# Bayesian Analysis of Many-Pole Fits of Hadron Propagators in Lattice QCD

## TL;DR

This paper applies Bayesian probability to analyze many-pole fits of hadron propagators in lattice QCD, providing a new method for estimating parameters and their uncertainties with advantages over traditional approaches.

## Contribution

It introduces a Bayesian approach to fit analysis in lattice QCD, offering a novel method for parameter estimation and model comparison.

## Key findings

- Bayesian method yields more reliable parameter estimates.
- The probability distribution of fit parameters is explicitly calculated.
- Model probabilities are quantitatively assessed.

## Abstract

We use Bayes' probability theorem to analyze many-pole fits of hadron propagators. An alternative method of estimating values and uncertainties of the fit parameters is offered, which has certain advantages over the conventional methods. The probability distribution of the parameters of a fit is calculated. The relative probability of various models is calculated.