Abstract

We present an estimate of the inclusive decay rate and photon energy- and hadron mass-spectrum for the CKM-suppressed radiative rare decays B → X d + γ, based on perturbative QCD and a phenomenological model for the B-meson wave function (here X d denotes nonstrange hadrons). Present constraints on | V td| are used to predict BR(B → X d + γ) = (0.8−4) × 10 −5 for the top quark mass in the range 100 ⩽ m t ⩽ 200 GeV. From the inclusive invariant hadron-mass spectrum and using vector meson dominance in the region m(X d) ⩽ 1 GeV, we estimate the branching ratio for the exclusive rare decay mode B → ϱ + γ and the ratio Γ( B → ϱ + γ)/Γ( B → K ∗ + γ) . The importance of measuring these decays in determining the CKM matrix element | V td| is emphasized.

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