Abstract
We present an estimate of the inclusive photon energy- and hadron mass-spectrum in rare B decays B→X s+gg, based on perturbative QCD and a phenomenological model for the B-meson wave function (here X s denotes hadrons with total strangeness quantum number S=−1. The shapes of the spectra are sensitive to the details of the wave function and the top quark mass, m t, but the normalization is essentially determined by m t. We find BR(B→X s+γ)=(3−4)×10 −4 for 100⩽ m t⩽200 GeV. With the additional assumption that the K ∗ resonance saturates the recoil hadron mass spectrum in the interval ( M K+ M π )⩽ m X s ⩽1 GeV, we calculate the branching ratio BR(B→K ∗+γ and predict BR(B→K ∗+γ ) = (5 +3 −2) × 10 −5 , where the err reflect the uncertainties on the hadronic wave function and the top quark mass in the stated range.
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