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.

arXiv commentTypos are corrected

References in corpus (22)

• Big-Bang Nucleosynthesis
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Automatized One-Loop Calculations in 4 and D dimensions
• Multiloop integrals in dimensional regularization made simple
• Algorithm FIRE -- Feynman Integral REduction
• Mesons with Beauty and Charm: Spectroscopy
• Automatized analytic continuation of Mellin-Barnes integrals
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Two-loop Correction to the Leptonic Decay of Quarkonium
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• The three loop on-shell renormalization of QCD and QED
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• $Apart: A Generalized Mathematica Apart Function
• Fermionic Corrections to the Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Two-Loop QCD Corrections to the Heavy-to-Light Quark Decay
• QCD Radiative Corrections to the Leptonic Decay Rate of the B_c Meson
• Leptonic decay of the Upsilon(1S) meson at third order in QCD
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• Inclusive Charm Production in chi_b Decays
• Higher order QCD corrections in exclusive charmless B decays
• 2-loop QCD corrections to Bc-meson leptonic constant
• Two-loop master integrals for non-leptonic heavy-to-heavy decays

Cited by in corpus (23)

• Can NRQCD explain the $\gamma {\gamma }^{\ast }\to {\eta }_c$ transition form factor data?
• Next-to-next-to-leading-order QCD corrections to hadronic width of pseudoscalar quarkonium
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• NNLO QCD Corrections to $\gamma +{\eta }_c({\eta }_b)$ Exclusive Production in Electron-Positron Collision
• Next-to-leading order QCD corrections to paired $B_c$ production in $e^{+}{e}^{-}$ annihilation
• Next-to-next-to-leading-order QCD corrections to ${\chi }_{c0,2}\to \gamma \gamma$
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• Radiative Leptonic $B_c\to \gamma \ell \bar{\nu }$ Decay in Effective Field Theory beyond Leading Order
• The $B_c$ meson and its scalar cousin with the QCD sum rules
• Next-to-next-to-leading order matching of beauty-charmed meson $B_c$ and $B_c^{\ast }$ decay constants
• Two-Loop integrals for CP-even heavy quarkonium production and decays
• Next-to-Next-to-Leading-Order Radiative Corrections to $e^{+}{e}^{-}\to {\chi }_{cJ}+\gamma$ at $B$ factory
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons
• Study on ${\eta }_{c2}({\eta }_{b2})$ electromagnetic decay into double photons
• Three-loop planar master integrals for heavy-to-light form factors
• Decay constant of $B_c^{\ast }$ accurate up to $\mathcal{O}({\alpha }_s^3)$
• Next-to-leading-order QCD corrections to a vector bottomonium radiative decay into a charmonium
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• ${\eta }_c$ production associated with light hadrons at the B-factories and the future super B-factories
• Form factors for semileptonic $B_c$ decays into ${\eta }^{{(}^{\prime })}$ and Glueball