--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module:
+// Description: Form factors for b->sll according to Ali, Ball et al.
+// hep-ph/9910221v2
+//
+// Modification history:
+//
+// Ryd January 5, 2000 Module created
+//
+// jjhollar October 7 2005 Add Ball & Zwicky '05 LCSR
+// ofte August 2006 Add some more pi l l FF models
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtbTosllBallFF.hh"
+#include <cmath>
+
+EvtbTosllBallFF::EvtbTosllBallFF(int ffmodel)
+{
+ _theFFModel = ffmodel;
+}
+
+
+void EvtbTosllBallFF::getScalarFF(EvtId parent, EvtId daught,
+ double t, double /*mass*/,
+ double& fp,double& f0,double& ft){
+
+ int model = _theFFModel;
+
+ double m=EvtPDL::getMeanMass(parent);
+ double md=EvtPDL::getMeanMass(daught);
+
+ double shat=t/(m*m);
+ double shat2=shat*shat;
+ double shat3=shat2*shat;
+
+ if (daught == EvtPDL::getId(std::string("K+")) ||
+ daught == EvtPDL::getId(std::string("K-")) ||
+ daught == EvtPDL::getId(std::string("K_S0")) ||
+ daught == EvtPDL::getId(std::string("K0")) ||
+ daught == EvtPDL::getId(std::string("anti-K0")) ||
+ daught == EvtPDL::getId(std::string("K_L0"))
+ )
+ {
+ // B --> K form factors
+ if (model == 1) {
+ //this is Ali-Ball '01 (or really Ali-Ball'99 minimum allowed)
+ fp = 0.278*exp(1.568*shat+0.470*shat2+0.885*shat3);
+ f0 = 0.278*exp(0.740*shat+0.080*shat2+0.425*shat3);
+ ft = 0.300*exp(1.600*shat+0.501*shat2+0.796*shat3);
+ }
+ if (model == 2) {
+ //this is Ali-Ball '99 (central values)
+ fp = 0.319*exp(1.465*shat+0.372*shat2+0.782*shat3);
+ f0 = 0.319*exp(0.633*shat-0.095*shat2+0.591*shat3);
+ ft = 0.355*exp(1.478*shat+0.373*shat2+0.700*shat3);
+ }
+ if (model == 3) {
+ //QCD sum rules (Colangelo et al)
+ fp = 0.25/(1.-t/(5.0*5.0));
+ f0 = 0.25/(1.-t/(7.0*7.0));
+ ft = - 0.14/((1.0 - t/(5.0*5.0))*(1.0 - t/(7.0*7.0)));
+ }
+ if (model == 4) {
+ // Quark model (Melikhov et al - hep-ph/9711362)
+ fp = 0.36/(1. - 0.048*t + 0.00063*t*t);
+ double fm = -0.30/(1. - 0.050*t + 0.00061*t*t);
+ f0 = fp + fm*(t/(m*m - md*md));
+ ft = -(m+md)*0.06/(1 -0.049*t + 0.00064*t*t);
+ }
+ if (model == 5) {
+ fp = 0.341/(1. - 1.41*shat + 0.406*shat*shat);
+ f0 = 0.341/(1. - 0.41*shat -0.361*shat*shat);
+ ft = 0.374/(1. - 1.42*shat + 0.434*shat*shat);
+ }
+ if (model == 6) {
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.1616 / (1. - (t/29.30))) +
+ (0.1730 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ f0 = (0.3302 / (1. - (t/37.46/37.46)));
+ ft = (0.1614 / (1. - (t/29.30))) +
+ (0.1981 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ }
+ if (model == 7){
+ // Ball-Zwicky LCSR '05 "set 4" (mb = 4.6)
+ fp = (0.1903 / (1. - (t/29.30))) +
+ (0.1478 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ f0 = (0.3338 / (1. - (t/38.98/38.98)));
+ ft = (0.1851 / (1. - (t/29.30))) +
+ (0.1905 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("pi+")) ||
+ daught == EvtPDL::getId(std::string("pi-")) ||
+ daught == EvtPDL::getId(std::string("pi0"))
+ )
+ {
+ if(model == 1){
+ // B --> pi form factors from Ball-Zwicky'01 (tabulated in hep-ph/0306251)
+ fp = 0.261/(1. - 2.03*shat + 1.293*shat*shat);
+ f0 = 0.261/(1. - 0.27*shat -0.752*shat*shat);
+ ft = 0.296/(1. - 1.28*shat + 0.193*shat*shat);
+ }
+
+ // The following two (2) and (3) should preferably be replaced with
+ // something better. ft not provided by the papers, and the ft formula
+ // (from Colangelo'96 (hep-ph/9510403v2) equation (5.1)) seem to be no good.
