Spectral properties of bottomonium at high temperature: a systematic investigation

Abstract

We investigate spectral features of bottomonium at high temperature, in particular the thermal mass shift and width of ground state S-wave and P-wave state. We employ and compare a range of methods for determining these features from lattice NRQCD correlators, including direct correlator analyses (multi-exponential fits and moments of spectral functions), linear methods (Backus-Gilbert, Tikhonov and HLT methods), and Bayesian methods for spectral function reconstruction (MEM and BR). We comment on the reliability and limitations of the various methods.

Comments: 11 pages, 6 figures, proceedings of XVIth Quark Confinement and the Hadron Spectrum, Cairns, Australia, 19-24 August 2024