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arXiv · 2006.05663

$B$-meson Ioffe-time distribution amplitude at short distances

Shuai Zhao·Anatoly V. Radyushkin
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Abstract

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.

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Shuai Zhao, Anatoly V. Radyushkin. 2020-06-10. $B$-meson Ioffe-time distribution amplitude at short distances. https://doi.org/10.1103/physrevd.103.054022

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