$K \pi$ scattering at physical pion mass using distillation

TL;DR

This paper investigates $K $ scattering at physical pion mass in lattice QCD, comparing stochastic and exact distillation methods to improve the extraction of resonant states.

Contribution

It introduces a comparison between stochastic and exact distillation techniques for $K $ scattering at physical pion mass in lattice QCD.

Findings

Stochastic and exact distillation methods are compared for different eigenvector counts.

Distillation effectively aids in extracting excited states in lattice QCD.

Results inform optimal distillation strategies for resonance studies.

Abstract

Scattering at physical pion mass is still an exploratory field in lattice QCD. This generally involves the extraction of excited states through multi-particle correlators on systems with resonances. In that context, distillation has been demonstrated to be effective both as a smearing kernel and a computational tool. Motivated by the study of the smearing profile of the distillation operator, we compare stochastic and exact distillation cases for different numbers of Laplacian eigenvectors using an RBC-UKQCD $N_f=2+1$ domain-wall fermion lattice with a physical pion mass.