1 //---------------------------------------------------------------------------------
2 // The AliKFParticleBase class
4 // @author S.Gorbunov, I.Kisel, I.Kulakov, M.Zyzak
8 // Class to reconstruct and store the decayed particle parameters.
9 // The method is described in CBM-SOFT note 2007-003,
10 // ``Reconstruction of decayed particles based on the Kalman filter'',
11 // http://www.gsi.de/documents/DOC-2007-May-14-1.pdf
13 // This class describes general mathematics which is used by AliKFParticle class
15 // -= Copyright © ALICE HLT Group =-
16 //_________________________________________________________________________________
20 #ifndef ALIKFPARTICLEBASE_H
21 #define ALIKFPARTICLEBASE_H
25 class AliKFParticleBase :public TObject {
30 //* ABSTRACT METHODS HAVE TO BE DEFINED IN USER CLASS
33 //* Virtual method to access the magnetic field
35 virtual void GetFieldValue(const Double_t xyz[], Double_t B[]) const = 0;
37 //* Virtual methods needed for particle transportation
38 //* One can use particular implementations for collider (only Bz component)
39 //* geometry and for fixed-target (CBM-like) geometry which are provided below
40 //* in TRANSPORT section
42 //* Get dS to xyz[] space point
44 virtual Double_t GetDStoPoint( const Double_t xyz[] ) const = 0;
46 //* Get dS to other particle p (dSp for particle p also returned)
48 virtual void GetDStoParticle( const AliKFParticleBase &p,
49 Double_t &DS, Double_t &DSp ) const = 0;
51 //* Transport on dS value along trajectory, output to P,C
53 virtual void Transport( Double_t dS, Double_t P[], Double_t C[] ) const = 0;
67 virtual ~AliKFParticleBase() { ; }
69 //* Initialisation from "cartesian" coordinates ( X Y Z Px Py Pz )
70 //* Parameters, covariance matrix, charge, and mass hypothesis should be provided
72 void Initialize( const Double_t Param[], const Double_t Cov[], Int_t Charge, Double_t Mass );
74 //* Initialise covariance matrix and set current parameters to 0.0
78 //* Set decay vertex parameters for linearisation
80 void SetVtxGuess( Double_t x, Double_t y, Double_t z );
82 //* Set consruction method
84 void SetConstructMethod(Int_t m) {fConstructMethod = m;}
86 //* Set and get mass hypothesis of the particle
87 void SetMassHypo(Double_t m) { fMassHypo = m;}
88 const Double_t& GetMassHypo() const { return fMassHypo; }
90 //* Returns the sum of masses of the daughters
91 const Double_t& GetSumDaughterMass() const {return SumDaughterMass;}
99 Double_t GetX () const { return fP[0]; }
100 Double_t GetY () const { return fP[1]; }
101 Double_t GetZ () const { return fP[2]; }
102 Double_t GetPx () const { return fP[3]; }
103 Double_t GetPy () const { return fP[4]; }
104 Double_t GetPz () const { return fP[5]; }
105 Double_t GetE () const { return fP[6]; }
106 Double_t GetS () const { return fP[7]; }
107 Int_t GetQ () const { return fQ; }
108 Double_t GetChi2 () const { return fChi2; }
109 Int_t GetNDF () const { return fNDF; }
111 const Double_t& X () const { return fP[0]; }
112 const Double_t& Y () const { return fP[1]; }
113 const Double_t& Z () const { return fP[2]; }
114 const Double_t& Px () const { return fP[3]; }
115 const Double_t& Py () const { return fP[4]; }
116 const Double_t& Pz () const { return fP[5]; }
117 const Double_t& E () const { return fP[6]; }
118 const Double_t& S () const { return fP[7]; }
119 const Int_t & Q () const { return fQ; }
120 const Double_t& Chi2 () const { return fChi2; }
