Can $B -> X_c \ell ν$ help us extract |V_{ub}| ?

Details Can $B -> X_c \ell ν$ help us extract |V_{ub}| ? Can $B -> X_c \ell ν$ help us extract |V_{ub}| ?

2005-12-13

arxiv.org/abs/hep-ph/0512157v2

JHEP0605:056,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 8 figures, comparison with OPE in Sec.3 and references [26-28] added, section 5 (discussion/plots) reorganized, vers

Scientific paper

10.1088/1126-6708/2006/05/056

We study radiative corrections to $\bar{B} \to X_c \ell \bar{\nu}_\ell$ decays assuming the power counting $m_c \sim \sqrt{\Lambda_QCD m_b}$ 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 $\bar{B} \to X_c\ell\bar{\nu}_\ell$ and $\bar{B} \to X_u \ell \bar{\nu}_\ell$ 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}|.

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