msgfmt,...) const
	Issue info message. More...
virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname". More...
virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl. More...
virtual void	Inspect () const
	Dump contents of this object in a graphics canvas. More...
void	InvertBit (UInt_t f)
virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory). More...
virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...
R__ALWAYS_INLINE Bool_t	IsOnHeap () const
virtual Bool_t	IsSortable () const
R__ALWAYS_INLINE Bool_t	IsZombie () const
virtual void	ls (Option_t *option="") const
	The ls function lists the contents of a class on stdout. More...
void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More...
virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...
void	Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete. More...
void	operator delete (void *ptr)
	Operator delete. More...
void	operator delete[] (void *ptr)
	Operator delete []. More...
void *	operator new (size_t sz)
void *	operator new (size_t sz, void *vp)
void *	operator new[] (size_t sz)
void *	operator new[] (size_t sz, void *vp)
TObject &	operator= (const TObject &rhs)
	TObject assignment operator. More...
virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself. More...
virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list. More...
virtual void	Print (Option_t *option="") const
	This method must be overridden when a class wants to print itself. More...
virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory. More...
virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list. More...
void	ResetBit (UInt_t f)
virtual void	SaveAs (const char *filename="", Option_t *option="") const
	Save this object in the file specified by filename. More...
virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...
void	SetBit (UInt_t f)
void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f. More...
virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object. More...
virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id. More...
virtual void	SysError (const char *method, const char *msgfmt,...) const
	Issue system error message. More...
R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const
Int_t	TestBits (UInt_t f) const
virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...
virtual void	Warning (const char *method, const char *msgfmt,...) const
	Issue warning message. More...
virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory. More...
virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory. More...

Private Attributes
Double_t	fE
TVector3	fP

Additional Inherited Members
Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...
static Bool_t	GetObjectStat ()
	Get status of object stat flag. More...
static void	SetDtorOnly (void *obj)
	Set destructor only flag. More...
static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable. More...
Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char *location, const char *fmt, va_list va) const
	Interface to ErrorHandler (protected). More...
void	MakeZombie ()

#include <TLorentzVector.h>

Inheritance diagram for TLorentzVector:

Member Typedef Documentation

Scalar

typedef Double_t TLorentzVector::Scalar

Definition at line 41 of file TLorentzVector.h.

Member Enumeration Documentation

anonymous enum

anonymous enum

Enumerator
kX
kY
kZ
kT
kNUM_COORDINATES
kSIZE

Definition at line 43 of file TLorentzVector.h.

Constructor & Destructor Documentation

TLorentzVector() [1/6]

TLorentzVector::TLorentzVector ( )

inline

Definition at line 593 of file TLorentzVector.h.

TLorentzVector() [2/6]

TLorentzVector::TLorentzVector ( Double_t  x, Double_t  y, Double_t  z, Double_t  t  )

inline

Definition at line 596 of file TLorentzVector.h.

TLorentzVector() [3/6]

TLorentzVector::TLorentzVector ( const Double_t *  carray )

inline

Definition at line 599 of file TLorentzVector.h.

TLorentzVector() [4/6]

TLorentzVector::TLorentzVector ( const Float_t *  carray )

inline

Definition at line 602 of file TLorentzVector.h.

TLorentzVector() [5/6]

TLorentzVector::TLorentzVector ( const TVector3 &  vector3, Double_t  t  )

inline

Definition at line 605 of file TLorentzVector.h.

TLorentzVector() [6/6]

TLorentzVector::TLorentzVector ( const TLorentzVector &  lorentzvector )

inline

Definition at line 608 of file TLorentzVector.h.

~TLorentzVector()

virtual TLorentzVector::~TLorentzVector ( )

inlinevirtual

Definition at line 61 of file TLorentzVector.h.

Member Function Documentation

Angle()

Double_t TLorentzVector::Angle ( const TVector3 &  v ) const

inline

Definition at line 478 of file TLorentzVector.h.

Beta()

Double_t TLorentzVector::Beta ( ) const

inline

Definition at line 503 of file TLorentzVector.h.

Boost() [1/2]

void TLorentzVector::Boost ( const TVector3 &  b )

inline

Definition at line 551 of file TLorentzVector.h.

Boost() [2/2]

void TLorentzVector::Boost	(	Double_t	bx,
		Double_t	by,
		Double_t	bz
	)

Definition at line 265 of file TLorentzVector.cxx.

BoostVector()

TVector3 TLorentzVector::BoostVector ( ) const

inline

Definition at line 547 of file TLorentzVector.h.

