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.

arXiv comment8 pages, 4 figures. Presented at A Virtual Tribute to Quark Confinement and the Hadron Spectrum, August 2-6 2021, University of Stavanger, Stavanger, Norway

References in corpus (10)

• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• The bottomonium spectrum at finite temperature from $N_f=2+1$ lattice QCD
• Thermal Broadening of Bottomonia: Lattice Non-Relativistic QCD with Extended Operators
• Properties of the QCD thermal transition with $N_f=2+1$ flavours of Wilson quark
• News from bottomonium spectral functions in thermal QCD
• Spectral reconstruction in NRQCD via the Backus-Gilbert method
• Reconstruction of bottomonium spectral functions in thermal QCD using Kernel Ridge Regression
• Bottomonium spectral widths at nonzero temperature using maximum likelihood

Cited by in corpus (5)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Pion spectral properties above the chiral crossover of QCD
• Bayesian inference of real-time dynamics from lattice QCD
• Hadrons at high temperature: an update from the FASTSUM collaboration
• QCD at high temperature and density: selected highlights