Studying $\kappa$ meson with a MILC fine lattice

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.