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 above the strong-interaction scale ${\Lambda }_{\mathrm{QCD}}$ 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 ${\alpha }_{\mathrm{em}}$, which resums large logarithms in QCD on top of a fixed-order expansion in ${\alpha }_{\mathrm{em}}$. 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.

30 pages, 3 figures

References in corpus (7)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Enhanced electromagnetic correction to the rare $B$-meson decay $B_{s,d}\to {\mu }^{+}{\mu }^{-}$
• QED Corrections in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ at the Double-Differential Level
• Exclusive Radiative Decays of W and Z Bosons in QCD Factorization
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• QED factorization of non-leptonic $B$ decays
• On the Impact of Soft Photons on $B\to K{\ell }^{+}{\ell }^{-}$

Cited by in corpus (5)

• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• QED in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ LFU ratios: Theory versus Experiment, a Monte Carlo Study
• Light-cone distribution amplitudes of heavy mesons with QED effects
• On the contribution of the electromagnetic dipole operator ${\mathcal{O}}_7$ to the ${\bar{B}}_s\to {\mu }^{+}{\mu }^{-}$ decay amplitude
• Resolving Charged Hadrons in QED -- Gauge Invariant Interpolating Operators