Chiral Extrapolation of light resonances from Unitarized Chiral Perturbation Theory

TL;DR

This paper uses unitarized chiral perturbation theory to predict how light resonance poles depend on quark mass, providing a bridge between theoretical models and lattice QCD results for mesons like rho(770) and sigma.

Contribution

It introduces a method to predict quark mass dependence of light resonance poles using unitarized chiral perturbation theory, aligning with lattice QCD data.

Findings

Predicted quark mass dependence of rho(770) matches recent lattice results.

Results serve as benchmarks for future lattice studies of light scalar and vector mesons.

Method successfully relates chiral perturbation theory to resonance properties.

Abstract

Both scalar and vector light resonances can be generated from the unitarization of one-loop chiral perturbation theory. This amounts to using in a dispersion relation the chiral expansion, which incorporates the correct QCD quark mass dependence. We can thus predict the quark mass dependence of the poles associated to those light resonances. Our results compare well with some recent lattice results for the rho(770) mass and can be used as a benchmark for future lattice results on the rho(770) or the f0(600) also known as the sigma.