$K\to\pi\pi$ matrix elements beyond the leading-order chiral expansion

TL;DR

This paper introduces a new method for calculating $K o ext{pi} ext{pi}$ decay matrix elements beyond leading order in chiral perturbation theory, with ongoing numerical analysis to validate the approach.

Contribution

The paper presents a novel approach to compute $K o ext{pi} ext{pi}$ matrix elements at next-to-leading order in chiral expansion, advancing beyond previous leading-order calculations.

Findings

Approach for NLO calculations proposed

Numerical study in progress

Potential for more accurate decay predictions

Abstract

We propose an approach for calculating $K\to\pi\pi$ decays to the next-to-leading order in chiral expansion. A detailed numerical study of this approach is being performed.