A comparison of analysis techniques for extracting resonance parameters from lattice Monte Carlo data

TL;DR

This paper compares various analysis techniques for extracting resonance parameters from lattice Monte Carlo data, focusing on their effectiveness in elastic and inelastic regions using simulations of the O(4) sigma model.

Contribution

It systematically evaluates the applicability and limitations of different methods for resonance parameter extraction from lattice data.

Findings

Methods perform well in the elastic region

Challenges arise in the inelastic region

Simulation results highlight method-specific limitations

Abstract

Different methods for extracting resonance parameters from Euclidean lattice field theory are tested. Monte Carlo simulations of the O(4) non-linear sigma model are used to generate energy spectra in a range of different volumes both below and above the inelastic threshold. The applicability of the analysis methods in the elastic region is compared. Problems which arise in the inelastic region are also emphasised.