I will present results on the T>0 charmonium and bottomonium
spectral functions, based on high statistics lattice NRQCD calculations
of the corresponding correlators performed in 2016-2018 (full
statistics for $48^3 \times 12$ lattices and new results on $64^3 \times 16$ lattice).
We extract the quarkonium in-medium spectral functions based on two
complementary strategies: 1. A direct Bayesian reconstruction via
a novel variant of the BR method. This remedies the ringing
problem inherent in the previous analysis. 2. Correlator model fits with
adapted frequency binning, which incorporate the combined insight
from potential based computations and the T=0 spectral functions.
We find that the quarkonium masses are shifted to smaller values
with increasing temperatures and also provide upper limits
on the thermal width. We compare the temperature
dependence of the correlation functions obtained
in lattice NRQCD with the potential model.
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