NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$

Abstract

This paper presents ${\alpha }_s$ corrections to the inclusive semitauonic $B\to X_c\tau {\bar{\nu }}_{\tau }$ decay width and leptonic invariant mass spectrum up to order $1/m_b^3$ in the heavy quark expansion. Analytical results with full dependence on the final-state quark and tau lepton masses are obtained. The results up to $1/m_b^2$ can be extrapolated to the $B\to X_u\tau {\bar{\nu }}_{\tau }$ decay by taking the limit of vanishing final-state quark mass.

arXiv comment30 pages and 11 figures

References in corpus (58)

• Evidence for an excess of B -> D(*) Tau Nu decays
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Measurement of the branching ratio of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to $\bar{B}\to D^{(\ast )}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• 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
• Nonperturbative Corrections to Inclusive Beauty and Charm Decays: QCD versus Phenomenological Models
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Test of Lepton Flavor Universality by the measurement of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ branching fraction using three-prong $\tau$ decays
• Differential Distributions in Semileptonic Decays of the Heavy Flavors in QCD
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• Measurement of the $\tau$ lepton polarization and $R(D^{\ast })$ in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$ with one-prong hadronic $\tau$ decays at Belle
• Sum Rules for Heavy Flavor Transitions in the SV Limit
• B decay and the Upsilon mass
• Global analysis of inclusive B decays
• B decays in the upsilon expansion
• Heavy Quark Expansion for the Inclusive Decay $\bar{B}\to \tau \bar{\nu }X$
• Top Quark Pair Production close to Threshold: Top Mass, Width and Momentum Distribution
• 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)
• High Power n of m_b in Beauty Widths and n=5 -> oo Limit
• Charm Quark Mass Dependence of QCD Corrections to Nonleptonic Inclusive B Decays
• Higher Order Power Corrections in Inclusive B Decays
• Radiative corrections to $b\to cτ\batν_τ$
• Semitauonic $b$-hadron decays: A lepton flavor universality laboratory
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• Renormalization Group Scaling of the 1/m^2 HQET Lagrangian
• Second order QCD corrections to inclusive semileptonic b \to Xc l \bar ν_l decays with massless and massive lepton
• 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
• Kinetic operator effects in B-> X_c l nu at O(alpha_s)
• Nonperturbative Corrections to the Heavy Lepton Energy Distribution in the Inclusive Decays $H_b\ra τ\barνX.$
• $V_{cb}$ determination from inclusive $b\to c$ decays: an alternative method
• Inclusive Semitauonic $B$ Decays to Order $\mathcal{O}({\Lambda }_{QCD}^3/m_b^3)$
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Reparametrization Invariance and Partial Re-Summations of the Heavy Quark Expansion
• Precise predictions for B -> Xc tau nu decay distributions
• Inclusive Semileptonic Decays in QCD Including Lepton Mass Effects
• The Two Roads to "Intrinsic Charm" in B Decays
• Inclusive semileptonic ${\Lambda }_b$ decays in the Standard Model and beyond
• Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms
• Contribution of the Darwin operator to non-leptonic decays of heavy quarks
• QCD corrections to inclusive heavy hadron weak decays at ${\Lambda }_{\mathrm{QCD}}^3/m_Q^3$
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• Charm Effects in the $\overline{MS}$ Bottom Quark Mass from ${\rm Y}$ Mesons
• Heavy Quark Effective Field Theory at O(1/m_Q^2). I. QCD Corrections to the Lagrangian
• Tau lepton distributions in semileptonic B decays
• Renormalizing the heavy quark effective field theory Lagrangian to order 1/m^2
• Reparametrization Invariance Constraints on Inclusive Decay Spectra and Masses
• The chromo-polarizabilities of a heavy quark at weak coupling
• $O({\alpha }_s)$ corrections to the correlator of finite mass baryon currents
• HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• Spectator effects in the HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• Polarization of tau leptons in semileptonic B decays
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order

Cited by in corpus (5)

• Disintegration of beauty: a precision study
• Study of singly heavy baryon lifetimes
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Quark-hadron duality at work: lifetimes of bottom baryons
• Revisiting lifetimes of doubly charmed baryons