+ // if (model == 2) {
+ // // LatticeQCD: Okamoto'04
+ // // ... with f_T from eq. (5.1) of Colangelo'95
+ // fp = 0.23/((1.-shat)*(1.-0.63*shat));
+ // f0 = 0.23/((1.-shat)/1.18);
+ // ft = ( -(m+md)/(2*m) )/ (fp - (m*m-md*md) * ((f0-fp)/t) );
+ // }
+ // if (model == 3) {
+ // // LatticeQCD: Shigemitsu'04
+ // // ... with f_T from eq. (5.1) of Colangelo'95
+ // fp = 0.42*(1.0-0.41)/((1.-shat)*(1.-0.63*shat));
+ // f0 = 0.42*(1.0-0.41)/((1.-shat)/1.18);
+ // ft = ( -(m+md)/(2*m) )/ (fp - (m*m-md*md) * ((f0-fp)/t) );
+ // }
+
+ if (model == 4) {
+ // Quark model - B -> pi set 1 (Melikhov-Nikitin'96)
+ fp = 0.29/pow((1.-t/(6.48*6.48)),2.54);
+ double fm = -0.26/pow((1.-t/(6.34*6.34)),2.49);
+ f0 = fp + fm*(t/(m*m - md*md));
+ ft = -(m+md)*0.05/pow((1.-t/(6.47*6.47)),2.50);
+ }
+ if (model == 5) {
+ // Melikhov-Stech '00. (hep-ph/0001113)
+ // relativistic dispersion approach based on constituent quark picture
+ fp = 0.29/((1.-shat)*(1.-0.48*shat));
+ f0 = 0.29/(1.-0.76*shat +0.28*shat*shat);
+ ft = 0.28/((1.-shat)*(1.-0.48*shat));
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.744 / (1. - (t/(5.32*5.32)))) + (-0.486 / (1. - (t/40.73)));
+ f0 = (0.258 / (1. - (t/33.81)));
+ ft = (1.387 / (1. - (t/(5.32*5.32)))) + (-1.134 / (1. - (t/32.22)));
+ }
+ if(model == 7){
+ // Ball-Zwicky LCSR '05 "set 4" (mb = 4.6)
+ fp = (0.944 / (1. - (t/(5.32*5.32)))) + (-0.669 / (1. - (t/34.27)));
+ f0 = (0.270 / (1. - (t/33.63)));
+ ft = (0.152 / (1. - (t/(5.32*5.32)))) +
+ (0.122 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("eta")) ||
+ daught == EvtPDL::getId(std::string("eta'"))
+ )
+ {
+ if(model == 1){
+ // B --> eta form factors
+ fp = 0.261/(1. - 2.03*shat + 1.293*shat*shat);
+ f0 = 0.261/(1. - 0.27*shat -0.752*shat*shat);
+ ft = 0.296/(1. - 1.28*shat + 0.193*shat*shat);
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.1220 / (1. - (t/28.40))) +
+ (0.1553 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ f0 = (0.2734 / (1. - (t/31.03/31.03)));
+ ft = (0.1108 / (1. - (t/28.40))) +
+ (0.1752 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ }
+ if(model == 7){
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.1380 / (1. - (t/28.40))) +
+ (0.1462 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ f0 = (0.2799 / (1. - (t/30.46/30.46)));
+ ft = (0.1160 / (1. - (t/28.40))) +
+ (0.1841 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ }
+ }
+
+ // cout << "shat "<<shat<<"\t"<<"fp "<<fp<<"\t"<<"f0 "<<f0<<"\t"
+ // <<"ft "<<ft<<endl;
+
+}
+
+
+void EvtbTosllBallFF::getVectorFF(EvtId parent, EvtId daught,
+ double t, double /*mass*/,
+ double& a1,double& a2,double& a0, double& v,
+ double& t1, double& t2, double& t3 ){
+
+ int model = _theFFModel;
+
+ double m=EvtPDL::getMeanMass(parent);
+ double md=EvtPDL::getMeanMass(daught);
+
+ double shat=t/(m*m);
+ double shat2=shat*shat;
+
+ if (
+ daught == EvtPDL::getId(std::string("K*+")) ||
+ daught == EvtPDL::getId(std::string("K*-")) ||