CosTheta()

Double_t TLorentzVector::CosTheta ( ) const

inline

Definition at line 305 of file TLorentzVector.h.

DeltaPhi()

Double_t TLorentzVector::DeltaPhi ( const TLorentzVector &  v ) const

inline

Definition at line 456 of file TLorentzVector.h.

DeltaR()

Double_t TLorentzVector::DeltaR ( const TLorentzVector &  v ) const

inline

Definition at line 463 of file TLorentzVector.h.

Dot()

Double_t TLorentzVector::Dot ( const TLorentzVector &  q ) const

inline

Definition at line 520 of file TLorentzVector.h.

DrEtaPhi()

Double_t TLorentzVector::DrEtaPhi ( const TLorentzVector &  v ) const

inline

Definition at line 469 of file TLorentzVector.h.

E()

Double_t TLorentzVector::E ( ) const

inline

Definition at line 285 of file TLorentzVector.h.

Energy()

Double_t TLorentzVector::Energy ( ) const

inline

Definition at line 286 of file TLorentzVector.h.

Et() [1/2]

Double_t TLorentzVector::Et ( ) const

inline

Definition at line 440 of file TLorentzVector.h.

Et() [2/2]

Double_t TLorentzVector::Et ( const TVector3 &  v ) const

inline

Definition at line 451 of file TLorentzVector.h.

Et2() [1/2]

Double_t TLorentzVector::Et2 ( ) const

inline

Definition at line 435 of file TLorentzVector.h.

Et2() [2/2]

Double_t TLorentzVector::Et2 ( const TVector3 &  v ) const

inline

Definition at line 445 of file TLorentzVector.h.

Eta()

Double_t TLorentzVector::Eta ( ) const

inline

Definition at line 460 of file TLorentzVector.h.

EtaPhiVector()

TVector2 TLorentzVector::EtaPhiVector ( )

inline

Definition at line 473 of file TLorentzVector.h.

Gamma()

Double_t TLorentzVector::Gamma ( ) const

inline

Definition at line 507 of file TLorentzVector.h.

GetXYZT() [1/2]

void TLorentzVector::GetXYZT ( Double_t *  carray ) const

inline

Definition at line 352 of file TLorentzVector.h.

GetXYZT() [2/2]

void TLorentzVector::GetXYZT ( Float_t *  carray ) const

inline

Definition at line 357 of file TLorentzVector.h.

M()

Double_t TLorentzVector::M ( ) const

inline

Definition at line 492 of file TLorentzVector.h.

M2()

Double_t TLorentzVector::M2 ( ) const

inline

Definition at line 491 of file TLorentzVector.h.

Mag()

Double_t TLorentzVector::Mag ( ) const

inline

Definition at line 486 of file TLorentzVector.h.

Mag2()

Double_t TLorentzVector::Mag2 ( ) const

inline

Definition at line 482 of file TLorentzVector.h.

Minus()

Double_t TLorentzVector::Minus ( ) const

inline

Definition at line 543 of file TLorentzVector.h.

Mt()

Double_t TLorentzVector::Mt ( ) const

inline

Definition at line 498 of file TLorentzVector.h.

Mt2()

Double_t TLorentzVector::Mt2 ( ) const

inline

Definition at line 494 of file TLorentzVector.h.

operator!=()

Bool_t TLorentzVector::operator!= ( const TLorentzVector &  q ) const

inline

Definition at line 409 of file TLorentzVector.h.

operator()() [1/2]

Double_t & TLorentzVector::operator() ( int  i )

inline

Definition at line 631 of file TLorentzVector.h.

operator()() [2/2]

Double_t TLorentzVector::operator() ( int  i ) const

inline

Definition at line 613 of file TLorentzVector.h.

operator*() [1/2]

Double_t TLorentzVector::operator* ( const TLorentzVector &  q ) const

inline

Definition at line 524 of file TLorentzVector.h.

operator*() [2/2]

TLorentzVector TLorentzVector::operator* ( Double_t  a ) const

inline

Definition at line 401 of file TLorentzVector.h.

operator*=() [1/3]

TLorentzVector & TLorentzVector::operator*=

(

const TLorentzRotation &

m

)

Definition at line 285 of file TLorentzVector.cxx.

operator*=() [2/3]

TLorentzVector & TLorentzVector::operator*= ( const TRotation &  m )

inline

Definition at line 579 of file TLorentzVector.h.

operator*=() [3/3]

TLorentzVector & TLorentzVector::operator*= ( Double_t  a )

inline

Definition at line 395 of file TLorentzVector.h.

