Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation

Abstract

The triple differential spectrum in \bar{B} -> X_u l \barν is computed by Dressed Gluon Exponentiation (DGE). In this framework the on-shell calculation, converted into hadronic variables, can be directly used as an approximation to the meson decay spectrum, without involving a leading-power non-perturbative function. Sudakov resummation for the fully differential \bar{B} -> X_u l \barν width is formulated in moment space, where moments are defined using the ratio between the lightcone momentum components of the partonic jet p^+/p^- and the hard scale is p^-. In these variables the correspondence with the \bar{B} -> X_s γcase is transparent. The Sudakov exponent is known to next-to-next-to-leading logarithmic accuracy. Further constraints are put on its Borel sum using the cancellation of the leading renormalon ambiguity and the absence of the next-to-leading one, which was proven in the large-beta_0 limit and assumed here to be general. Based on the resummed spectrum, matched to the fully differential NLO result, we calculate the event fraction associated with experimental cuts on the hadronic mass (or the small lightcone component) as well as on the lepton energy. Finally, we extract |V_ub| from recent measurements by Belle and analyze the theoretical uncertainty.

v1: 61 pages, 14 figures; v2: 63 pages, 14 figures. Extended discussion on non-perturbative effects in Sections 1.2, 3.4, 4.1 and 4.2. Added references. To be published in JHEP

References in corpus (16)

• Theory of Charmless Inclusive B Decays and the Extraction of V_{ub}
• Measurements of the B -> X_s gamma Branching Fraction and Photon Spectrum from a Sum of Exclusive Final States
• Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)
• On the photon energy moments and their `bias' corrections in B -> X_s+γ
• Measurement of the Inclusive Electron Spectrum in Charmless Semileptonic B Decays Near the Kinematic Endpoint and Determination of |Vub|
• On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function
• Measurement of |V_ub| near the endpoint of the electron momentum spectrum from semileptonic B-meson decays
• Determination of |Vub| from Measurements of the Electron and Neutrino Momenta in Inclusive Semileptonic B Decays
• Threshold resummed spectra in B -> Xu l nu decays in NLO (II)
• A two-loop relation between inclusive radiative and semileptonic B-decay spectra
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• Radiative and semi-leptonic B-meson decay spectra: Sudakov resummation beyond logarithmic accuracy and the pole mass
• Perturbative corrections to the determination of Vub from the P+ spectrum in B->X_u l nu
• Shape-function independent relations of charmless inclusive B-decay spectra
• Measurement of the inclusive electron spectrum in charmless semileptonic B decays near the kinematic endpoint and determination of |Vub|
• A New Approach to Inclusive Decay Spectra

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