Perturbative corrections to power suppressed effects in $\bar{B}\to X_u\ell \nu$

Abstract

We compute the $O({\alpha }_s)$ corrections to the Wilson coefficients of the dimension five operators in inclusive semileptonic $B$ decays in the limit of a massless final quark. Our calculation agrees with reparameterization invariance and with previous results for the total width and places constraints on the shape functions that enter those decays.

arXiv comment20 pages, 2 figures; v2: corrected typo in Eq. (5.5)

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Cited by in corpus (5)

• 50 Years of Quantum Chromodynamics
• Loopy Determinations of $V_{ub}$ and $V_{cb}$
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order
• Recent progress in decays of $b$ and $c$ hadrons
• Potential and limitations of machine-learning approaches to inclusive $|V_{ub}|$ determinations