Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-18
Phys.Rev.D53:1403-1408,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 double column pages, revtex, 3 figures attached, 2 figures added indicating less optimism concerning the accuracy at which $
Scientific paper
10.1103/PhysRevD.53.1403
Using perturbative QCD, the contribution at the leading twist, leading $\alpha_s$ level, of charm and up quark loops to the decays $B \rightarrow K^* \gamma$ and $B \rightarrow \rho \gamma$ is presented. In the case of $B \rightarrow \rho \gamma$, the relative importance of these contributions depend upon the unknown CKM matrix elements $V_{bu}$ and $V_{td}$. Assuming that the ratio $r = V_{bc}V^*_{cd}/V_{bt}V^*_{td}$ is bounded between $-2.25 \le r \le -.5$ as is suggested by the Particle Data Group, the error in extracting $ |V_{td}/V_{ts}| $ by these decays is estimated.
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