Charmonium contribution to $B \rightarrow K\ell^+\ell^-: testing the factorization approximation on the lattice
High Energy Physics - Lattice
2020-01-30 v1 High Energy Physics - Phenomenology
Abstract
We report the current status of a study of charmonium contribution to on the lattice. Our lattice calculation tests the factorization approximation for this contribution. In order to control the problem of the artificial divergence, we focus on the low region with a small b-quark mass. We also take into account the renormalization constants of relevant four-quark operators calculated through the temporal moments. Results suggest a violation of the factorization approximation.
Cite
@article{arxiv.2001.10911,
title = {Charmonium contribution to $B \rightarrow K\ell^+\ell^-: testing the factorization approximation on the lattice},
author = {Katsumasa Nakayama and Tsutomu Ishikawa and Shoji Hashimoto},
journal= {arXiv preprint arXiv:2001.10911},
year = {2020}
}
Comments
7 pages, 5 figures