+ daught == EvtPDL::getId(std::string("K*0")) ||
+ daught == EvtPDL::getId(std::string("anti-K*0")) ||
+ daught == EvtPDL::getId(std::string("K_1+")) ||
+ daught == EvtPDL::getId(std::string("K_1-"))
+
+ )
+ {
+ if (model == 1) {
+ //this is Ali-Ball '01
+ a1 = 0.294*exp(0.656*shat+0.456*shat2);
+ a2 = 0.246*exp(1.237*shat+0.822*shat2);
+ a0 = 0.412*exp(1.543*shat+0.954*shat2);
+ v = 0.399*exp(1.537*shat+1.123*shat2);
+
+ t1 = 0.334*exp(1.575*shat+1.140*shat2);
+ t2 = 0.334*exp(0.562*shat+0.481*shat2);
+ t3 = 0.234*exp(1.230*shat+1.089*shat2);
+ }
+ if (model == 2) {
+ //this is Ali-Ball '99
+ a1=0.337*exp(0.602*shat+0.258*shat2);
+ a2=0.282*exp(1.172*shat+0.567*shat2);
+ a0=0.471*exp(1.505*shat+0.710*shat2);
+ v=0.457*exp(1.482*shat+1.015*shat2);
+
+ t1=0.379*exp(1.519*shat+1.030*shat2);
+ t2=0.379*exp(0.517*shat+0.426*shat2);
+ t3=0.260*exp(1.129*shat+1.128*shat2);
+ }
+ if (model == 3) {
+ //QCD sum rules (Colangelo et al)
+ // JJH - Changed in accordance with erratum (Phys. Rev. D 57, 3186 (1998))
+ a1 = 0.37*(1 - 0.023*t);
+ a2 = 0.40*(1 + 0.034*t);
+ a0 = 0.3/(1.- t/(4.8*4.8));
+ v = 0.47/(1.- t/(5.0*5.0));
+
+ t1 = 0.19/(1.-t/(5.3*5.3));
+ t2 = 0.19*(1. - 0.02*t);
+ t3 = 0.3*(1. + 0.01*t);
+ }
+
+ if (model == 4) {
+ // Quark model (Melikhov et al)
+ a1 = 1.6/(1 - 0.0288*t + 0.00028*t*t); a1 = a1/(m+md);
+ a2 = (m+md)*0.036/(1. - 0.053*t + 0.00082*t*t);
+ double aminus = 0.041/(1. - 0.055*t + 0.00088*t*t);
+ double f = 1.60/(1. - 0.0288*t + 0.00028*t*t);
+ double aplus = -0.036/(1. - 0.053*t + 0.00082*t*t);
+ a0 = (t*aminus + f + (m*m-md*md)*aplus)/(2.0*md);
+ v = (m+md)*0.048/(1. - 0.057*t + 0.00085*t*t);
+
+ t1 = 0.28/(1. - 0.058*t + 0.0009*t*t);
+ double gplus = -0.28/(1. - 0.058*t + 0.0009*t*t);
+ double gminus = 0.24/(1. - 0.059*t + 0.00096*t*t);
+ t2 = -gplus - (t*gminus)/(m*m-md*md);
+ double h = 0.0037/(1. - 0.075*t + 0.0016*t*t);
+ t3 = (m+md)*(m+md)*((gminus/(m*m-md*md) - h/2.));
+
+ }
+ if (model == 5) {
+ a1 = 0.337/(1. - 0.60*shat - 0.023*shat*shat);
+ a2 = 0.283/(1. - 1.18*shat + 0.281*shat*shat);
+ a0 = 0.470/(1. - 1.55*shat + 0.680*shat*shat);
+ v = 0.458/(1. - 1.55*shat + 0.575*shat*shat);
+ t1 = 0.379/(1. - 1.59*shat + 0.615*shat*shat);
+ t2 = 0.379/(1. - 0.49*shat - 0.241*shat*shat);
+ t3 = 0.261/(1. - 1.20*shat + 0.098*shat*shat);
+ }
+ if (model == 6) {
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = 0.290 / (1. - (t/40.38));
+ a2 = (-0.084 / (1. - (t/52.00))) +
+ (0.342 / (1. - (t/52.00))/(1. - (t/52.00)));
+ a0 = (1.364 / (1. - (t/(5.28*5.28)))) +
+ (-0.990 / (1. - (t/36.78)));
+ v = (0.923 / (1. - (t/(5.32*5.32)))) +
+ (-0.511 / (1. - (t/49.40)));
+ t1 = (0.823 / (1. - (t/(5.32*5.32)))) +
+ (-0.491 / (1 - (t/46.31)));
+ t2 = 0.333 / (1. - (t/41.41));
+ double t3tilde = (-0.036 / (1. - (t/48.10))) +
+ (0.368 / (1. - (t/48.10)) / (1. - (t/48.10)));
+ t3 = 0.0;
+ if (fabs(t) > 1e-10) {
+ t3 = (m*m - md*md)*(t3tilde - t2)/t;
+ }
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("rho+")) ||
+ daught == EvtPDL::getId(std::string("rho-")) ||
+ daught == EvtPDL::getId(std::string("rho0"))
+ )
+ {
+ if(model == 1){
+ // B --> rho form factors
+ a1 = 0.261/(1. - 0.29*shat - 0.415*shat*shat);
+ a2 = 0.223/(1. - 0.93*shat - 0.092*shat*shat);
+ a0 = 0.372/(1. - 1.40*shat + 0.437*shat*shat);
+ v = 0.338/(1. - 1.37*shat + 0.315*shat*shat);
+ t1 = 0.285/(1. - 1.41*shat + 0.361*shat*shat);
+ t2 = 0.285/(1. - 0.28*shat - 0.500*shat*shat);
+ t3 = 0.202/(1. - 1.06*shat - 0.076*shat*shat);
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = 0.240 / (1. - (t/37.51));
+ a2 = (0.009 / (1. - (t/40.82))) +
+ (0.212 / (1. - (t/40.82)) / (1. - (t/40.82)));
+ a0 = (1.527 / (1. - (t/(5.28*5.28)))) +
+ (-1.220 / (1. - (t/33.36)));
+ v = (1.045 / (1. - (t/(5.32*5.32)))) +
+ (-0.721 / (1. - (t/38.34)));
+ t1 = (0.897 / (1. - (t/(5.32*5.32)))) +
+ (-0.629 / (1 - (t/38.04)));
+ t2 = 0.267 / (1. - (t/38.59));
+ double t3tilde = (0.022 / (1. - (t/40.88))) +
+ (0.246 / (1. - (t/40.88)) / (1. - (t/40.88)));
+ t3 = 0.0;
+ if (fabs(t) > 1e-10) {
+ t3 = (m*m - md*md)*(t3tilde - t2)/t;
+ }
+
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("omega"))
+ )
+ {
+ if(model == 1){
+ // B --> rho form factors
+ a1 = 0.261/(1. - 0.29*shat - 0.415*shat*shat);
+ a2 = 0.223/(1. - 0.93*shat - 0.092*shat*shat);
+ a0 = 0.372/(1. - 1.40*shat + 0.437*shat*shat);
+ v = 0.338/(1. - 1.37*shat + 0.315*shat*shat);
+ t1 = 0.285/(1. - 1.41*shat + 0.361*shat*shat);
+ t2 = 0.285/(1. - 0.28*shat - 0.500*shat*shat);
+ t3 = 0.202/(1. - 1.06*shat - 0.076*shat*shat);
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = -0.217 / (1. - (t/37.01));
+ a2 = (0.006 / (1. - (t/41.24))) +
+ (0.192 / (1. - (t/41.24)) / (1. - (t/41.24)));
+ a0 = (1.321 / (1. - (t/(5.28*5.28)))) +
+ (-1.040 / (1. - (t/34.47)));
+ v = (1.006 / (1. - (t/(5.32*5.32)))) +
+ (-0.713 / (1. - (t/37.45)));
+ t1 = (0.865 / (1. - (t/(5.32*5.32)))) +
+ (-0.622 / (1 - (t/37.19)));
+ t2 = 0.242 / (1. - (t/37.95));
+ double t3tilde = (0.023 / (1. - (t/40.87))) +
+ (0.220 / (1. - (t/40.87)) / (1. - (t/40.87)));
+ t3 = 0.0;
+ if (fabs(t) > 1e-10) {
+ t3 = (m*m - md*md)*(t3tilde - t2)/t;
+ }
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("phi"))
+ )
+ {
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = 0.308 / (1. - (t/36.54));
+ a2 = (-0.054 / (1. - (t/48.94))) +
+ (0.288 / (1. - (t/48.94)) / (1. - (t/48.94)));
+ a0 = (3.310 / (1. - (t/(5.28*5.28)))) +
+ (-2.835 / (1. - (t/31.57)));
+ v = (1.484 / (1. - (t/(5.32*5.32)))) +
+ (-1.049 / (1. - (t/39.52)));
+ t1 = (1.303 / (1. - (t/(5.32*5.32)))) +
+ (-0.954 / (1 - (t/38.28)));
+ t2 = 0.349 / (1. - (t/37.21));
+ double t3tilde = (0.027 / (1. - (t/45.56))) +
+ (0.321 / (1. - (t/45.56)) / (1. - (t/45.56)));
+ t3 = 0.0;
+ if (fabs(t) > 1e-10) {
+ t3 = (m*m - md*md)*(t3tilde - t2)/t;
+ }
+ }
+ }
+
+}
+
+
+
+
+
+
+
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff