# In-medium heavy quarkonium from lattice NRQCD

## TL;DR

This study uses lattice NRQCD and advanced Bayesian methods to analyze heavy quarkonium in medium, providing precise melting temperatures and in-medium mass shifts, resolving previous uncertainties.

## Contribution

It combines high-statistics lattice ensembles with improved spectral reconstruction to accurately determine quarkonium in-medium modifications and melting points.

## Key findings

- Hierarchical in-medium modification of quarkonium states confirmed.
- Negative in-medium mass shifts for ground states established.
- Resolved previous discrepancies between Bayesian methods.

## Abstract

We present the final results from a multi-year study of the in-medium spectral properties of heavy quarkonium bound states on the lattice. In this work we combine high statistics $N_f=2+1$ ensembles from the HotQCD collaboration with the effective theory NRQCD and improved Bayesian spectral reconstruction methods. We corroborate with high precision the hierarchical in-medium modification of quarkonium states with respect to their vacuum binding energy and provide updated values on melting temperatures. In particular we are able to understand previous disagreements between different Bayesian methods as resulting from underestimated systematic uncertainties. The main quantitative result is a robust determination of the in-medium mass shifts of quarkonium ground states, which we find are negative, consistent with the behavior observed in strongly coupled pNRQCD potential based computations.