36 model_name=
"D0ToKpipi0";
48 mrho_770 = 0.76519, mrho_1450 = 1.465, mKn892 = 0.89555, mKp892 = 0.89167, mK0_1430 = 1.466, mK2_1430 = 1.432, mKn_1680 = 1.717;
49 Grho_770 = 0.150, Grho_1450 = 0.310, GKn892 = 0.0473, GKp892 = 0.0514, GK0_1430 = 0.174, GK2_1430 = 0.109, GKn_1680 = 0.322;
120 mass_Kaon = 0.493677;
122 mass_Pi0 = 0.1349768;
127 int GG[4][4] = { {1,0,0,0}, {0,-1,0,0}, {0,0,-1,0}, {0,0,0,-1} };
128 for (
int i=0; i<4; i++) {
129 for (
int j=0; j<4; j++) {
168 double Ks0[4],Pic[4],
Pi0[4];
169 Ks0[0] = ks0.
get(0); Pic[0] = pic.
get(0);
Pi0[0] = pi0.
get(0);
170 Ks0[1] = ks0.
get(1); Pic[1] = pic.
get(1);
Pi0[1] = pi0.
get(1);
171 Ks0[2] = ks0.
get(2); Pic[2] = pic.
get(2);
Pi0[2] = pi0.
get(2);
172 Ks0[3] = ks0.
get(3); Pic[3] = pic.
get(3);
Pi0[3] = pi0.
get(3);
180 calPDF(Ks0, Pic,
Pi0, value);
186double EvtD0ToKpipi0::calPDF(
double Ks0[],
double Pic[],
double Pi0[],
double & Result) {
187 double cof[2], amp_tmp1[2], amp_tmp2[2], amp_tmp[2], amp_PDF[2], PDF[2];
188 double flag[3], mass_R[2], width_R[2];
190 double sa[3], sb[3], sc[3], B[3];
191 double t1D[4], t1V[4], t1A[4];
192 double pS[4], pV[4], pD[4], pA[4];
193 double pro1[2], pro2[2],proKPi_S[2];
198 double mass1[13] ={ mrho_770, mrho_1450, mKp892, mKn892, mK0_1430, mK0_1430, mK2_1430, mK2_1430, mKn_1680, mKn_1680, 1.414, 1.414, 1.414};
199 double width1[13]={ Grho_770, Grho_1450, GKp892, GKn892, GK0_1430, GK0_1430, GK2_1430, GK2_1430, GKn_1680, GKn_1680, 0.232, 0.232, 0.232};
200 double g0[13] ={ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0};
202 double P12[4], P23[4], P13[4];
203 double scpi, snpi, sks0;
205 for(
int i=0; i<4; i++){
206 P12[i] = Pic[i] + Ks0[i];
207 P13[i] =
Pi0[i] + Ks0[i];
208 P23[i] = Pic[i] +
Pi0[i];
210 scpi = SCADot(Pic,Pic);
212 sks0 = SCADot(Ks0,Ks0);
213 s12 = SCADot(P12,P12);
214 s13 = SCADot(P13,P13);
215 s23 = SCADot(P23,P23);
223 for(
int i=0; i<13; i++) {
226 mass1sq = mass1[i]*mass1[i];
227 cof[0] = rho[i]*
cos(phi[i]);
228 cof[1] = rho[i]*
sin(phi[i]);
230 if(modetype[i] == 23){
231 temp_PDF = DDalitz( Pic,
Pi0, Ks0, spin[i], mass1[i]);
232 if(g0[i]==1) propagatorRBW(mass1sq,mass1[i],width1[i],
s23,scpi,snpi,rRes,spin[i],pro);
233 if(g0[i]==2) KPiSLASS(
s23,scpi,snpi,pro);
234 if(g0[i]==3) propagatorFlatte(mass1[i],width1[i],
s23,scpi,snpi,0,pro);
239 amp_tmp[0] = temp_PDF*pro[0];
240 amp_tmp[1] = temp_PDF*pro[1];
242 if(modetype[i] == 12){
243 temp_PDF = DDalitz(Ks0, Pic,
Pi0, spin[i], mass1[i]);
244 if(g0[i]==1) propagatorRBW(mass1sq, mass1[i],width1[i],
s12,sks0,scpi,rRes,spin[i],pro);
245 if(g0[i]==2) {propagatorFlatte(mass1[i],width1[i],
s12,sks0,scpi,1,pro);
246 pro[0]=pro[0]*(0.01+0.990*0.990)/(0.01+
s12);
247 pro[1]=pro[1]*(0.01+0.990*0.990)/(0.01+
s12);
249 if(g0[i]==3) propagatorFlatte(mass1[i],width1[i],
s12,sks0,scpi,1,pro);
