A Bayesian approach to chiral extrapolations

TL;DR

This paper introduces a Bayesian method for extracting low-energy constants in effective field theories, improving parameter estimation and addressing limitations of traditional techniques, with applications demonstrated in chiral perturbation theory and lattice QCD.

Contribution

The paper presents a novel Bayesian framework for parameter extraction in effective field theories, enhancing accuracy and reliability over standard methods.

Findings

Bayesian approach effectively estimates low-energy constants.

Method addresses shortcomings of traditional parameter extraction.

Application to lattice QCD data demonstrates practical utility.

Abstract

The determination of low-energy constants from data is an important component of most effective field theory programs, including that of chiral perturbation theory. We propose a novel method based on Bayesian probability theory which allows us to address several shortcomings of the standard approach to parameter extraction. Using a toy-model we argue that the Bayesian approach is ideally suited for the application in effective field theories. We also discuss the application to lattice QCD data.