Exploring distillation at the SU(3) flavour symmetric point

TL;DR

This paper presents an exact distillation method using stabilised Wilson fermions at the SU(3) flavour symmetric point, aiming to facilitate non-perturbative studies of hadronic decays and meson scattering.

Contribution

It introduces a flexible distillation setup with stabilised Wilson fermions at the SU(3) symmetric point, enabling improved control over multi-hadron states in lattice QCD.

Findings

Reliability of finite-volume energy extraction depends on the number of eigenvectors used.

The distillation setup effectively studies two-to-two pseudoscalar meson scattering.

The method advances non-perturbative investigations of hadronic D-decays.

Abstract

In these proceedings we present an exact distillation setup with stabilised Wilson fermions at the SU(3) flavour symmetric point utilising the flexibility of the Grid and Hadrons software libraries. This work is a stepping stone towards a non-perturbative investigation of hadronic D-decays, for which one needs to control the multi-hadron final states. As a first step we study two-to-two s-wave scattering of pseudoscalar mesons. In particular we examine the reliability of the extraction of finite-volume energies as a function of the number of eigenvectors of the gauge-covariant Laplacian entering our distillation setup.