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arXiv · 2108.05589

Light-cone distribution amplitudes of light mesons with QED effects

Martin Beneke·Philipp Böer·Jan-Niklas Toelstede·K. Keri Vos
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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 above the strong-interaction scale $\Lambda_{\rm QCD}$ 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 $\alpha_{\rm em}$, which resums large logarithms in QCD on top of a fixed-order expansion in $\alpha_{\rm em}$. 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.

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Martin Beneke, Philipp Böer, Jan-Niklas Toelstede, K. Keri Vos. 2021-08-12. Light-cone distribution amplitudes of light mesons with QED effects. https://doi.org/10.1007/jhep11(2021)059

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