Recent progress in applying lattice QCD to kaon physics

TL;DR

This paper reviews recent advances in lattice QCD techniques applied to kaon physics, focusing on non-leptonic decays, mixing, and rare decay processes, highlighting progress beyond traditional matrix element calculations.

Contribution

It provides an overview of recent developments in lattice QCD for kaon physics, emphasizing non-leptonic decay and long-distance process calculations.

Findings

Progress in non-leptonic $K o\pi\pi$ decay calculations

Advances in long-distance $K^0$-$ar{K}^0$ mixing studies

Improved understanding of rare kaon decay processes

Abstract

Standard lattice calculations in kaon physics are based on the evaluation of matrix elements of local operators between two single-hadron states or a single-hadron state and the vacuum. Recent progress in lattice QCD has gone beyond these standard observables. I will review the status and prospects of lattice kaon physics with an emphasis on non-leptonic $K\to\pi\pi$ decay and long-distance processes including $K^0$-$\overline{K^0}$ mixing and rare kaon decays.