The $I$ = 1/2 and 3/2 $K-\pi$ scattering length with domain wall fermions at physical pion mass with all-to-all propagators

TL;DR

This paper reports on lattice QCD calculations of $K-\pi$ scattering lengths for isospin 1/2 and 3/2 channels using domain wall fermions at physical pion mass, addressing systematic effects and preliminary results.

Contribution

First calculation of $K-\pi$ scattering lengths at physical quark masses using domain wall fermions with analysis of systematic effects.

Findings

Preliminary scattering length values obtained.

Systematic effects due to around-the-world terms analyzed.

Progress in lattice QCD methods for hadron scattering.

Abstract

We present our calculations for the $I$ = 1/2 and 3/2 $K-\pi$ s-wave scattering length with physical quark masses, extracted from the interaction energy of Euclidean two-point functions. We use the domain wall fermion action with physical quark masses at a single lattice spacing. We are specifically interested in the systematic effects due to around-the-world terms on the overall determination of the scattering length. We present our progress and discuss the various systematic effects in our preliminary results.