$K\pi$ scattering and excited meson spectroscopy using the stochastic LapH method

TL;DR

This study employs the stochastic LapH method to analyze $K\pi$ scattering and meson spectra on large anisotropic lattices, including partial wave mixing and multiple pion masses, advancing lattice QCD spectroscopy techniques.

Contribution

It introduces a comprehensive lattice QCD analysis of $K\pi$ scattering and meson spectra using stochastic LapH, including partial wave mixing and multiple lattice setups.

Findings

Calculated $K\pi$ scattering amplitudes for $I=1/2$, $s$- and $p$-waves.

Presented finite-volume spectra for two different pion masses.

Implemented stochastic LapH for all-to-all quark propagators in large lattice volumes.

Abstract

Elastic $I=1/2$, $s$- and $p$-wave $K\pi$ scattering amplitudes are simultaneously calculated using a L\"uscher style analysis on a single ensemble of dynamical Wilson-clover fermions at $m_\pi \sim 230$ MeV. Partial wave mixing due to the reduced rotational symmetries of the finite volume is included up to $\ell=2$. We also present finite-volume QCD spectra on two large anisotropic lattices ($32^3 \times 256$, $24^3 \times 128$) with $m_\pi \sim 230,\ 390$ MeV respectively. In each symmetry channel, a large basis of one- and two-hadron interpolating operators is employed with all-to-all quark propagation treated using the stochastic LapH method.