Subleading-power corrections to the radiative leptonic B -> gamma lv decay in QCD

Author(s)
Yu-Ming Wang, Yue-Long Shen
Abstract

Applying the method of light-cone sum rules with photon distribution amplitudes, we compute the subleading-power correction to the radiative leptonic B -> gamma lv from the twist-two hadronic photon contribution at next-to-leading order in QCD; and further evaluate the higher-twist "resolved photon" corrections at leading order in as, up to twist-four accuracy. QCD factorization for the vacuum-to-photon correlation function with an interpolating current for the B-meson is established explicitly at leading power in A/m(b) employing the evanescent operator approach. Resummation of the parametrically large logarithms of m(b)(2)/Lambda(2) entering the hard function of the leading-twist factorization formula is achieved by solving the QCD evolution equation for the light-ray tensor operator at two loops. The leading-twist hadronic photon effect turns out to preserve the symmetry relation between the two B -> gamma form factors due to the helicity conservation, however, the higher-twist hadronic photon corrections can yield symmetry-breaking effect already at tree level in QCD. Using the conformal expansion of photon distribution amplitudes with the non-perturbative parameters estimated from QCD sum rules, the twist-two hadronic photon contribution can give rise to approximately 30% correction to the leading-power "direct photon" effect computed from the perturbative QCD factorization approach. In contrast, the subleading-power corrections from the higher-twist two-particle and three-particle photon distribution amplitudes are estimated to be of O(3 similar to 5%) with the light-cone sum rule approach. We further predict the partial branching fractions of B -> gamma lv with a photon energy cut E gamma >= E-cut, which are of interest for determining the inverse moment of the leading-twist B-meson distribution amplitude thanks to the forthcoming high -luminosity Belle II experiment at KEK.

Organisation(s)
Particle Physics
External organisation(s)
Nankai University, Ocean University of China
Journal
Journal of High Energy Physics
No. of pages
36
ISSN
1029-8479
DOI
https://doi.org/10.1007/JHEP05(2018)184
Publication date
05-2018
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/subleadingpower-corrections-to-the-radiative-leptonic-b--gamma-lv-decay-in-qcd(0120c29f-1656-42b5-8167-f38fd4b03e72).html