Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-10-11
JHEP0612:036,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
40 pages
Scientific paper
10.1088/1126-6708/2006/12/036
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.
Gambino Paolo
Gardi Einan
Ridolfi Giovanni
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