Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays

Abstract

The two-loop QCD radiative corrections to the $B_c$ meson leptonic decay rate are calculated in the framework of NRQCD factorization formalism. Two types of master integrals appearing in the calculation are obtained analytically for the first time. We get the short-distance coefficient of the leading matrix element to order ${\alpha }_s^2$ by matching the full perturbative QCD calculation results to the corresponding NRQCD ones. The result in this work helps the evaluation of the $B_c$ leptonic decay constant, as well as the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$, to the full next-to-next-to-leading order degree of accuracy.

Typos are corrected

References in corpus (8)

• Big-Bang Nucleosynthesis
• Algorithm FIRE -- Feynman Integral REduction
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• $Apart: A Generalized Mathematica Apart Function
• Fermionic Corrections to the Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Inclusive Charm Production in chi_b Decays
• Higher order QCD corrections in exclusive charmless B decays
• Two-loop master integrals for non-leptonic heavy-to-heavy decays

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• Three-loop planar master integrals for heavy-to-light form factors
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