Light-cone distribution amplitudes of heavy mesons with QED effects
Apr 19, 2022
39 pages
Published in:
- JHEP 08 (2022) 020
- Published: Aug 1, 2022
e-Print:
- 2204.09091 [hep-ph]
Report number:
- TUM-HEP-1397/22,
- MITP-21-062,
- Nikhef-2022-004
View in:
Citations per year
Abstract: (Springer)
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.Note:
- 38 pages, 3 figures
- Factorization
- Renormalization Group
- Specific QCD Phenomenology
- Bottom Quarks
- distribution amplitude: light cone
- meson: heavy
- coupling: electromagnetic
- quantum electrodynamics: effect
- quantum chromodynamics
- charged particle
References(20)
Figures(4)
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- [7]
- [9]
- [10]
- [11]
- [12]
- [13]
- [15]
- [17]
- [19]
- [20]