255 amp_tmp[0] = temp_PDF*pro[0];
256 amp_tmp[1] = temp_PDF*pro[1];
258 if(modetype[i] == 13){
259 temp_PDF = DDalitz(Ks0,
Pi0, Pic, spin[i], mass1[i]);
260 if(g0[i]==1) propagatorRBW(mass1sq, mass1[i],width1[i],s13,sks0,snpi,rRes,spin[i],pro);
262 double skm2[2]={sks0, mass_Ks *mass_Ks};
263 double spi2[2]={snpi, mass_Eta *mass_Eta};
264 propagatorKstr1430(mass1[i],s13,skm2,spi2,pro);
266 if(g0[i]==3) propagatorFlatte(mass1[i],width1[i],s13,sks0,snpi,1,pro);
271 amp_tmp[0] = temp_PDF*pro[0];
272 amp_tmp[1] = temp_PDF*pro[1];
274 if(modetype[i] == 132){
275 KPiSLASS(
s12,sks0,scpi,Amp_KPiS);
276 amp_tmp[0] = Amp_KPiS[0];
277 amp_tmp[1] = Amp_KPiS[1];
279 Com_Multi(amp_tmp,cof,amp_PDF);
280 PDF[0] += amp_PDF[0];
281 PDF[1] += amp_PDF[1];
285 double value = PDF[0]*PDF[0] + PDF[1]*PDF[1];
291void EvtD0ToKpipi0:: Com_Multi(
double a1[2],
double a2[2],
double res[2])
293 res[0] = a1[0]*a2[0]-a1[1]*a2[1];
294 res[1] = a1[1]*a2[0]+a1[0]*a2[1];
296void EvtD0ToKpipi0:: Com_Divide(
double a1[2],
double a2[2],
double res[2])
298 double tmp = a2[0]*a2[0]+a2[1]*a2[1];
299 res[0] = (a1[0]*a2[0]+a1[1]*a2[1])/tmp;
300 res[1] = (a1[1]*a2[0]-a1[0]*a2[1])/tmp;
303double EvtD0ToKpipi0:: SCADot(
double a1[4],
double a2[4])
305 double _cal = a1[0]*a2[0]-a1[1]*a2[1]-a1[2]*a2[2]-a1[3]*a2[3];
309double EvtD0ToKpipi0:: barrier(
int l,
double sa,
double sb,
double sc,
double r,
double mass)
311 double q = (sa+sb-sc)*(sa+sb-sc)/(4*sa)-sb;
317 double q0 = (sa0+sb-sc)*(sa0+sb-sc)/(4*sa0)-sb;
318 if(q0 < 0) q0 = 1e-16;
322 if(l == 1) F = sqrt((1+z0)/(1+z));
323 if(l == 2) F = sqrt((9+3*z0+z0*z0)/(9+3*z+z*z));
327double EvtD0ToKpipi0:: Barrier(
int l,
double sa,
double sb,
double sc,
double r2)
330 double tmp = sa+sb-sc;
331 double q = 0.25*tmp*tmp/sa-sb;
332 if (
q < 0)
q = 1e-16;
335 F = sqrt(2.0*z/(1.0+z));
339 F = sqrt(13.0*z2/(9.0+3.0*z+z2));
347void EvtD0ToKpipi0:: calt1(
double daug1[4],
double daug2[4],
double t1[4])
351 for(
int i=0; i<4; i++) {
352 pa[i] = daug1[i] + daug2[i];
353 qa[i] = daug1[i] - daug2[i];
358 for(
int i=0; i<4; i++) {
359 t1[i] = qa[i] - tmp*pa[i];
362void EvtD0ToKpipi0:: calt2(
double daug1[4],
double daug2[4],
double t2[4][4])
366 calt1(daug1,daug2,t1);
367 r = SCADot(t1,t1)/3.0;
368 for(
int i=0; i<4; i++) {
369 pa[i] = daug1[i] + daug2[i];
372 for(
int i=0; i<4; i++) {
373 for(
int j=0; j<4; j++) {
374 t2[i][j] = t1[i]*t1[j] - r*(G[i][j]-pa[i]*pa[j]/p);
379void EvtD0ToKpipi0:: propagator(
double mass2,
double mass,
double width,
double sx,
double prop[2])
386 Com_Divide(a,
b,prop);
388double EvtD0ToKpipi0:: wid(
double mass2,
double mass,
double sa,
double sb,
double sc,
double r2,
int l)
393 double tmp1 = sa+tmp;
394 double q = 0.25*tmp1*tmp1/sa-sb;
396 double tmp2 = mass2+tmp;
397 double q0 = 0.25*tmp2*tmp2/mass2-sb;
