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Light-cone distribution amplitudes of light mesons with QED effects
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Light-cone distribution amplitudes of light mesons with QED effects
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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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Cited by 1 Pith paper
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The Simplest B Decay, Precisely
A complete QCD×QED, next-to-leading-power factorization now gives a percent-level prediction for B⁻→μ⁻ν̄(γ) with all structure-dependent electromagnetic corrections included.
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