We propose the approach for a lattice investigation of light-cone distribution amplitudes (LCDA) of heavy-light mesons, such as the B-meson, using the formalism of parton pseudo-distributions. A basic ingredient of the approach is the study of short-distance behavior of the B-meson Ioffe-time distribution amplitude (ITDA), which is a generalization of the B-meson LCDA in coordinate space. We construct a reduced ITDA for the B-meson, and derive the matching relation between the reduced ITDA and the LCDA. The reduced ITDA is ultraviolet finite, which guarantees that the continuum limit exists on the lattice.
@article{arxiv.2006.05663,
title = {$B$-meson Ioffe-time distribution amplitude at short distances},
author = {Shuai Zhao and Anatoly V. Radyushkin},
journal= {arXiv preprint arXiv:2006.05663},
year = {2021}
}
Comments
6 pages, 1 figure, version published in Phys. Rev. D