Light-cone sum rules for $B \to π$ form factors revisited

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dc.creatorDuplancic, G.
dc.creatorKhodjamirian, A.
dc.creatorMannel, Th.
dc.creatorMelic, B.
dc.creatorOffen, N.
dc.date2008-01-11
dc.date2008-04-03
dc.date.accessioned2026-07-07T12:24:08Z
dc.date.available2026-07-07T12:24:08Z
dc.descriptionWe reconsider and update the QCD light-cone sum rules for $B\to π$ form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The $\bar{MS}$ $b$-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for $f^+_{Bπ}(q^2)$ is fitted to the measured $q^2$-distribution in $B\to πl ν_l$, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the $B\to π$ 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 $|V_{ub}f^+_{Bπ}(0)|$ extracted from experiment, we obtain $|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1) \times 10^{-3}$. In addition, the scalar and penguin $B\to π$ form factors $f^0_{Bπ}(q^2)$ and $f^T_{Bπ}(q^2)$ are calculated.
dc.description33 pages, 7 figures, one figure and a few comments added, version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0801.1796
dc.identifierhttp://arxiv.org/abs/0801.1796
dc.identifierJHEP 0804:014,2008
dc.identifierdoi:10.1088/1126-6708/2008/04/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214225
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLight-cone sum rules for $B \to π$ form factors revisited
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