Pion Scattering Revisited

TL;DR

This paper revisits pion scattering analysis within the linear sigma model, incorporating chiral Ward identities to better account for the sigma meson's width and estimate its mass from experimental data.

Contribution

It provides a reanalysis of pion scattering data using chiral Ward identities, leading to a revised sigma meson mass estimate and improved theoretical consistency.

Findings

Sigma meson mass estimated at 600+200-100 MeV

Chiral Ward identities improve sigma width accounting

Reanalysis aligns theoretical models with experimental data

Abstract

Chiral Ward identities lead to consistent accounting for the sigma's width in the linear sigma model's Feynman rules. Reanalysis of pion scattering data at threshold imply a mass for the sigma of 600+ 200 - 100 MeV.