$B$-Meson Distribution Amplitude from the $B\to π$ Form Factor

Details $B$-Meson Distribution Amplitude from the $B\to π$ Form Factor $B$-Meson Distribution Amplitude from the $B\to π$ Form Factor

2005-04-12

arxiv.org/abs/hep-ph/0504091v2

Phys.Lett. B620 (2005) 52-60

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 figure, version to appear in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2005.06.021

Employing the light-cone sum rule approach in QCD, we relate the $B$-meson distribution amplitude to the $B\to \pi$ form factor at zero momentum transfer. In leading order, the sum rule is converted into a simple expression for the inverse moment $\lambda_B$ of the distribution amplitude $\phi_{+}^B$. Using as an input the $B\to\pi$ form factor calculated from the light-cone sum rule in terms of pion distribution amplitudes, we obtain an estimate: $\lambda_B =460 \pm 160 $ MeV. We investigate how this result is modified by the $B$-meson three-particle distribution amplitudes.

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