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Light-cone sum rules for B → π form factors revisited

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G. Duplancić1,2, A. Khodjamirian3, Th. Mannel3, B. Melić4 and N. Offen5

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We reconsider and update the QCD light-cone sum rules for B → π form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The overline-MS b-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for f+Bπ(q2) is fitted to the measured q2-distribution in B → πlνl, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the B → π vector form factor at zero momentum transfer we predict f+Bπ(0) = 0.26+0.04−0.03. Combining it with the value of the product |Vubf+Bπ(0)| extracted from experiment, we obtain |Vub| = (3.5±0.4±0.2±0.1) × 10−3. In addition, the scalar and penguin B → π form factors f0Bπ(q2) and fTBπ(q2) are calculated.

Keywords

B-Physics

QCD

NLO Computations

Sum Rules

PACS

13.40.Gp Electromagnetic form factors

11.55.Hx Sum rules

13.40.Ks Electromagnetic corrections to strong- and weak-interaction processes

13.20.He Decays of bottom mesons

12.38.-t Quantum chromodynamics

14.40.Nd Bottom mesons

Subjects

Particle physics and field theory

Dates

Issue 04 (April 2008)

Received 17 January 2008, accepted for publication 25 March 2008

Published 2 April 2008



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