paper

A new model-independent way of extracting |V_ub/V_cb|

arXiv:hep-ph/0204140 · doi:10.1016/S0550-3213(02)00464-9

Abstract

The ratio between the photon spectrum in B -> X_s gamma and the differential semileptonic rate wrt the hadronic variable M_X/E_X is a short-distance quantity calculable in perturbation theory and independent of the Fermi motion of the b quark in the B meson. We present a NLO analysis of this ratio and show how it can be used to determine |V_ub/V_cb| independently of any model for the shape function. We also discuss how this relation can be used to test the validity of the shape-function theory on the data.

20 pages, 3 figs

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