PoS - Proceedings of Science
Volume 377 - 18th International Conference on B-Physics at Frontier Machines (Beauty2019) - Posters
$B_c \rightarrow J/\psi$ Form Factors and $R(J/\psi)$ using Lattice QCD
J. Harrison,* C. Davies, A. Lytle
*corresponding author
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Pre-published on: March 02, 2020
Published on:
Abstract
We present a lattice QCD determination of the $B_c \rightarrow J/\psi$ vector and axial-vector form factors over the full physical $q^2$ range with non-perturbatively renormalised lattice currents. Our calculation uses the Highly Improved Staggered Quark (HISQ) action on the second generation MILC gluon ensembles including light, strange and charm sea quarks. We use HISQ heavy quarks, with a range of masses going up to the $b$ on our finest lattices. Finally we use these form factors to compute the differential decay rates and construct the ratio of decay rates $R(J/\psi) = \Gamma(B_c \rightarrow J/\psi \tau^-\overline{\nu}_\tau)/\Gamma(B_c \rightarrow J/\psi \ell^-\overline{\nu}_\ell)$ where $\ell$ is either a muon or electron.
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