Fix bug in building local list of valid files.
[u/mrichter/AliRoot.git] / TEvtGen / EvtGenModels / EvtVubAC.cpp
CommitLineData
da0e9ce3 1
2//////////////////////////////////////////////////////////////////////
3//
4// Module: EvtVubAC.cc
5// Analytic Coupling Model (based on hep-ph/0608047 by Aglietti, Ferrera and Ricciardi)
6// Author: Michael Sigamani May 2008
7//
8///////////////////////////////////////////////////////////////
9
10#include "EvtGenBase/EvtPatches.hh"
11#include <stdlib.h>
12#include "EvtGenBase/EvtParticle.hh"
13#include "EvtGenBase/EvtGenKine.hh"
14#include "EvtGenBase/EvtPDL.hh"
15#include "EvtGenBase/EvtReport.hh"
16#include "EvtGenModels/EvtVubAC.hh"
17#include <string>
18#include "EvtGenBase/EvtVector4R.hh"
19#include "EvtGenModels/EvtPFermi.hh"
20#include "EvtGenBase/EvtRandom.hh"
21
22using std::cout;
23using std::endl;
24
25EvtVubAC::~EvtVubAC() {
26}
27
28std::string EvtVubAC::getName(){
29 return "VUB_AC";
30}
31
32 EvtDecayBase *EvtVubAC::clone() {
33 return new EvtVubAC;
34}
35
36void EvtVubAC::init() {
37
38 // get parameters (declared in the header file)
39
40 // B Meson mass
41 mB = 5.2792;
42
43 // Perturbative quantities
44 CF = 4.0/3.0;
45 CA = 3.0;
46 double nf = 3.0;
47
48 //Constants
49 alphaSmZ = getArg(0);
50 c = 0.04;
51 q = 0.01;
52 k = 0.02;
53
54 beta0 = (11.0/3.0*CA - 2.0/3.0*nf)/(4*M_PI);
55 alphaSmB = 0.22*alphaSmZ/0.1189;
56
57 gvars.push_back(0.0); // 0
58 gvars.push_back(0.0); // 1
59 gvars.push_back(0.0); // 2
60 gvars.push_back(alphaSmB); // 3
61 gvars.push_back(alphaSmZ); // 4
62 gvars.push_back(mB); // 5
63 gvars.push_back(beta0); // 6
64 gvars.push_back(c); // 7
65 gvars.push_back(q); // 8
66 gvars.push_back(k); // 9
67
68 // check that there are 3 daughters and 1 argument
69 checkNDaug(3);
70 checkNArg(1);
71
72}
73
74void EvtVubAC::initProbMax() {
75 noProbMax();
76}
77
78void EvtVubAC::decay(EvtParticle *Bmeson) {
79
80 int j;
81
82 EvtParticle *xuhad, *lepton, *neutrino;
83 EvtVector4R p4;
84 double u, w, xb, Pp, Pm, pdf, ml, PX(0.0), EX(0.0), sh(0.0), El(0.0) ;
85
86 Bmeson->initializePhaseSpace(getNDaug(), getDaugs());
87
88 xuhad = Bmeson->getDaug(0);
89 lepton = Bmeson->getDaug(1);
90 neutrino = Bmeson ->getDaug(2);
91
92 ml = lepton->mass();
93
94 bool tryit = true;
95 while (tryit) {
96
97 double mpi = 0.14;
98 u = EvtRandom::Flat(0.0,1.0);
99 w = EvtRandom::Flat(0.0,2.0);
100 xb = EvtRandom::Flat(0.0,1.0);
101
102 EX = w*mB/2.0;
103 PX = EX*(1.0-u)/(u+1.0);
104 El = (1.0-xb)*mB/2.0;
105 Pp = (EX-PX);
106 Pm = (EX+PX);
107 sh = Pm*Pp;
108
109 if ( ((w*u)/(1.0+u) < xb) && (xb < w/(1.0+u)) && (max(0, w - 1.0) < u) && (sh > 4.0*mpi*mpi) && ( El > ml ) ){
110
111 pdf = rate(u,w,xb);
112 double testRan = EvtRandom::Flat(0.0,24.2);
113 if (pdf >= testRan) tryit = false;
114 }
115
116 }
117
118 // o.k. we have the three kinemtic variables
119 // now calculate a flat cos Theta_H [-1,1] distribution of the
120 // hadron flight direction w.r.t the B flight direction
121 // because the B is a scalar and should decay isotropic.
