Abstract
The two-loop quantum chromodynamics (QCD) radiative corrections to the Bc meson leptonic decay rate are calculated in the framework of the non-relativistic QCD (NRQCD) factorization formalism. Two types of master integrals appearing in the calculation are obtained analytically for the first time. We calculate the short-distance coefficient of the leading matrix element to order αs2 by matching the full perturbative QCD calculation results to the corresponding NRQCD results. The result presented in this work helps the evaluation of both the Bc leptonic decay constant and the Cabibbo–Kobayashi–Maskawa (CKM) matrix element |Vcb| to the full next-to-next-to-leading-order (NNLO) degree of accuracy.
Highlights
The two-loop QCD radiative corrections to the Bc meson leptonic decay rate are calculated in the framework of non-relativistic Quantum Chromodynamics (NRQCD) factorization formalism
The advent of non-relativistic Quantum Chromodynamics (NRQCD) factorization formalism causes investigations on heavy quarkonium more reliable [1], which improves the understanding of strong interaction
By virtue of nonrelativistic QCD(NRQCD) formalism, the Bc meson decay amplitude may be expressed as perturbative QCD(pQCD) calculable short-distance coefficients multiplied by non-pertubative NRQCD matrix elements
Summary
The two-loop QCD radiative corrections to the Bc meson leptonic decay rate are calculated in the framework of NRQCD factorization formalism. I.e., the short-distance coefficient for the leading matrix element at the next-to-next-to-leading order(NNLO), by matching the perturbative result in full QCD with the corresponding perturbative calculation in NRQCD. By employing the technique of differential equation and choosing certain bases of master integrals, we successfully obtain the master integrals required in the calculation of two-loop QCD corrections to Bc leptonic decays.
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