Empirical Baye's Method and Test in Very Light Quark Range from The Overlap Lattice QCD

TL;DR

This paper discusses an empirical Bayesian method applied to lattice QCD data, proposing a programming approach for mass spectrum fitting and testing a weakly constrained prior method to address singularities in chiral log data fitting.

Contribution

It introduces a novel empirical Bayesian approach and programming framework for mass spectrum fitting in lattice QCD, including a new method for priors to handle singularities.

Findings

Effective Bayesian fitting for lattice QCD spectra

A new approach to priors for chiral log data

Potential improvements in quark mass analysis

Abstract

Based on Bayesian theorem an empirical Baye's method is discussed. A programming chart for mass spectrum fitting is suggested. A weakly constrained way for getting priors to solve the chiral log data fitting singularity is tested.