Studying $\kappa$ meson with a MILC fine lattice

TL;DR

This study uses lattice QCD simulations with improved staggered fermions to compute the $ppa$ meson mass, achieving results consistent with experimental data through chiral extrapolation.

Contribution

It applies rooted staggered chiral perturbation theory to analyze lattice correlators and determine the physical $ppa$ mass, providing a precise lattice-based estimate.

Findings

Computed $ppa$ mass as 835±93 MeV

Results agree with BES experimental measurements

Demonstrated effectiveness of rS$hi$PT in lattice analysis

Abstract

Using the lattice simulations in the Asqtad-improved staggered fermion formulation we compute the point-to-point $\kappa$ correlators, which are analyzed by the rooted staggered chiral perturbation theory (rS$\chi$PT). After chiral extrapolation, we secure the physical $\kappa$ mass with $835\pm93$ MeV, which is in agreement with the BES experimental results. The computations are performed using a MILC 2+1 flavor fine gauge configuration at a lattice spacing of $a \approx 0.09$ fm.