Light-cone distribution amplitudes of heavy mesons with QED effects

Abstract

We discuss the QED-generalized leading-twist light-cone distribution amplitudes of heavy mesons, that appear in QCD$\times$QED factorization theorems for exclusive two-body $B$ decays. In the presence of electrically charged particles, these functions should be more appropriately regarded as soft functions for heavy-meson decays into two back-to-back particles. In this paper, we derive the one-loop anomalous dimension of these soft functions and study their behaviour under renormalization-scale evolution, obtaining an exact solution in Laplace space. In addition, we provide numerical solutions for the soft functions and analytical solutions to all orders in the strong and to first order in the electromagnetic coupling. For the inverse (and inverse-logarithmic) moments, we obtain an all-order solution in both couplings. We further provide numerical estimates for QED corrections to the inverse moments.

arXiv comment38 pages, 3 figures

References in corpus (17)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Asymptotics of Heavy-Meson Form Factors
• Power-enhanced leading-logarithmic QED corrections to $B_q\to {\mu }^{+}{\mu }^{-}$
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Two-loop evolution equation for the B-meson distribution amplitude
• Conformal symmetry of the Lange-Neubert evolution equation
• Dominant NNLO corrections to four-fermion production near the W-pair production threshold
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• QCD factorization for the four-body leptonic $B$-meson decays
• QED factorization of non-leptonic $B$ decays
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• Light-cone distribution amplitudes of light mesons with QED effects

Cited by in corpus (2)

• 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