G parity boundary conditions and Delta I = 1/2, K to pi pi decays

TL;DR

This paper reviews the application of G-parity boundary conditions in lattice QCD calculations of K to pi pi decays, proposing a method to improve the treatment of pions and kaons for more accurate results.

Contribution

It introduces a consistent method to handle pions and kaons in full QCD using G-parity boundary conditions, enhancing the calculation of decay amplitudes.

Findings

Creates physical pion momenta in a 3 fm box

Reduces statistical noise in decay calculations

Provides a framework for more accurate Delta I=1/2 decay computations

Abstract

The use of G-parity boundary conditions to compute Delta I = 1/2, K to pi pi decays is reviewed and a method to consistently treat both the pions and kaon in full QCD proposed. This approach creates a physical, final-state, pion momentum using a 3 fm box and avoids statistical noise coming from pions with smaller momentum.