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$B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
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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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Three-particle di-light-cone distribution amplitudes of the $B$-meson in heavy-quark effective theory
The authors identify eight independent three-particle DLCDAs of the B-meson, perform their complete Lorentz decomposition in definite-twist basis, obtain tree-level relations for integrals and moments from operator id...
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Light-cone sum rules with $B$-meson distribution amplitudes for the $B\to p$ form factors in $B$-mesogenesis models
New light-cone sum-rule form factors predict B+→p + dark-antiproton rates and lower limits showing that Belle II/BaBar bounds must reach 10⁻⁸–10⁻⁷ for a decisive test of B-mesogenesis.
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Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
P-wave B→Kπ form factors are derived from light-cone sum rules with B-meson distribution amplitudes, and the K* width is shown to produce a universal ~10% form-factor increase, corresponding to a ~20% rate enhancement.
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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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Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation
Using the renormalon model, the paper estimates that power corrections to the QCD-to-HQET light-cone distribution amplitude matching are around 22% for the D meson and 7% for the B meson in the peak region.
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