121 const Int_t & NDF () const { return fNDF; }
124 Double_t GetParameter ( Int_t i ) const { return fP[i]; }
125 Double_t GetCovariance( Int_t i ) const { return fC[i]; }
126 Double_t GetCovariance( Int_t i, Int_t j ) const { return fC[IJ(i,j)]; }
128 //* Accessors with calculations( &value, &estimated sigma )
129 //* error flag returned (0 means no error during calculations)
131 Int_t GetMomentum ( Double_t &P, Double_t &SigmaP ) const ;
132 Int_t GetPt ( Double_t &Pt, Double_t &SigmaPt ) const ;
133 Int_t GetEta ( Double_t &Eta, Double_t &SigmaEta ) const ;
134 Int_t GetPhi ( Double_t &Phi, Double_t &SigmaPhi ) const ;
135 Int_t GetMass ( Double_t &M, Double_t &SigmaM ) const ;
136 Int_t GetDecayLength ( Double_t &L, Double_t &SigmaL ) const ;
137 Int_t GetDecayLengthXY ( Double_t &L, Double_t &SigmaL ) const ;
138 Int_t GetLifeTime ( Double_t &T, Double_t &SigmaT ) const ;
139 Int_t GetR ( Double_t &R, Double_t &SigmaR ) const ;
145 Double_t & X () { return fP[0]; }
146 Double_t & Y () { return fP[1]; }
147 Double_t & Z () { return fP[2]; }
148 Double_t & Px () { return fP[3]; }
149 Double_t & Py () { return fP[4]; }
150 Double_t & Pz () { return fP[5]; }
151 Double_t & E () { return fP[6]; }
152 Double_t & S () { return fP[7]; }
153 Int_t & Q () { return fQ; }
154 Double_t & Chi2 () { return fChi2; }
155 Int_t & NDF () { return fNDF; }
159 Double_t & Parameter ( Int_t i ) { return fP[i]; }
160 Double_t & Covariance( Int_t i ) { return fC[i]; }
161 Double_t & Covariance( Int_t i, Int_t j ) { return fC[IJ(i,j)]; }
165 //* CONSTRUCTION OF THE PARTICLE BY ITS DAUGHTERS AND MOTHER
166 //* USING THE KALMAN FILTER METHOD
170 //* Simple way to add daughter ex. D0+= Pion;
172 void operator +=( const AliKFParticleBase &Daughter );
174 //* Add daughter track to the particle
176 void AddDaughter( const AliKFParticleBase &Daughter );
178 void AddDaughterWithEnergyFit( const AliKFParticleBase &Daughter );
179 void AddDaughterWithEnergyCalc( const AliKFParticleBase &Daughter );
180 void AddDaughterWithEnergyFitMC( const AliKFParticleBase &Daughter ); //with mass constrained
182 //* Set production vertex
184 void SetProductionVertex( const AliKFParticleBase &Vtx );
186 //* Set mass constraint
188 void SetNonlinearMassConstraint( Double_t Mass );
189 void SetMassConstraint( Double_t Mass, Double_t SigmaMass = 0 );
191 //* Set no decay length for resonances
193 void SetNoDecayLength();
196 //* Everything in one go
198 void Construct( const AliKFParticleBase *vDaughters[], Int_t NDaughters,
199 const AliKFParticleBase *ProdVtx=0, Double_t Mass=-1, Bool_t IsConstrained=0 );
205 //* ( main transportation parameter is S = SignedPath/Momentum )
206 //* ( parameters of decay & production vertices are stored locally )
210 //* Transport the particle to its decay vertex
212 void TransportToDecayVertex();
214 //* Transport the particle to its production vertex
216 void TransportToProductionVertex();
218 //* Transport the particle on dS parameter (SignedPath/Momentum)
220 void TransportToDS( Double_t dS );
222 //* Particular extrapolators one can use
224 Double_t GetDStoPointBz( Double_t Bz, const Double_t xyz[] ) const;
226 void GetDStoParticleBz( Double_t Bz, const AliKFParticleBase &p,
227 Double_t &dS, Double_t &dS1 ) const ;
229 // Double_t GetDStoPointCBM( const Double_t xyz[] ) const;
231 void TransportBz( Double_t Bz, Double_t dS, Double_t P[], Double_t C[] ) const;
