QCD corrections to inclusive heavy hadron weak decays at ${\Lambda }_{\mathrm{QCD}}^3/m_Q^3$

Abstract

We present an analytical calculation of the ${\alpha }_s$ corrections for the coefficient of ${\rho }_D/m_Q^3$ term in the heavy quark expansion for the inclusive semileptonic decays of heavy hadrons, such as $B\to X_c\ell \bar{\nu }$. The full dependence of the coefficient on the final-state quark mass is taken into account. Our result leads to further improvement of the theoretical predictions for the precision determination of CKM matrix element $|V_{cb}|$.

arXiv comment4 figures

References in corpus (33)

• Heavy Quark Symmetry
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays
• Inclusive Semileptonic B and Polarized Lambda_b Decays from QCD
• The Physics of the B Factories
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Mass effects in muon and semileptonic b -> c decays
• Order 1/m_b^3 corrections to B\to X_c\ell\barνdecay and their implication for the measurement of \barΛand λ_1
• Imprecated, yet Impeccable: On the Theoretical Evaluation of Gamma(B -> X_c \ell ν)
• Inclusive semileptonic fits, heavy quark masses, and V_cb
• Higher Order Power Corrections in Inclusive B Decays
• The second order QCD contribution to the semileptonic b -> u decay rate
• O(α_s^2) corrections to semileptonic decay b \to c l \bar ν_l
• On the evaluation of a certain class of Feynman diagrams in x-space: Sunrise-type topologies at any loop order
• On the evaluation of sunset-type Feynman diagrams
• Renormalization Group Scaling of the 1/m^2 HQET Lagrangian
• Perturbative corrections to power suppressed effects in semileptonic B decays
• Kinetic corrections to B -> X_c l nu at one loop
• Spectator Effects in the Heavy Quark Effective Theory
• $V_{cb}$ determination from inclusive $b\to c$ decays: an alternative method
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Reparametrization Invariance and Partial Re-Summations of the Heavy Quark Expansion
• The Two Roads to "Intrinsic Charm" in B Decays
• Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms
• A new technique for computing the spectral density of sunset-type diagrams: integral transformation in configuration space
• Heavy Quark Effective Field Theory at O(1/m_Q^2). I. QCD Corrections to the Lagrangian
• Renormalizing the heavy quark effective field theory Lagrangian to order 1/m^2
• Resumming Phase Space Logarithms in Inclusive Semileptonic $B$ Decays
• Next-to-next-to-leading order relation between $R(e^{+}{e}^{-}\to b\bar{b})$ and ${\Gamma }_{\mathrm{sl}}(b\to cl{\nu }_l)$ and precise determination of $|V_{cb}|$
• Report of the Quark Flavor Physics Working Group
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN

Cited by in corpus (15)

• 50 Years of Quantum Chromodynamics
• Three loop calculations and inclusive $V_{cb}$
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• Lattice QCD study of inclusive semileptonic decays of heavy mesons
• Revisiting Inclusive Decay Widths of Charmed Mesons
• Disintegration of beauty: a precision study
• 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
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Quark-hadron duality at work: lifetimes of bottom baryons
• Impact of background effects on the inclusive $V_{cb}$ determination
• Recent progress in decays of $b$ and $c$ hadrons
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays