A new model-independent way of extracting |Vub/Vcb|

Abstract

The ratio between the photon spectrum in B -> Xs gamma and the differential semileptonic rate wrt the hadronic variable MX/EX 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 |Vub/Vcb| 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.

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