Double Penguins and the Contribution of Vector Meson--like States to the Decays $B\to K^{\ast }\gamma ,B\to \rho \gamma$

Abstract

Using perturbative QCD, the contribution at the leading twist, leading ${\alpha }_s$ level, of charm and up quark loops to the decays $B\to K^{\ast }\gamma$ and $B\to \rho \gamma$ is presented. In the case of $B\to \rho \gamma$, the relative importance of these contributions depend upon the unknown CKM matrix elements $V_{bu}$ and $V_{td}$. Assuming that the ratio $r=V_{bc}{V}_{cd}^{\ast }/V_{bt}{V}_{td}^{\ast }$ 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.

4 double column pages, revtex, 3 figures attached, 2 figures added indicating less optimism concerning the accuracy at which $|V_{td}/V_{ts}|$ can be extracted: to appear in PRD

References in corpus (10)

• Scheme Independence of the Effective Hamiltonian for $b\to s\gamma$ and $b\to sg$ Decays
• Exclusive Radiative B-Decays in the Light-Cone QCD Sum Rule Approach
• Leading Order QCD Corrections to $b\to s\gamma$ and $b\to sg$ Decays in Three Regularization Schemes
• Exclusive Hadronic B Decays to Charm and Charmonium Final States
• The b -> s gamma decay revisited
• Uncertainties from Long Range Effects in $B \to K^* γ
• Branching ratio and direct CP-violating rate asymmetry of the rare decays $B\to K^{\ast }\gamma$ and $B\to \rho \gamma$
• Systematics of Exclusive B-decays
• Vector Dominance Effects in Weak Radiative Decays of the B Mesons
• Penguins leaving the pole: bound-state effects in B decaying to K* + photon

Cited by in corpus (5)

• CP Asymmetry, Branching ratios and Isospin breaking effects in B-> rho gamma and B-> omega gamma decays with the pQCD approach
• Final state rescattering as a contribution to $B\to \rho \gamma$
• Perturbative QCD study of the B-> K^* gamma decay
• Is $B\to X_s\gamma$ equal to $b\to s\gamma$ ? Spectator contributions to rare inclusive B decays
• Branching Ratio and CP-asymmetry for B-> 1^{1}P_{1}gamma decays