402 if(l == 0) {widm = sqrt(
t)*
mass/m;}
403 else if(l == 1) {widm =
t*sqrt(
t)*
mass/m*(1+z0)/(1+z);}
404 else if(l == 2) {widm =
t*
t*sqrt(
t)*
mass/m*(9+3*z0+z0*z0)/(9+3*z+z*z);}
407double EvtD0ToKpipi0:: widl1(
double mass2,
double mass,
double sa,
double sb,
double sc,
double r2)
412 double tmp1 = sa+tmp;
413 double q = 0.25*tmp1*tmp1/sa-sb;
415 double tmp2 = mass2+tmp;
416 double q0 = 0.25*tmp2*tmp2/mass2-sb;
420 double F = (1+z0)/(1+z);
422 widm =
t*sqrt(
t)*
mass/m*F;
425void EvtD0ToKpipi0:: propagatorRBW(
double mass2,
double mass,
double width,
double sa,
double sb,
double sc,
double r2,
int l,
double prop[2])
430 double q=0.25*(sa+sb-sc)*(sa+sb-sc)/sa-sb;
433 b[1] = -
mass*width*wid(mass2,
mass,sa,sb,sc,r2,l);
434 Com_Divide(a,
b,prop);
438void EvtD0ToKpipi0:: propagatorFlatte(
double mass,
double width,
double sa,
double sb,
double sc,
int r,
double prop[2]){
439 double q, qKsK,qetapi;
441 double rhoab[2], rhoKsK[2];
442 q = 0.25*(sa+sb-sc)*(sa+sb-sc)/sa-sb;
443 qetapi=0.25*(sa+0.547862*0.547862-0.13957039*0.13957039)*(sa+0.547862*0.547862-0.13957039*0.13957039)/sa-0.547862*0.547862;
444 if(r == 0) qKsK = 0.25*sa - 0.49368*0.49368;
445 if(r == 1) qKsK = 0.25*(sa+sb-sc)*(sa+sb-sc)/sa - sb;
447 rhoab[0] = 2*sqrt(qetapi/sa);
452 rhoab[1] = 2*sqrt(-qetapi/sa);
455 rhoKsK[0] = 2*sqrt(qKsK/sa);
460 rhoKsK[1] = 2*sqrt(-qKsK/sa);
465 b[0] =
mass*
mass - sa + 0.341*rhoab[1] + 0.892*0.341*rhoKsK[1];
466 b[1] = - (0.341*rhoab[0] + 0.892*0.341*rhoKsK[0]);
467 Com_Divide(a,
b,prop);
469void EvtD0ToKpipi0:: PiPiSWASS(
double sa,
double sb,
double sc,
double prop[2]) {
471 double tmp2 = sa+tmp;
472 double qs = 0.25*tmp2*tmp2/sa-sb;
474 double a0 = -0.11/mass_Pion;
475 prop[0] = 1/(1+a0*a0*
q*
q);
476 prop[1] = a0*
q/(1+a0*a0*
q*
q);
478void EvtD0ToKpipi0:: KPiSLASS(
double sa,
double sb,
double sc,
double prop[2]) {
479 const double m1430 = 1.441;
480 const double sa0 = 1.441*1.441;
481 const double w1430 = 0.193;
482 const double Lass1 = 0.25/sa0;
484 double tmp1 = sa0+tmp;
485 double q0 = Lass1*tmp1*tmp1-sb;
487 double tmp2 = sa+tmp;
488 double qs = 0.25*tmp2*tmp2/sa-sb;
490 double width = w1430*
q*m1430/sqrt(sa*q0);
491 double temp_R = atan(m1430*width/(sa0-sa));
492 if(temp_R<0) temp_R += math_pi;
493 double deltaR = -1.915 + temp_R;
494 double temp_F = atan(0.226*
q/(2.0-3.819*qs));
495 if(temp_F<0) temp_F += math_pi;
496 double deltaF = 0.002 + temp_F;
497 double deltaS = deltaR + 2.0*deltaF;
498 double t1 = 0.96*
sin(deltaF);
499 double t2 =
sin(deltaR);
505 prop[0] = t1*CF[0] + t2*
CS[0];
506 prop[1] = t1*CF[1] + t2*
CS[1];
509void EvtD0ToKpipi0:: Flatte_rhoab(
double sa,
double sb,
double sc,
double rho[2]){
510 double q = (sa+sb-sc)*(sa+sb-sc)/(4*sa)-sb;
512 rho[0]=2* sqrt(
q/sa);
517 rho[1]=2*sqrt(-
q/sa);
521void EvtD0ToKpipi0:: propagatorKstr1430(
