Two-loop renormalization of heavy-light currents at order \(1/m_Q\) in the heavy-quark expansion

DOI10.1016/S0550-3213(01)00341-8zbMATH Open0971.81563arXivhep-ph/0012183MaRDI QIDQ5943503

T. Becher, A. A. Petrov, M. Neubert

Publication date: 25 September 2001

Published in: Nuclear Physics B (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-ph/0012183

zbMATH Keywords

renormalization-group improved perturbation theorytwo-loop anomalous dimension matrix

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Renormalization group methods applied to problems in quantum field theory (81T17)

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