Coulomb Artifacts and Breakdown of Perturbative Matching in Lattice NRQCD
High Energy Physics - Lattice
2017-12-05 v2 High Energy Physics - Phenomenology
Abstract
By studying an explicit analytical solution of the Coulomb problem on the lattice we demonstrate a breakdown of perturbative matching for the description of the Coulomb artifacts in lattice NRQCD, which leads to a large systematic error in the predictions for the heavy quarkonium spectrum. The breakdown is a result of a fine interplay between the short and long distance effects specific to the lattice regularization of NRQCD. We show how the problem can be solved within the Schrodinger matching procedure.
Keywords
Cite
@article{arxiv.1710.03244,
title = {Coulomb Artifacts and Breakdown of Perturbative Matching in Lattice NRQCD},
author = {A. A. Penin and A. Rayyan},
journal= {arXiv preprint arXiv:1710.03244},
year = {2017}
}
Comments
11 pages, 1 figure. Journal version (minor revisions implemented)