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B-Meson Distribution Amplitude from the Bto π Form Factor
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$B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
abstract
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.
Forward citations
Cited by 5 Pith papers
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Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
A global fit to B→π,K,D lattice form factors and B→πℓν data yields λ_B=217(19)+82−17 MeV and |V_ub|=3.68(13)+0−1×10−3.
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Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
Global fit of B to pi, K, D form factors from lattice QCD and LCSR yields lambda_B = 217(19) MeV with model variations and |V_ub| = 3.68(13) x 10^{-3}.
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