In the investigation of in-medium modifications of quarkonia and for determining heavy quark diffusion coefficients, correlation functions play a crucial role. For the first time we perform a continuum extrapolation of charmonium and bottomonium correlators in the vector channel based on non-perturbatively clover-improved Wilson fermions in quenched lattice QCD. Calculations were done at 4 different lattice spacings, spatial extents between 96 and 192, aspect ratio from 1/6 to 1/2, for 5 temperatures between T/Tc=0.75 and T/Tc=2.2. We interpolate between different quark masses to match to the same vector meson mass over different lattice setups. Afterwards we extrapolate the renormalized correlators to the continuum. While we find a strong temperature dependence for charmonium, bottomonium states are only slightly affected at higher temperatures.
@article{arxiv.1710.08858,
title = {Continuum extrapolation of quarkonium correlators at non-zero temperature},
author = {Heng-Tong Ding and Olaf Kaczmarek and Anna-Lena Kruse and Hiroshi Ohno and Hauke Sandmeyer},
journal= {arXiv preprint arXiv:1710.08858},
year = {2020}
}