Charmonium contribution to $B \rightarrow K\ell^+\ell^-: testing the factorization approximation on the lattice

Abstract

We report the current status of a study of charmonium contribution to $B\to K{\ell }^{+}{\ell }^{-}$ 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 $q^2$ 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.

7 pages, 5 figures

References in corpus (1)

• Measurement of the phase difference between short- and long-distance amplitudes in the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay