Application of Bayesian statistics to $\eta$-meson decay constant in $\chi$PT

TL;DR

This paper employs Bayesian statistics within chiral perturbation theory to analyze the eta-meson decay constant, comparing theoretical predictions with experimental data and constraining low energy constants.

Contribution

It introduces a Bayesian approach to constrain low energy constants in chiral perturbation theory using eta-meson decay data.

Findings

Compatibility of decay constant determinations with SU(3) fits

Preliminary constraints on L5^r and L4^r constants

Bayesian method applied to meson decay analysis

Abstract

The decay constant of the $\eta$-meson in the framework of 'resummed' chiral perturbation theory is discussed. A theoretical prediction is compared to the available determinations. Compatibility of these determinations with the latest fits of the SU(3) low energy coupling constants is investigated. Preliminary results for the obtained constraints on the low energy coupling constants $L^r_5$ and $L^r_4$, using Bayesian statistical approach, are presented.