operator+()

TLorentzVector TLorentzVector::operator+ ( const TLorentzVector &  q ) const

inline

Definition at line 371 of file TLorentzVector.h.

operator+=()

TLorentzVector & TLorentzVector::operator+= ( const TLorentzVector &  q )

inline

Definition at line 375 of file TLorentzVector.h.

operator-() [1/2]

TLorentzVector TLorentzVector::operator- ( ) const

inline

Definition at line 391 of file TLorentzVector.h.

operator-() [2/2]

TLorentzVector TLorentzVector::operator- ( const TLorentzVector &  q ) const

inline

Definition at line 381 of file TLorentzVector.h.

operator-=()

TLorentzVector & TLorentzVector::operator-= ( const TLorentzVector &  q )

inline

Definition at line 385 of file TLorentzVector.h.

operator=()

TLorentzVector & TLorentzVector::operator= ( const TLorentzVector &  q )

inline

Definition at line 365 of file TLorentzVector.h.

operator==()

Bool_t TLorentzVector::operator== ( const TLorentzVector &  q ) const

inline

Definition at line 405 of file TLorentzVector.h.

operator[]() [1/2]

Double_t & TLorentzVector::operator[] ( int  i )

inline

Definition at line 362 of file TLorentzVector.h.

operator[]() [2/2]

Double_t TLorentzVector::operator[] ( int  i ) const

inline

Definition at line 363 of file TLorentzVector.h.

P()

Double_t TLorentzVector::P ( ) const

inline

Definition at line 284 of file TLorentzVector.h.

Perp() [1/2]

Double_t TLorentzVector::Perp ( ) const

inline

Definition at line 415 of file TLorentzVector.h.

Perp() [2/2]

Double_t TLorentzVector::Perp ( const TVector3 &  v ) const

inline

Definition at line 427 of file TLorentzVector.h.

Perp2() [1/2]

Double_t TLorentzVector::Perp2 ( ) const

inline

Definition at line 413 of file TLorentzVector.h.

Perp2() [2/2]

Double_t TLorentzVector::Perp2 ( const TVector3 &  v ) const

inline

Definition at line 423 of file TLorentzVector.h.

Phi()

Double_t TLorentzVector::Phi ( ) const

inline

Definition at line 297 of file TLorentzVector.h.

Plus()

Double_t TLorentzVector::Plus ( ) const

inline

Definition at line 539 of file TLorentzVector.h.

Print()

void TLorentzVector::Print ( Option_t *  option = "" ) const

virtual

Print the TLorentz vector components as (x,y,z,t) and (P,eta,phi,E) representations.

Reimplemented from TObject.

Definition at line 325 of file TLorentzVector.cxx.

PseudoRapidity()

Double_t TLorentzVector::PseudoRapidity ( ) const

inline

Definition at line 555 of file TLorentzVector.h.

Pt() [1/2]

Double_t TLorentzVector::Pt ( ) const

inline

Definition at line 417 of file TLorentzVector.h.

Pt() [2/2]

Double_t TLorentzVector::Pt ( const TVector3 &  v ) const

inline

Definition at line 431 of file TLorentzVector.h.

Px()

Double_t TLorentzVector::Px ( ) const

inline

Definition at line 281 of file TLorentzVector.h.

Py()

Double_t TLorentzVector::Py ( ) const

inline

Definition at line 282 of file TLorentzVector.h.

Pz()

Double_t TLorentzVector::Pz ( ) const

inline

Definition at line 283 of file TLorentzVector.h.

Rapidity()

Double_t TLorentzVector::Rapidity

(

)

const

Definition at line 279 of file TLorentzVector.cxx.

Rho()

Double_t TLorentzVector::Rho ( ) const

inline

Definition at line 310 of file TLorentzVector.h.

Rotate()

void TLorentzVector::Rotate ( Double_t  a, const TVector3 &  v  )

inline

Definition at line 575 of file TLorentzVector.h.

RotateUz()

void TLorentzVector::RotateUz ( const TVector3 &  newUzVector )

inline

Definition at line 571 of file TLorentzVector.h.

RotateX()

void TLorentzVector::RotateX ( Double_t  angle )

inline

Definition at line 559 of file TLorentzVector.h.

RotateY()

void TLorentzVector::RotateY ( Double_t  angle )

inline

Definition at line 563 of file TLorentzVector.h.

RotateZ()

void TLorentzVector::RotateZ ( Double_t  angle )

inline

Definition at line 567 of file TLorentzVector.h.

