Semi-Leptonic b-decay at Intermediate Recoil

Abstract

We compute the O(α_s^2) corrections to the differential rate of the semileptonic decay b -> clv at the "intermediate recoil" point, where the c-quark mass and the invariant mass of the leptons are equal. The calculation is based on an expansion around two opposite limits of the quark masses m_{b,c}: m_c ~ m_b and m_c << m_b. The former case was previously studied; we correct and extend that result. The latter case is new. The smooth matching of both expansions provides a check of both. We clarify the discrepancy between the recent determinations of the full NNLO QCD correction to the semileptonic b -> c rate, and its earlier estimate.

9 pages, 6 figures, Replaced figures, small format and typo corrections, added appendix and references

References in corpus (13)

• Mass effects in muon and semileptonic b -> c decays
• The second order QCD contribution to the semileptonic b -> u decay rate
• Two-loop QCD corrections to top quark width
• Two-loop QCD corrections to $b\to c$ transitions at zero recoil
• O(α_s^2) corrections to semileptonic decay b \to c l \bar ν_l
• Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay
• Charm Mass Dependence of the $\CO(α_s^2 n_f)$ Correction to Inclusive $B\to X_{c}e{\bar{\nu }}_e$ Decay
• Two-loop QCD Corrections to $b\to c$ Transitions at Zero Recoil: Analytical Results
• Two-loop QCD corrections to semileptonic b decays at maximal recoil
• Threshold behavior of Feynman diagrams: the master two-loop propagator
• Two-loop QCD corrections to semileptonic b decays at an intermediate recoil
• Theory of asymptotic operation. A summary of basic principles
• Two-loop QCD corrections to semileptonic b-quark decays near maximum recoil

Cited by in corpus (4)

• Flavor Physics in the Quark Sector
• Revisiting Inclusive Decay Widths of Charmed Mesons
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• B Meson Decays