122 // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
123 // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
124 // W flight direction.
125
126 double ctH = EvtRandom::Flat(-1,1);
127 double phH = EvtRandom::Flat(0,2*M_PI);
128 double phL = EvtRandom::Flat(0,2*M_PI);
129
130 // now compute the four vectors in the B Meson restframe
131
132 double ptmp,sttmp;
133 // calculate the hadron 4 vector in the B Meson restframe
134
135 sttmp = sqrt(1-ctH*ctH);
136 ptmp = sqrt(EX*EX-sh);
137 double pHB[4] = {EX,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
138 p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
139 xuhad->init( getDaug(0), p4);
140
141 // calculate the W 4 vector in the B Meson restrframe
142
143 double apWB = ptmp;
144 double pWB[4] = {mB-EX,-pHB[1],-pHB[2],-pHB[3]};
145
146 // first go in the W restframe and calculate the lepton and
147 // the neutrino in the W frame
148
149 double mW2 = mB*mB + sh - 2*mB*EX;
150 double beta = ptmp/pWB[0];
151 double gamma = pWB[0]/sqrt(mW2);
152
153 double pLW[4];
154
155 ptmp = (mW2-ml*ml)/2/sqrt(mW2);
156 pLW[0] = sqrt(ml*ml + ptmp*ptmp);
157
158 double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
159 if ( ctL < -1 ) ctL = -1;
160 if ( ctL > 1 ) ctL = 1;
161 sttmp = sqrt(1-ctL*ctL);
162
163 // eX' = eZ x eW
164 double xW[3] = {-pWB[2],pWB[1],0};
165 // eZ' = eW
166 double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
167
168 double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
169 for (j=0;j<2;j++)
170 xW[j] /= lx;
171
172 // eY' = eZ' x eX'
173 double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
174 double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
175 for (j=0;j<3;j++)
176 yW[j] /= ly;
177
178 // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
179 // + sin(Theta) * sin(Phi) * eY'
180 // + cos(Theta) * eZ')
181 for (j=0;j<3;j++)
182 pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
183 + sttmp*sin(phL)*ptmp*yW[j]
184 + ctL *ptmp*zW[j];
185
186 double apLW = ptmp;
187
188 // boost them back in the B Meson restframe
189
190 double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
191
192 ptmp = sqrt(El*El-ml*ml);
193 double ctLL = appLB/ptmp;
194
195 if ( ctLL > 1 ) ctLL = 1;
196 if ( ctLL < -1 ) ctLL = -1;
197
198 double pLB[4] = {El,0,0,0};
199 double pNB[4] = {pWB[0]-El,0,0,0};
200
201 for (j=1;j<4;j++) {
202 pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
203 pNB[j] = pWB[j] - pLB[j];
204 }
205
206 p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
207 lepton->init( getDaug(1), p4);
208
209 p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
210 neutrino->init( getDaug(2), p4);
211
212 return ;
213
214}
215
216double EvtVubAC::rate(double u, double w, double xb) {
217std::vector<double> vars(11);
218vars[0] = u;
219vars[1] = w;
220vars[2] = xb;
221double dGam = Coeff(u,w,xb)*Sigma(wreg(w/(1+u)),ularge(u)) + d(u,w,xb);
222
223return dGam;
224}
225
226double EvtVubAC::PolyLog(double v, double z) {
227
228if (z >= 1) cout << "Error in EvtVubAC: 2nd argument to PolyLog is >= 1." << endl;
229
230double sum = 0.0;