SetE()

void TLorentzVector::SetE ( Double_t  a )

inline

Definition at line 291 of file TLorentzVector.h.

SetPerp()

void TLorentzVector::SetPerp ( Double_t  r )

inline

Definition at line 419 of file TLorentzVector.h.

SetPhi()

void TLorentzVector::SetPhi ( Double_t  phi )

inline

Definition at line 318 of file TLorentzVector.h.

SetPtEtaPhiE()

void TLorentzVector::SetPtEtaPhiE ( Double_t  pt, Double_t  eta, Double_t  phi, Double_t  e  )

inline

Definition at line 347 of file TLorentzVector.h.

SetPtEtaPhiM()

void TLorentzVector::SetPtEtaPhiM ( Double_t  pt, Double_t  eta, Double_t  phi, Double_t  m  )

inline

Definition at line 342 of file TLorentzVector.h.

SetPx()

void TLorentzVector::SetPx ( Double_t  a )

inline

Definition at line 288 of file TLorentzVector.h.

SetPxPyPzE()

void TLorentzVector::SetPxPyPzE ( Double_t  px, Double_t  py, Double_t  pz, Double_t  e  )

inline

Definition at line 331 of file TLorentzVector.h.

SetPy()

void TLorentzVector::SetPy ( Double_t  a )

inline

Definition at line 289 of file TLorentzVector.h.

SetPz()

void TLorentzVector::SetPz ( Double_t  a )

inline

Definition at line 290 of file TLorentzVector.h.

SetRho()

void TLorentzVector::SetRho ( Double_t  rho )

inline

Definition at line 322 of file TLorentzVector.h.

SetT()

void TLorentzVector::SetT ( Double_t  a )

inline

Definition at line 279 of file TLorentzVector.h.

SetTheta()

void TLorentzVector::SetTheta ( Double_t  theta )

inline

Definition at line 314 of file TLorentzVector.h.

SetVect()

void TLorentzVector::SetVect ( const TVector3 &  vect3 )

inline

Definition at line 295 of file TLorentzVector.h.

SetVectM()

void TLorentzVector::SetVectM ( const TVector3 &  spatial, Double_t  mass  )

inline

Definition at line 516 of file TLorentzVector.h.

SetVectMag()

void TLorentzVector::SetVectMag ( const TVector3 &  spatial, Double_t  magnitude  )

inline

Definition at line 512 of file TLorentzVector.h.

SetX()

void TLorentzVector::SetX ( Double_t  a )

inline

Definition at line 276 of file TLorentzVector.h.

SetXYZM()

void TLorentzVector::SetXYZM ( Double_t  x, Double_t  y, Double_t  z, Double_t  m  )

inline

Definition at line 335 of file TLorentzVector.h.

SetXYZT()

void TLorentzVector::SetXYZT ( Double_t  x, Double_t  y, Double_t  z, Double_t  t  )

inline

Definition at line 326 of file TLorentzVector.h.

SetY()

void TLorentzVector::SetY ( Double_t  a )

inline

Definition at line 277 of file TLorentzVector.h.

SetZ()

void TLorentzVector::SetZ ( Double_t  a )

inline

Definition at line 278 of file TLorentzVector.h.

T()

Double_t TLorentzVector::T ( ) const

inline

Definition at line 274 of file TLorentzVector.h.

Theta()

Double_t TLorentzVector::Theta ( ) const

inline

Definition at line 301 of file TLorentzVector.h.

Transform() [1/2]

TLorentzVector & TLorentzVector::Transform

(

const TLorentzRotation &

m

)

Definition at line 291 of file TLorentzVector.cxx.

Transform() [2/2]

TLorentzVector & TLorentzVector::Transform ( const TRotation &  m )

inline

Definition at line 584 of file TLorentzVector.h.

Vect()

TVector3 TLorentzVector::Vect ( ) const

inline

Definition at line 293 of file TLorentzVector.h.

X()

Double_t TLorentzVector::X ( ) const

inline

Definition at line 271 of file TLorentzVector.h.

Y()

Double_t TLorentzVector::Y ( ) const

inline

Definition at line 272 of file TLorentzVector.h.

Z()

Double_t TLorentzVector::Z ( ) const

inline

Definition at line 273 of file TLorentzVector.h.

Member Data Documentation

fE

Double_t TLorentzVector::fE

private

Definition at line 37 of file TLorentzVector.h.

fP

TVector3 TLorentzVector::fP

private

Definition at line 36 of file TLorentzVector.h.

Libraries for TLorentzVector:

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