double mass,
double sx,
double *sb,
double *sc,
double prop[2])
523 double unit[2]={1.0};
526 Flatte_rhoab(sx,sb[0],sc[0],rho1);
528 Flatte_rhoab(sx,sb[1],sc[1],rho2);
529 double gKPi_Kstr1430=0.2990, gEtaPK_Kstr1430=0.0529;
530 double tmp1[2]={gKPi_Kstr1430,0};
532 double tmp2[2]={gEtaPK_Kstr1430,0};
534 Com_Multi(tmp1,rho1,tmp11);
535 Com_Multi(tmp2,rho2,tmp22);
536 double tmp3[2]={tmp11[0]+tmp22[0],tmp11[1]+tmp22[1]};
538 Com_Multi(tmp3, ci,tmp31);
539 double tmp4[2]={
mass*
mass-sx-tmp31[0], -1.0*tmp31[1]};
540 Com_Divide(
unit,tmp4, prop);
542double EvtD0ToKpipi0:: DDalitz(
double P1[4],
double P2[4],
double P3[4],
int Ang,
double mass){
544 double temp_PDF, v_re;
547 double B[2], s1, s2, s3, sR, sD;
548 for(
int i=0; i<4; i++){
549 pR[i] = P1[i] + P2[i];
550 pD[i] = pR[i] + P3[i];
558 for(
int i=0; i!=4; i++){
559 for(
int j=0; j!=4; j++){
561 if(i==0) G[i][j] = 1;
573 B[0] = barrier(1,sR,s1,s2,3.0,
mass);
574 B[1] = barrier(1,sD,sR,s3,5.0,1.864);
579 for(
int i=0; i<4; i++){
580 temp_PDF += t1[i]*T1[i]*G[i][i];
584 B[0] = barrier(2,sR,s1,s2,3.0,
mass);
585 B[1] = barrier(2,sD,sR,s3,5.0,1.864);
586 double t2[4][4], T2[4][4];
590 for(
int i=0; i<4; i++){
591 for(
int j=0; j<4; j++){
592 temp_PDF += t2[i][j]*T2[j][i]*G[i][i]*G[j][j];
596 v_re = temp_PDF*
B[0]*
B[1];
double sin(const BesAngle a)
double cos(const BesAngle a)
*******INTEGER m_nBinMax INTEGER m_NdiMax !No of bins in histogram for cell exploration division $ !Last vertex $ !Last active cell $ !Last cell in buffer $ !No of sampling when dividing cell $ !No of function total $ !Flag for random ceel for $ !Flag for type of for WtMax $ !Flag which decides whether vertices are included in the sampling $ entire domain is hyp !Maximum effective eevents per saves r n generator level $ !Flag for chat level in !Latex Output unit
****INTEGER imax DOUBLE PRECISION m_pi *DOUBLE PRECISION m_amfin DOUBLE PRECISION m_Chfin DOUBLE PRECISION m_Xenph DOUBLE PRECISION m_sinw2 DOUBLE PRECISION m_GFermi DOUBLE PRECISION m_MfinMin DOUBLE PRECISION m_ta2 INTEGER m_out INTEGER m_KeyFSR INTEGER m_KeyQCD *COMMON c_Semalib $ !copy of input $ !CMS energy $ !beam mass $ !final mass $ !beam charge $ !final charge $ !smallest final mass $ !Z mass $ !Z width $ !EW mixing angle $ !Gmu Fermi $ alphaQED at q
void decay(EvtParticle *p)
void getName(std::string &name)
void checkSpinParent(EvtSpinType::spintype sp)
void setProbMax(double prbmx)
void checkNDaug(int d1, int d2=-1)
void checkNArg(int a1, int a2=-1, int a3=-1, int a4=-1)
void setProb(double prob)
const EvtVector4R & getP4() const
EvtParticle * getDaug(int i)
double initializePhaseSpace(int numdaughter, EvtId *daughters, double poleSize=-1., int whichTwo1=0, int whichTwo2=1)
double double double double * s12
double double double double double * s23