The ratio between the photon spectrum in B→Xsγ and the differential semileptonic rate with respect to 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.
A New model independent way of extracting |V(ub) / V(cb)|.
GAMBINO, Paolo
2002-01-01
Abstract
The ratio between the photon spectrum in B→Xsγ and the differential semileptonic rate with respect to 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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