231for (int k=1; k<101; k++) {
232sum = sum + pow(z,k)/pow(k,v);
233}
234return sum;
235}
236
237double EvtVubAC::max(double ub, double lb) {
238if (ub > lb)
239return ub;
240else
241return lb;
242}
243
244double EvtVubAC::wreg(double w) {
245std::vector<double> vars(11);
246vars[1] = w;
247for (int j=3;j<11;j++) {vars[j] = gvars[j];}
248double K=(1+c)/(1+c+pow(c,2));
249return K*(c+pow(w,2)/(w+c));
250}
251
252double EvtVubAC::ureg(double u) {
253std::vector<double> vars(11);
254vars[0] = u;
255for (int j=3;j<11;j++) {vars[j] = gvars[j];}
256return q + u*u/(u+q);
257}
258
259double EvtVubAC::ularge(double u) {
260std::vector<double> vars(11);
261vars[0] = u;
262for (int j=3;j<11;j++) {vars[j] = gvars[j];}
263return u - k*u*u;
264}
265
266double EvtVubAC::alphaS(double Q) {
267std::vector<double> vars(11);
268for (int j=3;j<11;j++) {vars[j] = gvars[j];}
269
270double a =1.0/(log(Q*Q/FindRoot(alphaSmZ)));
271double b= FindRoot(alphaSmZ)/(FindRoot(alphaSmZ) - Q*Q);
272double ans = 1.0/beta0*( a + b );
273
274return ans;
275}
276
277double EvtVubAC::Coeff(double u, double w, double xb) {
278std::vector<double> vars(11);
279vars[0] = u;
280vars[1] = w;
281vars[2] = xb;
282
283for (int j=3;j<11;j++) {vars[j] = gvars[j];}
284
285double coeff = Coeff0(w,xb) + alphaS(mB*wreg(w/(1+u)))*Coeff1(w,xb);
286return coeff;
287}
288
289double EvtVubAC::Coeff0(double w, double xb) {
290std::vector<double> vars(11);
291vars[1] = w;
292vars[2] = xb;
293for (int j=3;j<11;j++) {vars[j] = gvars[j];}
294return 12.0*(1+xb-w)*(w-xb);
295}
296
297double EvtVubAC::Coeff1(double w, double xb) {
298std::vector<double> vars(11);
299vars[1] = w;
300vars[2] = xb;
301for (int j=3;j<11;j++) {vars[j] = gvars[j];}
302double a = 1+xb-w;
303double b = -PolyLog(2,1-w)-3.0/2.0*log(wreg(w)) - 1.0/2.0*w*f(w) - 35.0/8.0 + (M_PI*M_PI)/6.0;
304double c = 1.0/2.0*xb*f(wreg(w));
305
306double ans = 12.0*CF/M_PI*(w-xb)*((a*b)+c);
307
308return ans;
309}
310
311double EvtVubAC::d(double u, double w, double xb) {
312std::vector<double> vars(11);
313vars[0] = u;
314vars[1] = w;
315vars[2] = xb;
316for (int j=3;j<11;j++) {vars[j] = gvars[j];}
317
318return alphaS(mB*wreg(w/(1.0+u)))*CF/M_PI*d1(u,w,xb);
319
320}
321
322double EvtVubAC::d1(double u, double w, double xb) {
323std::vector<double> vars(11);
324vars[0] = u;
325vars[1] = w;
326vars[2] = xb;
327for (int j=3;j<11;j++) {vars[j] = gvars[j];}
328
329double a = 3*pow(w,4)*(24+3*w-8*xb)/(4*pow(1+u,5));
330double b = 9*pow(w,4)*(24+3*w-8*xb)/(8*pow(1+u,4));
331double c = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)/(16*pow(1-u,3));
332double cc = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)/(32*pow(1-u,2));
333double d = 3*pow(w,2)*(32-47*w-8*w*w+16*xb+20*w*xb+w*w*xb+8*xb*xb-3*w*xb*xb)/(8*pow(1+u,2));
334double e = 1/(8*pow(1+u,3))*(3*w*w*(-64+94*w+40*w*w+3*pow(w,3)-32*xb-40*xb*w-10*w*w*xb-16*xb*xb+6*w*xb*xb));
335double f = 1/(64*(1+u))*(3*(640*w-368*w*w-200*w*w*w-16*pow(w,4)+3*pow(w,5)-384*xb+320*w*xb+528*w*w*xb+112*pow(w,3)*xb-16*pow(w,4)*xb-256*xb*xb-48*w*xb*xb-224*pow(w,2)*pow(xb,2)+24*pow(w,3)*pow(xb,2)));
