2–4 Jul 2024
Swansea University
Europe/London timezone

Dispersive analysis of the $\sigma$ resonance, in $\pi \pi$ scattering, from lattice QCD

2 Jul 2024, 10:10
30m
Singleton Park Campus (Swansea University)

Singleton Park Campus

Swansea University

Singleton Park, Swansea, SA2 8PP
Invited talk Talks

Speaker

Arkaitz Rodas Bilbao (Old Dominion University / Jefferson Lab)

Description

We determine from lattice QCD the $I=0,\,1,\,2$ $\pi \pi$ elastic scattering amplitudes for various quark masses. We study the quark mass dependence of the $\sigma$ resonance and observe that, as an unstable particle, its pole position determination is very noisy. By performing a full dispersive analysis, we drastically reduce the systematic uncertainties associated with model extractions of the $\sigma$ and low-energy $\pi \pi$ scattering, and determine the pole position with accuracy.

Primary author

Arkaitz Rodas Bilbao (Old Dominion University / Jefferson Lab)

Presentation materials