Light-cone distribution amplitudes of light mesons with QED effects

Abstract We discuss the generalization of the leading-twist light-cone distribution amplitude for light mesons including QED effects. This generalization was introduced to describe virtual collinear photon exchanges at the strong-interaction scale ΛQCD in the factorization of QED effects in non-lept...

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Auteurs principaux: Martin Beneke, Philipp Böer, Jan-Niklas Toelstede, K. Keri Vos
Format: article
Langue:EN
Publié: SpringerOpen 2021
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Accès en ligne:https://doaj.org/article/ce7c0a6d77ec4acd912f07a36c0d3fc0
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Résumé:Abstract We discuss the generalization of the leading-twist light-cone distribution amplitude for light mesons including QED effects. This generalization was introduced to describe virtual collinear photon exchanges at the strong-interaction scale ΛQCD in the factorization of QED effects in non-leptonic B-meson decays. In this paper we study the renormalization group evolution of this non-perturbative function. For charged mesons, in particular, this exhibits qualitative differences with respect to the well-known scale evolution in QCD only, especially regarding the endpoint-behaviour. We analytically solve the evolution equation to first order in the electromagnetic coupling α em, which resums large logarithms in QCD on top of a fixed-order expansion in α em. We further provide numerical estimates for QED corrections to Gegenbauer coefficients as well as inverse moments relevant to (QED-generalized) factorization theorems for hard exclusive processes.