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da0e9ce3 1//--------------------------------------------------------------------------
2//
3// Environment:
4// This software is part of the EvtGen package developed jointly
5// for the BaBar and CLEO collaborations. If you use all or part
6// of it, please give an appropriate acknowledgement.
7//
8// Copyright Information: See EvtGen/COPYRIGHT
9// Copyright (C) 1998 Caltech, UCSB
10//
11// Module: EvtSVVHelCPMix.cc
12//
13// Description: Routine to decay scalar -> 2 vectors
14// by specifying the helicity amplitudes, taking appropriate
15// weak phases into account to get mixing and CP violation through
16// interference. Based on EvtSVVHelAmp. Particularly appropriate for
17// Bs->J/Psi+Phi
18//
19// Modification history:
20//
21// RYD November 24, 1996 EvtSVVHelAmp Module
22// CATMORE March 2004 Modified to EvtSVVHelCPMix
23//
24// Model takes the following as user-specified arguments:
25// deltaM, averageM - mass diference and average of light and heavy mass eigenstates (real scalars)
26// gamma, deltagamma - average width and width difference of the l and h eigenstates (real scalars)
27// delta1, delta2 - strong phases (real scalars)
28// direct weak phase (real scalar) (for Bs->JPsiPhi this will be zero)
29// weak mixing phase (real scalar) (this is equal to 2*arg(Vts Vtb) for Bs->JPsiPhi)
30// Magnitudes of helicity amplitudes as in SVV_HELAMP
31// See Phys Rev D 34 p1404 - p1417 and chapters 5 and 7 of Physics Reports 370 p537-680 for more details
32//------------------------------------------------------------------------
33//
34#ifdef WIN32
35 #pragma warning( disable : 4786 )
36 // Disable anoying warning about symbol size
37#endif
38#include <iostream>
39#include <fstream>
40#include <stdlib.h>
41#include <ctype.h>
42#include "EvtGenBase/EvtParticle.hh"
43#include "EvtGenBase/EvtGenKine.hh"
44#include "EvtGenBase/EvtPDL.hh"
45#include "EvtGenBase/EvtVector4C.hh"
46#include "EvtGenBase/EvtTensor4C.hh"
47#include "EvtGenBase/EvtVector3C.hh"
48#include "EvtGenBase/EvtVector3R.hh"
49#include "EvtGenBase/EvtTensor3C.hh"
50#include "EvtGenBase/EvtReport.hh"
51#include "EvtGenModels/EvtSVVHelCPMix.hh"
52#include "EvtGenBase/EvtId.hh"
53#include <string>
54
55EvtSVVHelCPMix::~EvtSVVHelCPMix() {}
56
57std::string EvtSVVHelCPMix::getName(){
58
59 return "SVVHELCPMIX";
60
61}
62
63
64EvtDecayBase* EvtSVVHelCPMix::clone(){
65
66 return new EvtSVVHelCPMix;
67
68}
69
70void EvtSVVHelCPMix::init(){
71
72 // check that there are 12 arguments
73 checkNArg(12);
74 checkNDaug(2);
75
76 checkSpinParent(EvtSpinType::SCALAR);
77
78 checkSpinDaughter(0,EvtSpinType::VECTOR);
79 checkSpinDaughter(1,EvtSpinType::VECTOR);
80
81 hp = EvtComplex(getArg(0)*cos(getArg(1)),getArg(0)*sin(getArg(1)));
82 h0 = EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
83 hm = EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
84 averageM = getArg(6);
85 deltaM = getArg(7);
86 gamma = getArg(8);
87 deltagamma = getArg(9);
88 weakmixingphase = EvtComplex(cos(getArg(10)),sin(getArg(10)));
89 weakdirectphase = EvtComplex(cos(getArg(11)),sin(getArg(11)));
90}
91
92
93void EvtSVVHelCPMix::initProbMax(){
94
95 setProbMax(getArg(0)*getArg(0)+getArg(2)*getArg(2)+getArg(4)*getArg(4));
96
97}
98
99
100void EvtSVVHelCPMix::decay( EvtParticle *p){
101
102 EvtParticle* parent = p;
103 EvtAmp& amp = _amp2;
104 EvtId n_v1 = getDaug(0);
105 EvtId n_v2 = getDaug(1);
106
107 // Routine to decay a vector into a vector and scalar. Started
108 // by ryd on Oct 17, 1996.
109 // Modified by J.Catmore to take account of CP-violation and mixing
110
111 int tndaug = 2;
112 EvtId tdaug[2];
113 EvtId Bs=EvtPDL::getId("B_s0");
114 EvtId antiBs=EvtPDL::getId("anti-B_s0");
115 tdaug[0] = n_v1;
116 tdaug[1] = n_v2;
117
118// Phase space and kinematics
119
120 parent->initializePhaseSpace(tndaug,tdaug);
121
122 EvtParticle *v1,*v2;
123 v1 = parent->getDaug(0);
124 v2 = parent->getDaug(1);
125
126 EvtVector4R momv1 = v1->getP4();
127 EvtVector4R momv2 = v2->getP4();
128
129 EvtVector3R v1dir(momv1.get(1),momv1.get(2),momv1.get(3));
130 v1dir=v1dir/v1dir.d3mag();
131
132// Definition of quantities used in construction of complex amplitudes:
133
134EvtTensor3C M; // Tensor as defined in EvtGen manual, equ 117
135EvtComplex a,b,c; // Helicity amplitudes; EvtGen manual eqns 126-128, also see Phys Lett B 369 p144-150 eqn 15
136EvtComplex deltamu = EvtComplex(deltaM, -0.5*deltagamma); // See Phys Rev D 34 p1404
137
138// conversion from times in mm/c to natural units [GeV]^-1
139double t = ((parent->getLifetime())/2.998e11)*6.58e-25;
140
141// The following two quantities defined in Phys Rev D 34 p1404
142EvtComplex fplus = EvtComplex(cos(averageM*t),-1.*sin(averageM*t))*exp(-(gamma/2.0)*t)*
143 (cos(0.5*deltaM*t)*cosh(0.25*deltagamma*t)+EvtComplex(0.0,sin(0.5*deltaM*t)*sinh(0.25*deltagamma*t)));
144EvtComplex fminus = EvtComplex(cos(averageM*t), -1.*sin(averageM*t))*exp(-(gamma/2.0)*t)*EvtComplex(0.0,1.0)*
145 (sin(0.5*deltaM*t)*cosh(0.25*deltagamma*t)-EvtComplex(0.0,1.0)*sinh(0.25*deltagamma*t)*cos(0.5*deltaM*t));
146
147// See EvtGen manual pp 106-107
148
149 a=-0.5*(hp+hm);
150 b=EvtComplex(0.0,0.5)*(hp-hm);
151 c=(h0+0.5*(hp+hm));
152
153 M=a*EvtTensor3C::id()+
154 b*eps(v1dir)+
155 c*directProd(v1dir,v1dir);
156
157 EvtVector3C t0=M.cont1(v1->eps(0).vec().conj());
158 EvtVector3C t1=M.cont1(v1->eps(1).vec().conj());
159 EvtVector3C t2=M.cont1(v1->eps(2).vec().conj());
160
161 EvtVector3C eps0=v2->eps(0).vec().conj();
162 EvtVector3C eps1=v2->eps(1).vec().conj();
163 EvtVector3C eps2=v2->eps(2).vec().conj();
164
165// We need two sets of equations, one for mesons which were in the Bs state at t=0, and another
166// for those which were in the antiBs state. Each equation consists of a sum of amplitudes - mod-squaring gives the interference terms.
167
168 EvtComplex amplSum00, amplSum01, amplSum02;
169 EvtComplex amplSum10, amplSum11, amplSum12;
170 EvtComplex amplSum20, amplSum21, amplSum22;
171
172 // First the Bs state:
173
174 if (parent->getId()==Bs) {
175
176 amplSum00 = (fplus*weakdirectphase*t0*eps0) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t0*eps0);
177 amplSum01 = (fplus*weakdirectphase*t0*eps1) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t0*eps1);
178 amplSum02 = (fplus*weakdirectphase*t0*eps2) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t0*eps2);
179
180 amplSum10 = (fplus*weakdirectphase*t1*eps0) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t1*eps0);
181 amplSum11 = (fplus*weakdirectphase*t1*eps1) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t1*eps1);
182 amplSum12 = (fplus*weakdirectphase*t1*eps2) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t1*eps2);
183
184 amplSum20 = (fplus*weakdirectphase*t2*eps0) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t2*eps0);
185 amplSum21 = (fplus*weakdirectphase*t2*eps1) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t2*eps1);
186 amplSum22 = (fplus*weakdirectphase*t2*eps2) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t2*eps2);
187 }
188
189 // Now the anti-Bs state:
190
191 if (parent->getId()==antiBs) {
192
193 amplSum00 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t0*eps0) + (fplus*(1.0/weakdirectphase)*t0*eps0);
194 amplSum01 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t0*eps1) + (fplus*(1.0/weakdirectphase)*t0*eps1);
195 amplSum02 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t0*eps2) + (fplus*(1.0/weakdirectphase)*t0*eps2);
196
197 amplSum10 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t1*eps0) + (fplus*(1.0/weakdirectphase)*t1*eps0);
198 amplSum11 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t1*eps1) + (fplus*(1.0/weakdirectphase)*t1*eps1);
199 amplSum12 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t1*eps2) + (fplus*(1.0/weakdirectphase)*t1*eps2);
200
201 amplSum20 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t2*eps0) + (fplus*(1.0/weakdirectphase)*t2*eps0);
202 amplSum21 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t2*eps1) + (fplus*(1.0/weakdirectphase)*t2*eps1);
203 amplSum22 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t2*eps2) + (fplus*(1.0/weakdirectphase)*t2*eps2);
204
205 }
206
207 // Now set the amplitude
208
209 amp.vertex(0,0,amplSum00);
210 report(INFO,"EvtGen") << "00: " << amplSum00 << std::endl;
211 amp.vertex(0,1,amplSum01);
212 report(INFO,"EvtGen") << "01: " << amplSum01 << std::endl;
213 amp.vertex(0,2,amplSum02);
214 report(INFO,"EvtGen") << "02: " << amplSum02 << std::endl;
215
216 amp.vertex(1,0,amplSum10);
217 report(INFO,"EvtGen") << "10: " << amplSum10 << std::endl;
218 amp.vertex(1,1,amplSum11);
219 report(INFO,"EvtGen") << "11: " << amplSum11 << std::endl;
220 amp.vertex(1,2,amplSum12);
221 report(INFO,"EvtGen") << "12: " << amplSum12 << std::endl;
222
223 amp.vertex(2,0,amplSum20);
224 report(INFO,"EvtGen") << "20: " << amplSum20 << std::endl;
225 amp.vertex(2,1,amplSum21);
226 report(INFO,"EvtGen") << "21: " << amplSum21 << std::endl;
227 amp.vertex(2,2,amplSum22);
228 report(INFO,"EvtGen") << "22: " << amplSum22 << std::endl;
229
230 return ;
231
232}
233
234