International Workshop on Partial Wave Analyses and Advanced Tools for Hadron Spectroscopy (PWA13/ATHOS8)

Dispersive determination of the $\sigma$ resonance from lattice QCD

May 31, 2024, 4:15 PM

30m

Brinkley Commons Room (William & Mary School of Business)

Spectroscopy of light mesons and baryons Session

Speaker

Arkaitz Rodas (ODU/Jefferson Lab)

Description

We determine, from Lattice QCD, the elastic $\pi\pi$ scattering amplitude in the three possible isospin channels for various quark masses. We observe that, once the $\sigma$ becomes an unstable particle, its pole position is very noisy. By performing a full dispersive analysis, we drastically reduce the systematic uncertainties associated with model extractions, constrain the low energy scattering region, and determine the pole position with accuracy.

Presentation materials

ARB_PWA:ATHOS_2024.pdf