Charmless B → PV, VV decays and new physics effects in the mSUGRA model

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By employing the QCD factorization approach, we calculate the new physics contributions to the branching radios of the two-body charmless B → PV and B → 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 C₇ᵧ(mb) 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% 260% to the branching ratios of B → K*(π,ϕ,ρ) and K ϕ decays, but a reduction about 30% 80% to B→ K(ρ, ω) 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.