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Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
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Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
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An integro-differential equation governing the evolution of the leading-order B-meson light-cone distribution amplitude is derived. The anomalous dimension in this equation contains a logarithm of the renormalization scale, whose coefficient is identified with the cusp anomalous dimension of Wilson loops. The exact analytic solution of the evolution equation is obtained, from which the asymptotic behavior of the distribution amplitude is derived. These results can be used to resum Sudakov logarithms entering the hard-scattering kernels in QCD factorization theorems for exclusive B decays.
Forward citations
Cited by 6 Pith papers
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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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