Potential models for radiative rare B decays
Abstract
We compute the branching ratios for the radiative rare decays of B into Kmeson states and compare them to the experimentally determined branching ratios for inclusive decay b>sγ using the nonrelativistic quark model, and form factor definitions consistent with the HQET covariant trace formalism. Such calculations necessarily involve a potential model. In order to test the sensitivity of the calculations to potential models we use three different potentials: namely, the linear potential, screening confining potential, and heavy quark potential as it stands in QCD. We find the branching ratios relative to the inclusive b>sγ decay to be (16.07+/5.2)%, (19.75+/5.3)%, and (11.18+/4.6)% for B>K^{*}(892)γ for the linear, screening confining, and heavy quark potential, respectively, while the corresponding values of branching ratios for B>K^{*}_{2}(1430)γ relative to B>K^{*}(892)γ are 0.45+/0.13, 0.24+/0.06, and 0.46+/0.14, respectively. All these values are consistent with the corresponding present CLEO experimental values: (16.25+/1.21)% [for B>K^{*}(892)γ] and 0.39^{+0.15}_{0.13} [for B>K^{*}_{2}(1430)γ].
 Publication:

Physical Review D
 Pub Date:
 April 2002
 DOI:
 10.1103/PhysRevD.65.074018
 arXiv:
 arXiv:hepph/0101256
 Bibcode:
 2002PhRvD..65g4018A
 Keywords:

 13.25.Hw;
 12.39.Hg;
 12.39.Pn;
 13.40.Hq;
 Decays of bottom mesons;
 Heavy quark effective theory;
 Potential models;
 Electromagnetic decays;
 High Energy Physics  Phenomenology
 EPrint:
 RevTeX, 6 pages, 1 eps figure