336double g = 1/(64*(1-u))*(3*(-256*w+528*w*w-200*pow(w,3)-16*pow(w,4)+3*pow(w,5)+512*xb-1472*w*xb+528*pow(w,2)*xb+112*pow(w,3)*xb-16*pow(w,4)*xb+640*xb*xb-48*w*xb*xb-224*pow(w,2)*pow(xb,2)+24*pow(w,3)*pow(xb,2)));
337double h = 9*pow(w,5)*log(ureg(u))/(4*pow(1+u,6));
338double i = 9*pow(w,5)*log(ureg(u))/(2*pow(1+u,5));
339double ii = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)*log(ureg(u))/(16*pow(1-u,4));
340double j = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)*log(ureg(u))/(16*pow(1-u,3));
341double k = (3*pow(w,3)*(-10+16*w+pow(w,2)+8*xb-2*w*xb-2*pow(xb,2))*log(ureg(u)))/(8*pow(1+u,3));
342double l = (3*pow(w,3)*(-10+16*w+7*pow(w,2)+8*xb-2*w*xb-2*pow(xb,2))*log(ureg(u)))/(8*pow(1+u,4));
343double m = 1/(64*pow(1+u,2))*(3*w*(-144*w+208*pow(w,2)+16*pow(w,3)+pow(w,4)-64*xb-80*w*xb-16*pow(w,2)*xb-8*pow(w,3)*xb+48*xb*xb-96*w*xb*xb+16*pow(w,2)*pow(xb,2))*log(ureg(u)));
344double n = 1/(64*pow(1-u,2))*(3*(-256*w+624*pow(w,2)-304*pow(w,3)+16*pow(w,4)+pow(w,5)+512*xb-1856*w*xb+944*pow(w,2)*xb-16*pow(w,3)*xb-8*pow(w,4)*xb+1024*xb*xb-464*w*xb*xb-96*pow(w,2)*pow(xb,2)+16*pow(w,3)*pow(xb,2))*log(ureg(u)));
345
346double rem = -a + b - c +cc - d - e + f + g - h +i -ii +j +k -l -m +n;
347
348return rem;
349}
350
351double EvtVubAC::f(double w) {
352std::vector<double> vars(11);
353vars[1] = w;
354for (int j=3;j<11;j++) {vars[j] = gvars[j];}
355 if (w != 1)
356 return log(w)/(1-w);
357 else
358 return -1;
359}
360
361double EvtVubAC::Lambda2(double x, const double alphaSmZ) {
362std::vector<double> vars(11);
363for (int j=3;j<11;j++) {vars[j] = gvars[j];}
364double alphaSmB = 0.22*alphaSmZ/0.1189;
365double func = (1/beta0)*(1/log(mB*mB/x)+x/(x-mB*mB))-alphaSmB;
366return func;
367}
368
369double EvtVubAC::FindRoot(const double alphaSmZ){
370std::vector<double> vars(11);
371for (int j=3;j<11;j++) {vars[j] = gvars[j];}
372 double root;
373 const double precision=1e-8;
374 Bisect(0.0,1.0, precision, root, alphaSmZ);
375return root;
376}
377
378int EvtVubAC::Bisect(double x1,double x2, double precision,double& root, const double alphaSmZ){
379std::vector<double> vars(11);
380
381for (int j=3;j<11;j++) {vars[j] = gvars[j];}
382
383 if( Lambda2(x1,alphaSmZ)*Lambda2(x2,alphaSmZ) > 0 ){
384 root = 0;
385 return 0;
386
387 } else {
388
389 double x = 0.5*(x1+x2);
390
391 if( fabs(Lambda2(x,alphaSmZ)) < precision){
392 root = x;
393 return 1;
394 } else {
395
396 if( Lambda2(x1,alphaSmZ)*Lambda2(x,alphaSmZ) < 0 ){
397 return Bisect(x1,x,precision,root,alphaSmZ);
398
399 } else {
400 return Bisect(x,x2,precision,root, alphaSmZ);
401
402 }
403 }
404 }
405}
406
407//Bi-Linear interpolation function for sigma()
408
409double EvtVubAC::Sigma(double x1, double x2){
410double ans;
411int j = 0;
412int k = 0;
413int JMAX = 20;
414int KMAX = 6282;
415
0ca57c2f 416 if ((x1 < 0.04) | (x1 > 1.0) | (x2 > 0.9981306360766614)) {
da0e9ce3 417
418 cout<<"Input variables are not in range"<<endl;
419 return 0;
420 }
421
422 else{
423
424
