$I=1$ $\pi$-$\pi$ scattering at the physical point

TL;DR

This paper analyzes I=1 pi-pi scattering at the physical point using lattice QCD techniques, employing stochastic distillation to compute correlation matrices and applying L"uscher analysis to extract phase shifts that agree with experimental data.

Contribution

It introduces a preliminary lattice QCD analysis of I=1 pi-pi scattering at the physical point using stochastic distillation and L"uscher analysis.

Findings

Good agreement of phase shifts with experimental results

Effective use of stochastic distillation for correlation matrix computation

Successful extraction of low energy spectra

Abstract

We present a preliminary analysis of $I=1$ $\pi\,\pi$ scattering at the physical point. We make use of the stochastic variant of the distillation framework (also known as sLapH) to compute the relevant two-point correlation matrices using a basis of single and multihadron interpolating operators to estimate the low energy spectra. We perform the L\"uscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.