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 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.

Structure-dependent QED effects in exclusive B-meson decays

“…We will first discuss a number of generic results, before we review the recent progress in studying the factorization of structure-dependent QED effects in specific applications. This includes the purely leptonic modes [30][31][32], as well as semi-leptonic and two-body non-leptonic decays [33][34][35][36].…”

“…The factorization of structure-dependent QED corrections to the non-leptonic decays B q → M 1 M 2 (with q = u, d, s and two mesons M i ) has been analyzed in a series of papers [33][34][35][36]. The final-state hadrons further complicate the analysis compared to the leptonic channels discussed in the previous section, and require introducing QEDgeneralized LCDAs for energetic light mesons as well as generalizations of hadronic transition form factors.…”

“…The detailed study of the renormalization-group evolution of the soft function itself is quite involved, and would go beyond the scope of this review. A comprehensive analysis can be found in the original article [36]. It is worth noting that complex-valued soft functions, defined through operators that contain fields that are separated along different light-cone directions, will become relevant in various processes, in particular for the analysis of power corrections in the 1/m b expansion.…”

Resolving charged hadrons in QED — gauge invariant interpolating operators

“…ChPT applies to low energy physics and might be viewed as a successful expansion around the point-like approximation where the challenge relies in determining the finite counterterms. In SCET, mesons are described by light-cone distribution amplitudes which necessitate the introduction of JHEP11(2022)101 process dependent Wilson lines [19,20]. In lattice Monte Carlo simulations, hadrons are described by either gauge variant or gauge invariant interpolating operators (on which we comment at the end of section 4.1.1).…”

Resolving Charged Hadrons in QED -- Gauge Invariant Interpolating Operators

“…ChPT applies to low energy physics and might be viewed as a successful expansion around the point-like approximation where the challenge relies on determining the finite counterterms. In SCET, mesons are described by light-cone distribution amplitudes which necessitate the introduction of process dependent Wilson lines [19,20]. In lattice Monte Carlo simulations, hadrons are described by either gauge variant or gauge invariant interpolating operators (on which we comment at the end of Sec.…”