PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Charmonium contribution to $B \to K l^+l^-$: testing the factorization approximation on the lattice
K. Nakayama*, T. Ishikawa, S. Hashimoto  on behalf of JLQCD Collaboration
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Pre-published on: January 29, 2020
Published on: August 27, 2020
Abstract
We report the current status of a study of charmonium contribution to B → Kl+l− 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 q2 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.
DOI: https://doi.org/10.22323/1.363.0062
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