Studying the $\rho$ resonance parameters with staggered fermions

TL;DR

This study uses lattice QCD with staggered fermions to analyze the $ ho$ resonance parameters through $ ho$ meson decay into pions, examining quark-mass dependence across multiple lattice ensembles and spacings.

Contribution

It provides a detailed lattice QCD analysis of $ ho$ resonance parameters using multiple moving frames and pion masses, advancing understanding of resonance behavior with improved computational techniques.

Findings

Extracted $ ho$ resonance parameters across various pion masses.

Analyzed quark-mass dependence of the $ ho$ resonance.

Utilized large lattice volumes and multiple lattice spacings for accuracy.

Abstract

We deliver a lattice study of $\rho$ resonance parameters with p-wave $\pi\pi$ scattering phases, which are extracted by finite-size methods at one center-of-mass frame and four moving frames for six MILC lattice ensembles with pion masses ranging from $346$ to $ 176$ MeV. The effective range formula is applied to describe the scattering phases as a function of the energy covering the resonance region, this allows us to extract $\rho$ resonance parameters and to investigate the quark-mass dependence. Lattice studies with three flavors of the Asqtad-improved staggered fermions enable us to use the moving-wall source technique on large lattice spatial dimensions ($L=64$) and small light $u/d$ quarks. Numerical computations are carried out at two lattice spacings, $a \approx 0.12$ and $0.09$ fm.