232 void TransportCBM( Double_t dS, Double_t P[], Double_t C[] ) const;
239 //* Calculate distance from another object [cm]
241 Double_t GetDistanceFromVertex( const Double_t vtx[] ) const;
242 Double_t GetDistanceFromVertex( const AliKFParticleBase &Vtx ) const;
243 Double_t GetDistanceFromParticle( const AliKFParticleBase &p ) const;
245 //* Calculate sqrt(Chi2/ndf) deviation from vertex
246 //* v = [xyz], Cv=[Cxx,Cxy,Cyy,Cxz,Cyz,Czz]-covariance matrix
248 Double_t GetDeviationFromVertex( const Double_t v[],
249 const Double_t Cv[]=0 ) const;
250 Double_t GetDeviationFromVertex( const AliKFParticleBase &Vtx ) const;
251 Double_t GetDeviationFromParticle( const AliKFParticleBase &p ) const;
253 //* Subtract the particle from the vertex
255 void SubtractFromVertex( AliKFParticleBase &Vtx ) const;
257 //* Special method for creating gammas
259 void ConstructGammaBz( const AliKFParticleBase &daughter1,
260 const AliKFParticleBase &daughter2, double Bz );
262 //* return parameters for the Armenteros-Podolanski plot
263 static void GetArmenterosPodolanski(AliKFParticleBase& positive, AliKFParticleBase& negative, Double_t QtAlfa[2] );
265 //* Rotates the KFParticle object around OZ axis, OZ axis is set by the vertex position
266 void RotateXY(Double_t angle, Double_t Vtx[3]);
270 static Int_t IJ( Int_t i, Int_t j ){
271 return ( j<=i ) ? i*(i+1)/2+j :j*(j+1)/2+i;
274 Double_t & Cij( Int_t i, Int_t j ){ return fC[IJ(i,j)]; }
276 void Convert( bool ToProduction );
277 void TransportLine( Double_t S, Double_t P[], Double_t C[] ) const ;
278 Double_t GetDStoPointLine( const Double_t xyz[] ) const;
280 static Bool_t InvertSym3( const Double_t A[], Double_t Ainv[] );
282 static void MultQSQt( const Double_t Q[], const Double_t S[],
285 static Double_t GetSCorrection( const Double_t Part[], const Double_t XYZ[] );
287 void GetMeasurement( const Double_t XYZ[], Double_t m[], Double_t V[] ) const ;
289 //* Mass constraint function. is needed for the nonlinear mass constraint and a fit with mass constraint
290 void SetMassConstraint( Double_t *mP, Double_t *mC, Double_t J[7][7], Double_t Mass );
292 Double_t fP[8]; //* Main particle parameters {X,Y,Z,Px,Py,Pz,E,S[=DecayLength/P]}
293 Double_t fC[36]; //* Low-triangle covariance matrix of fP
294 Int_t fQ; //* Particle charge
295 Int_t fNDF; //* Number of degrees of freedom
296 Double_t fChi2; //* Chi^2
298 Double_t fSFromDecay; //* Distance from decay vertex to current position
300 Bool_t fAtProductionVertex; //* Flag shows that the particle error along
301 //* its trajectory is taken from production vertex
303 Double_t fVtxGuess[3]; //* Guess for the position of the decay vertex
304 //* ( used for linearisation of equations )
306 Bool_t fIsLinearized; //* Flag shows that the guess is present
308 //* Determines the method for the particle construction.
309 //* 0 - Energy considered as an independent veriable, fitted independently from momentum, without any constraints on mass
310 //* 1 - Energy considered as a dependent variable, calculated from the momentum and mass hypothesis
311 //* 2 - Energy considered as an independent variable, fitted independently from momentum, with constraints on mass of daughter particle
312 Int_t fConstructMethod;
314 Double_t SumDaughterMass; //* sum of the daughter particles masses
315 Double_t fMassHypo; //* sum of the daughter particles masses
317 ClassDef( AliKFParticleBase, 1 );