425double sigma[6283][21] = {{1.4165575231667025e-6,2.367068423885654e-6,3.010516455581869e-6,3.5037825936986625e-6,3.929518324374288e-6,4.306057170491293e-6,4.670305737607004e-6,5.03601978363166e-6,5.38081382734055e-6,5.706111094422232e-6,6.01592741932564e-6,6.312683745642994e-6,6.599149887344445e-6,6.876589598409881e-6,7.146140172115845e-6,7.408228896739411e-6,7.66381903520912e-6,7.914216132923142e-6,8.158375083092094e-6,8.387923687779773e-6,8.609047991600152e-6},
426{1.4242950283096505e-6,2.3821813865451333e-6,3.0321094979724177e-6,3.531463105585163e-6,3.963281819193405e-6,4.345928764350666e-6,4.716578534159503e-6,5.0891092458471885e-6,5.440882358124266e-6,5.773300334146699e-6,6.090393611799158e-6,6.394582544259559e-6,6.6886559040585555e-6,6.973876196346317e-6,7.251379536127028e-6,7.521582534359883e-6,7.78545760383978e-6,8.044322886507219e-6,8.297093782815202e-6,8.535252273580483e-6,8.76506526572483e-6},
427{1.432085473265309e-6,2.397426211753438e-6,3.053927960769999e-6,3.559478172452427e-6,3.997507657500483e-6,4.386409405362107e-6,4.763630567689123e-6,5.143175144213434e-6,5.5021483329791995e-6,5.841932217571044e-6,6.166572855026258e-6,6.478490721190443e-6,6.780495077370961e-6,7.073848449513044e-6,7.359687275376904e-6,7.638419489154442e-6,7.911031108690893e-6,8.178859267303823e-6,8.440787940213002e-6,8.688163613340468e-6,8.92736042107122e-6},
428{1.439929354714352e-6,2.41280463514272e-6,3.0759756040991857e-6,3.5878345116181944e-6,4.0322066625519e-6,4.427515357355928e-6,4.811485212210924e-6,5.198250042510372e-6,5.564655974117598e-6,5.912066071547593e-6,6.244545266975116e-6,6.5645198876533405e-6,6.874832084123841e-6,7.176767831207023e-6,7.471508054632459e-6,7.759532156090581e-6,8.04198240629201e-6,8.32045326864888e-6,8.594180689511984e-6,8.854977185824032e-6,9.110250789357704e-6},
429{1.4478271762507601e-6,2.4283184286282795e-6,3.098256291022933e-6,3.6165390675423683e-6,4.067390102434151e-6,4.469263755477156e-6,4.860167832347213e-6,5.254372135627978e-6,5.6284672051347425e-6,5.9838160854326365e-6,6.3245497730126735e-6,6.653205576198729e-6,6.972878946209313e-6,7.285309002010701e-6,7.592510371689441e-6,7.896411617922357e-6,8.20063859130551e-6,8.510772078503667e-6,8.832168193219429e-6,9.165813151304237e-6,9.53285861473224e-6},
430{1.4557794485384492e-6,2.4439694016732532e-6,3.1207739929456703e-6,3.6455990425662466e-6,4.103069949395984e-6,4.511674486770287e-6,4.9097162595434805e-6,5.31163173249103e-6,5.693833505594434e-6,6.057899920792941e-6,6.40853743177932e-6,6.749486714584406e-6,7.086268724196642e-6,7.425114172566452e-6,7.775933736046638e-6,8.153858881648055e-6,8.583979262125893e-6,9.104919794810385e-6,9.771190049418475e-6,0.000010655316056335114,0.000011879449548606903},
431{1.4637866894434715e-6,2.4597594026488963e-6,3.1435328023270215e-6,3.675022094200968e-6,4.139261015606768e-6,4.554785482753721e-6,4.960261093796092e-6,5.370505023603311e-6,5.762353786846746e-6,6.139117526304596e-6,6.509469970691759e-6,6.885255799616473e-6,7.287458092501649e-6,7.749887299160317e-6,8.32885760857551e-6,9.113946680584014e-6,0.000010246567374771375,0.000011937444274020002,0.000014487810062278417,0.000018317257226721972,0.000024019460747614908},
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