Semileptonic b --> u decays: lepton invariant mass spectrum

Abstract

We compute O(alpha_s^2) QCD corrections to the lepton invariant mass spectrum in the decay b --> u l nu_l, relevant for the determination of the CKM matrix element |V_{ub}|. Our method can also be used to evaluate moments of the lepton energy distribution with an O(alpha_s^2) accuracy. The abelian part of our result gives the neutrino invariant mass spectrum in the muon decay and, upon integration, the O(alpha^2) correction to the muon lifetime.

5 pages, revtex

References in corpus (1)

• Precision determination of |V_{ub}| from inclusive decays

Cited by in corpus (19)

• Electromagnetic Logarithms in B -> X_s l+ l-
• Complete NNLO QCD Analysis of B -> X_s l^+ l^- and Higher Order Electroweak Effects
• Logarithmically Enhanced Corrections to the Decay Rate and Forward Backward Asymmetry in anti-B --> X(s) l+ l-
• Results and Techniques of Multi-Loop Calculations
• Heavy-to-light decays with a two-loop accuracy
• Precise predictions for B -> Xs l+ l- in the large q^2 region
• Muon Decay Spectrum: Leading Logarithmic Approximation
• Next-to-next-to-leading order calculations for heavy-to-light decays
• On the $O({\alpha }_s^2)$ corrections to $b\to X_{u}e\bar{\nu }$ inclusive decays
• Hadronic mass and q^2 moments of charmless semileptonic B decay distributions
• Threshold Resummed Spectra in B -> Xu l nu Decays in NLO (I)
• Analytic three-loop QCD corrections to top-quark and semileptonic $b\to u$ decays
• Complete Michel Parameter Analysis of inclusive semileptonic b \to c transition
• Analytic result for the top-quark width at next-to-next-to-leading order in QCD
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
• Semileptonic decays in the limit of a heavy daughter quark
• Three-loop QCD corrections and b-quark decays
• Threshold expansion for heavy-light systems and flavor off-diagonal current-current correlators
• Two-loop QCD corrections to semileptonic b-quark decays near maximum recoil