Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector

TL;DR

This paper presents a method to extract properties of scalar mesons from lattice QCD data using a two-channel chiral unitary approach in finite volume, enabling accurate determination of resonance parameters.

Contribution

It introduces a finite-volume scheme based on relativistic propagators for extracting scalar meson properties from lattice QCD data, advancing the analysis of multi-channel scattering.

Findings

Framework can accurately determine resonance pole positions.

Synthetic data analysis shows feasibility of extracting mass and width.

Method applicable to multi-channel scalar meson analysis.

Abstract

We develop a scheme for the extraction of the properties of the scalar mesons f0(600), f0(980), and a0(980) from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in a finite volume. In order to discuss the feasibility of finding the mass and width of the scalar resonances, we analyze synthetic lattice data with a fixed error assigned, and show that the framework can be indeed used for an accurate determination of resonance pole positions in the multi-channel scattering.