B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space

Abstract

Based on the dual representation in terms of the recently established eigenfunctions of the evolution kernel in heavy-quark effective theory, we investigate the description of the B-meson light-cone distribution amplitude (LCDA) beyond tree-level. In particular, in dual space, small and large momenta do not mix under renormalization, and therefore perturbative constraints from a short-distance expansion in the parton picture can be implemented independently from non-perturbative modelling of long-distance effects. It also allows to (locally) resum perturbative logarithms from large dual momenta at fixed values of the renormalization scale. We construct a generic procedure to combine perturbative and non-perturbative information on the B-meson LCDA and compare different model functions and the resulting logarithmic moments which are the relevant hadronic parameters in QCD factorization theorems for exclusive B-meson decays.

arXiv comment13 pages, 5 figures, minor layout issues resolved

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Cited by in corpus (26)

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• Precision calculations of the double radiative bottom-meson decays in soft-collinear effective theory
• Exclusive neutrino-production of a charmed meson
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• Evolution equation for the higher-twist B-meson distribution amplitude
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Renormalization group equation improved analysis of $B\to \pi$ form factors from Light-Cone Sum Rules
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• Charged current electroproduction of a charmed meson at an electron-ion collider
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• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• Rapidity resummation for $B$-meson wave functions
• Structure-dependent QED effects in exclusive $B$-meson decays
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$
• Subleading power corrections in radiative leptonic $B$ decay
• The B-meson Light-Cone Distribution Amplitude in Dual Space
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