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Light-cone distribution amplitudes of heavy mesons with QED effects
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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.
Forward citations
Cited by 3 Pith papers
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A five-stage EFT tower factorizes QED corrections to muon conversion and decay-in-orbit near the endpoint, yielding a resummed NLL-corrected signal shape.
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Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s \gamma$ and $\bar{B} \to X_s \ell^+\ell^-$ at subleading power
The authors derive and solve the renormalization-group equation for the subleading shape function g17(ω,ω1;μ) in inclusive B decays, and simplify the RG evolution of a related exclusive soft function.
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