Running-coupling effects in the triple-differential charmless semileptonic decay width

Abstract

We compute the fully-differential B -> X_u l nu decay width to all orders in perturbation theory in the large-beta0 limit. Each of the five structure functions that build the hadronic tensor is expressed as a Borel integral, summing up O(CF beta0^{n-1} alpha_s^n) corrections for any n. We derive analytic expressions for the Borel transforms of both real and virtual diagrams with a single dressed gluon, and perform an all-order infrared subtraction, where the Borel parameter serves also as an infrared regulator. Expanding the result we recover the known triple-differential NLO coefficient, and obtain an explicit expression for the O(CF beta0 alpha_s^2) triple-differential NNLO correction. This result can be used to improve the determination of |V_{ub}| from inclusive B -> X_u l nu measurements at the B factories with a variety of kinematic cuts.

40 pages

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Cited by in corpus (5)

• Inclusive semileptonic B decays and the determination of |V_ub|
• A dispersive approach to Sudakov resummation
• On the determination of |V_{ub}| from inclusive semileptonic B decays
• Semileptonic B decays and the inclusive determination of |V(ub)|
• High order perturbative corrections to the determination of |Vub| from the P+ spectrum in B -> Xu l nu