Two-Loop Renormalization of Heavy--Light Currents at Order 1/m_Q in the Heavy-Quark Expansion

Abstract

We present exact results, at next-to-leading order in renormalization-group improved perturbation theory, for the Wilson coefficients appearing at order 1/m_Q in the heavy-quark expansion of heavy-light current operators. To this end, we complete the calculation of the corresponding two-loop anomalous dimension matrix. Our results are important for determinations of |V_{ub}| using exclusive and inclusive semileptonic B decays. They are also relevant to computations of the decay constant f_B based on a heavy-quark expansion.

16 pages, 2 figures; third author added and one reference updated, results unchanged

References in corpus (1)

• Improved Determination of |V_{ub}| from Inclusive Semileptonic B-Meson Decays

Cited by in corpus (3)

• Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
• Asymptotics of the perturbative series for f_{B^*}/f_B
• Improved Determination of |V_{ub}| from Inclusive Semileptonic B-Meson Decays