The Rare Decay $B\to K^{\ast}γ$: A More Precise Calculation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, UTPT-93-02, in REVTEX with one figure in eps

Scientific paper

10.1103/PhysRevD.48.2145

Efforts to predict the rare exclusive decay $B\to K^{\ast}\gamma$ from the well known inclusive decay $b\to s\gamma$ are frustrated by the effect of the large recoil momentum. We show how to reduce the large uncertainty in calculating this decay by relating $B\to K^{\ast}\gamma$ to the semileptonic process $B\to\rho e\bar{\nu}$ using the heavy-quark symmetry in B decays and SU(3) flavor symmetry. A direct measurement of the $q^{2}$-spectrum for the semileptonic decay can provide accurate information for the exclusive rare decay.

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