Charmless $B\to PV,VV$ decays and new physics effects in the mSUGRA model

Abstract

By employing the QCD factorization approach, we calculate the new physics contributions to the branching radios of the two-body charmless $B\to PV$ and $B\to VV$ decays in the framework of the minimal supergravity (mSUGRA) model. we choose three typical sets of the mSUGRA input parameters in which the Wilson coefficient $C_{7\gamma }(m_b)$ can be either SM-like (the case A and C) or has a flipped-sign (the case B). We found numerically that (a) the SUSY contributions are always very small for both case A and C; (b) for those tree-dominated decays, the SUSY contributions in case B are also very small; (c) for those QCD penguin-dominated decay modes, the SUSY contributions in case B can be significant, and can provide an enhancement about $30$ to the branching ratios of $B\to K^{\ast }(\pi ,\varphi ,\rho )$ and $K\varphi$ decays, but a reduction about $30$ to $B\to K(\rho ,\omega )$ decays; and (d) the large SUSY contributions in the case B may be masked by the large theoretical errors dominated by the uncertainty from our ignorance of calculating the annihilation contributions in the QCD factorization approach.

Comments: 34 pages, 8 PS figures, this is the correct version 3