Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order

Abstract

We present analytical results for master integrals emerging in the computation of differential rates for inclusive weak decays of heavy flavors at next-to-leading order (NLO) in QCD. As an immediate physical application, these master integrals allow for a calculation of the spectra of the leptonic invariant mass in inclusive semileptonic decays in the framework of the heavy quark expansion, including the NLO QCD corrections to power suppressed terms.

arXiv comment30 pages and 8 figures

References in corpus (28)

• Weak Decays Beyond Leading Logarithms
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Inclusive Semileptonic B and Polarized Lambda_b Decays from QCD
• Nonperturbative Corrections to Inclusive Beauty and Charm Decays: QCD versus Phenomenological Models
• Differential Distributions in Semileptonic Decays of the Heavy Flavors in QCD
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Dilogarithm identities
• Operator Product Expansion for Inclusive Semileptonic Decays in Heavy Quark Effective Field Theory
• Inclusive semileptonic B decays and the determination of |V_ub|
• |Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme
• Power Corrections in the Decay Rate and Distributions in $B\to X_s{\ell }^{+}{\ell }^{-}$ in the Standard Model
• Perturbative corrections to semileptonic b decay distributions
• Hadron Spectra for Semileptonic Heavy Quark Decay
• Distributions of leptons in decays of polarised heavy quarks
• QSSR estimate of the $B_B$ parameter at next-to-leading order
• Heavy-to-light decays with a two-loop accuracy
• Improving Extractions of |Vcb| and mb from the Hadronic Invariant Mass Moments of Semileptonic Inclusive B decay
• $V_{cb}$ determination from inclusive $b\to c$ decays: an alternative method
• Heavy-to-light currents at NNLO in SCET and semi-inclusive anti-B ---> X(s) l+ l- decay
• Next-to-next-to-leading order calculations for heavy-to-light decays
• Moments of lepton spectrum in B decays and the $m_b-m_c$ quark mass difference
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms
• Perturbative corrections to the semileptonic b-decay moments: E^\ell_{cut} dependence and running-α_s effects in the OPE approach
• Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-${\bar{B}}^0$ mixing
• Perturbative corrections to power suppressed effects in $\bar{B}\to X_u\ell \nu$
• Detector resolution effects on hadronic mass moments in B -> X l nu

Cited by in corpus (3)

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