A comparison of spectral reconstruction methods applied to non-zero temperature NRQCD meson correlation functions

Abstract

We present results from the fastsum collaboration's programme to determine the spectrum of the bottomonium system as a function of temperature. Three different methods of extracting spectral information are discussed: a Maximum Likelihood approach using a Gaussian spectral function for the ground state, the Backus Gilbert method, and the Kernel Ridge Regression machine learning procedure. We employ the fastsum anisotropic lattices with 2+1 dynamical quark flavours, with temperatures ranging from 47 to 375 MeV.

8 pages, 4 figures. Presented at A Virtual Tribute to Quark Confinement and the Hadron Spectrum, August 2-6 2021, University of Stavanger, Stavanger, Norway