Heavy-to-heavy quark decays at NNLO

Abstract

Details of a recent calculation of O(alpha_s^2) corrections to the decay b -> c,l,nu_l, taking into account the c-quark mass, are described. Construction of the expansion in the mass ratio m_c/m_b as well as the evaluation of new four-loop master integrals are presented. The same techniques are applicable to the muon decay, mu -> e,nu_mu,anti-nu_e. Analytical results are presented, for the physical cases as well as for a model with purely-vector couplings.

11 pages

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Cited by in corpus (37)

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• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• B-> D* zero-recoil formfactor and the heavy quark expansion in QCD: a systematic study
• Kinetic operator effects in B-> X_c l nu at O(alpha_s)
• Lattice QCD study of inclusive semileptonic decays of heavy mesons
• $V_{cb}$ determination from inclusive $b\to c$ decays: an alternative method
• Revisiting Inclusive Decay Widths of Charmed Mesons
• Standard Model prediction of the $B_c$ lifetime
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Lifetimes of singly charmed hadrons
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• The Heavy Quark Expansion for Inclusive Semileptonic Charm Decays Revisited
• B Meson Decays
• Semileptonic and leptonic $B$ decays, circa 2016
• Determination of the CKM matrix elements |V(xb)|
• Brief review on semileptonic B decays
• Progress on semi-leptonic $B_{(s)}$ decays
• Third order correction to semileptonic $b\to u$ decay: fermionic contributions
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Impact of background effects on the inclusive $V_{cb}$ determination
• Status of $|V_{cb}|$ and $|V_{ub}|$ CKM matrix elements
• New method for renormalon subtraction using Fourier transform
• The forward-backward asymmetry and differences of partial moments in inclusive semileptonic B decays
• Selected Topics in Heavy Flavour Physics
• A novel determination of the $B_c$ lifetime
• Higher radiative corrections in HQET
• Determination of $|V_{cb}|$ using N${}^3$LO perturbative corrections to $\Gamma (B\to X_c\ell \nu )$ and 1S masses
• Theory of Inclusive B Decays
• Inclusive semileptonic $B_s^0$ meson decays at the LHC via a sum-of-exclusive modes technique: possibilities and prospects
• Semileptonic $B$ decays and $|V_{xb}|$ update
• Completing $1/m_b^3$ corrections to non-leptonic bottom-to-up-quark decays
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays
• A Precision Determination of the CKM Element |Vcb| and a Review of the Status of Inclusive |Vub|