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').

b

#define b(i)

Definition: RSha256.hxx:100

ROOT::Math::Cephes::gamma

double gamma(double x)

Definition: SpecFuncCephes.cxx:339

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

r

ROOT::R::TRInterface & r

Definition: Object.C:4

TRotation

The TRotation class describes a rotation of objects of the TVector3 class.

Definition: TRotation.h:20

Misc

Angle between two vectors

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

TLorentzVector::Angle

Double_t Angle(const TVector3 &v) const

Definition: TLorentzVector.h:478

a

auto * a

Definition: textangle.C:12

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 (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:

[legend]

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 250 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 270 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 310 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 264 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 ( 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 276 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:

[legend]

Declaration

Access to the components

Vector components in non-cartesian coordinate systems

Arithmetic and comparison operators

Magnitude/Invariant mass, beta, gamma, scalar product

Lorentz boost

Rotations

rotation around axes

rotation around an arbitrary axis

transformation from rotated frame

by TRotation (see TRotation)

Misc

Angle between two vectors

Light-cone components

Transformation by TLorentzRotation

Public Types

Public Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

◆ Scalar

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TLorentzVector() [1/6]

◆ TLorentzVector() [2/6]

◆ TLorentzVector() [3/6]

◆ TLorentzVector() [4/6]

◆ TLorentzVector() [5/6]

◆ TLorentzVector() [6/6]

◆ ~TLorentzVector()

Member Function Documentation

◆ Angle()

◆ Beta()

◆ Boost() [1/2]

◆ Boost() [2/2]

◆ BoostVector()

◆ CosTheta()

◆ DeltaPhi()

◆ DeltaR()

◆ Dot()

◆ DrEtaPhi()

◆ E()

◆ Energy()

◆ Et() [1/2]

◆ Et() [2/2]

◆ Et2() [1/2]

◆ Et2() [2/2]

◆ Eta()

◆ EtaPhiVector()

◆ Gamma()

◆ GetXYZT() [1/2]

◆ GetXYZT() [2/2]

◆ M()

◆ M2()

◆ Mag()

◆ Mag2()

◆ Minus()

◆ Mt()

◆ Mt2()

◆ operator!=()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ P()

◆ Perp() [1/2]

◆ Perp() [2/2]