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

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

2008-01-11

arxiv.org/abs/0801.1796v2

JHEP 0804:014,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 7 figures, one figure and a few comments added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2008/04/014

We reconsider and update the QCD light-cone sum rules for $B\to \pi$ 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 $f^+_{B\pi}(q^2)$ is fitted to the measured $q^2$-distribution in $B\to \pi l \nu_l$, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the $B\to \pi$ vector form factor at zero momentum transfer we predict $f^+_{B\pi}(0)= 0.26^{+0.04}_{-0.03}$. Combining it with the value of the product $|V_{ub}f^+_{B\pi}(0)|$ 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 $B\to \pi$ form factors $f^0_{B\pi}(q^2)$ and $f^T_{B\pi}(q^2)$ are calculated.

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