Can $B -> X_c \ell ν$ help us extract |V_{ub}| ?
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We study radiative corrections to $\bar{B} \to X_c \ell \barν_\ell$ decays assuming the power counting $m_c \sim \sqrt{Λ_QCD m_b}$ for the charm-quark mass. Concentrating on the shape-function region, we use effective field-theory methods to calculate the hadronic tensor at NLO accuracy. From this we deduce a shape-function independent relation between partially integrated $\bar{B} \to X_c\ell\barν_\ell$ and $\bar{B} \to X_u \ell \barν_\ell$ spectra to leading power in $1/m_b$, including first-order corrections in the strong coupling constant. This may provide an independent cross-check on the determination of the CKM element |V_{ub}|.
22 pages, 8 figures, comparison with OPE in Sec.3 and references [26-28] added, section 5 (discussion/plots) reorganized, version to be published in JHEP
22 pages, 8 figures, comparison with OPE in Sec.3 and references [26-28] added, section 5 (discussion/plots) reorganized, version to be published in JHEP