NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$

Abstract

We present analytical results for higher order corrections to the decay spectra of inclusive semileptonic heavy hadron weak decays using the heavy quark expansion (HQE). We compute analytically the spectrum of the leptonic invariant mass for $B\to X_c\ell \bar{\nu }$ up to and including terms of order $1/m_Q^3$ within the HQE at next-to-leading order (NLO) in ${\alpha }_s$. The full dependence of the differential rate on the mass of the final-state quark is taken into account. We discuss the implications of our results for the precision determination of the CKM matrix element $|V_{cb}|$.

38 pages, 16 figures; Mathematica output attached as ancillary file. To view attachments, please download and extract the gzipped tar source file listed under "Other formats"

References in corpus (8)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Mass effects in muon and semileptonic b -> c decays
• Higher Order Power Corrections in Inclusive B Decays
• Heavy-to-heavy quark decays at NNLO
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms
• Semi-Leptonic b-decay at Intermediate Recoil
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order

Cited by in corpus (10)

• Disintegration of beauty: a precision study
• Lifetimes of singly charmed hadrons
• 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
• Inclusive Semileptonic $b\to c\ell \bar{\nu }$ Decays to Order $1/m_b^5$
• Revisiting lifetimes of doubly charmed baryons
• The forward-backward asymmetry and differences of partial moments in inclusive semileptonic B decays
• Quark-Hadron Duality Violations and Higher-Order $1/m_b$ Corrections in Inclusive Semileptonic $B$ Decays
• On magnitudes of some CKM matrix elements