Radiative $B\to K^{\ast }{\hat{I}}^3$ transition in QCD

Abstract

We evaluate the branching ratios of the radiative decays $B\to K^{\ast }{\hat{I}}^3$, and $B\to K_1{\hat{I}}^3$ in the framework of three-point function QCD sum rules. We find: $\hat{I}“(B\to K^{\ast }{\hat{I}}^3)/\hat{I}“(b\to s{\hat{I}}^3)=0.17\pm 0.05$ and $\hat{I}“(B\to K_1{\hat{I}}^3)/\hat{I}“(b\to s{\hat{I}}^3)=0.30\pm 0.15$. We also study, in the infinite quark mass limit, the connection between the form factor of the radiative $B\to K^{\ast }{\hat{I}}^3$ transition and the weak hadronic form factors entering the semileptonic B-meson decays.

11 pages, plus cover page, 1 figure (not included),Latex, BARI-TH/93-150, July 1993