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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A.G. Grozin and M. Neubert, Asymptotics of heavy meson form-factors, Phys. Rev. D 55 (1997) 272 [hep-ph/9607366] [INSPIRE].
M. Beneke and T. Feldmann, Symmetry breaking corrections to heavy to light B meson form-factors at large recoil, Nucl. Phys. B 592 (2001) 3 [hep-ph/0008255] [INSPIRE].
M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, QCD factorization for B → ππ decays: Strong phases and CP-violation in the heavy quark limit, Phys. Rev. Lett. 83 (1999) 1914 [hep-ph/9905312] [INSPIRE].
X.-D. Ji and M.J. Musolf, Subleading logarithmic mass dependence in heavy meson form-factors, Phys. Lett. B 257 (1991) 409 [INSPIRE].
M. Beneke, C. Bobeth and R. Szafron, Power-enhanced leading-logarithmic QED corrections to Bq → μ+μ−, JHEP 10 (2019) 232 [arXiv:1908.07011] [INSPIRE].
M. Beneke, P. Böer, J.-N. Toelstede and K.K. Vos, QED factorization of non-leptonic B decays, JHEP 11 (2020) 081 [arXiv:2008.10615] [INSPIRE].
M. Beneke, P. Böer, J.-N. Toelstede and K.K. Vos, Light-cone distribution amplitudes of light mesons with QED effects, JHEP 11 (2021) 059 [arXiv:2108.05589] [INSPIRE].
B.O. Lange and M. Neubert, Renormalization group evolution of the B meson light cone distribution amplitude, Phys. Rev. Lett. 91 (2003) 102001 [hep-ph/0303082] [INSPIRE].
S. Actis, M. Beneke, P. Falgari and C. Schwinn, Dominant NNLO corrections to four-fermion production near the W-pair production threshold, Nucl. Phys. B 807 (2009) 1 [arXiv:0807.0102] [INSPIRE].
G. Bell and T. Feldmann, Modelling light-cone distribution amplitudes from non-relativistic bound states, JHEP 04 (2008) 061 [arXiv:0802.2221] [INSPIRE].
G. Bell, T. Feldmann, Y.-M. Wang and M.W.Y. Yip, Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons, JHEP 11 (2013) 191 [arXiv:1308.6114] [INSPIRE].
V.M. Braun and A.N. Manashov, Conformal symmetry of the Lange-Neubert evolution equation, Phys. Lett. B 731 (2014) 316 [arXiv:1402.5822] [INSPIRE].
Z.L. Liu, B. Mecaj, M. Neubert, X. Wang and S. Fleming, Renormalization and Scale Evolution of the Soft-Quark Soft Function, JHEP 07 (2020) 104 [arXiv:2005.03013] [INSPIRE].
M. Beneke, P. Böer, P. Rigatos and K.K. Vos, QCD factorization of the four-lepton decay B− → \( \ell {\overline{\nu}}_{\ell }{\ell}^{\left(\prime \right)}{\overline{\ell}}^{\left(\prime \right)} \), Eur. Phys. J. C 81 (2021) 638 [arXiv:2102.10060] [INSPIRE].
C. Wang, Y.-M. Wang and Y.-B. Wei, QCD factorization for the four-body leptonic B-meson decays, JHEP 02 (2022) 141 [arXiv:2111.11811] [INSPIRE].
S.W. Bosch, R.J. Hill, B.O. Lange and M. Neubert, Factorization and Sudakov resummation in leptonic radiative B decay, Phys. Rev. D 67 (2003) 094014 [hep-ph/0301123] [INSPIRE].
M. Beneke, V.M. Braun, Y. Ji and Y.-B. Wei, Radiative leptonic decay B → γℓνℓ with subleading power corrections, JHEP 07 (2018) 154 [arXiv:1804.04962] [INSPIRE].
V.M. Braun, Y. Ji and A.N. Manashov, Two-loop evolution equation for the B-meson distribution amplitude, Phys. Rev. D 100 (2019) 014023 [arXiv:1905.04498] [INSPIRE].
M. Beneke, P. Böer, G. Finauri and K.K. Vos, QED factorization of two-body non-leptonic and semi-leptonic B to charm decays, JHEP 10 (2021) 223 [arXiv:2107.03819] [INSPIRE].
Y.L. Luke, The Special Functions and Their Approximations, Academic Press, New York, U.S.A. (1969).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2204.09091
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Beneke, M., Böer, P., Toelstede, JN. et al. Light-cone distribution amplitudes of heavy mesons with QED effects. J. High Energ. Phys. 2022, 20 (2022). https://doi.org/10.1007/JHEP08(2022)020
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2022)020