Non-factorizable contribution in nonleptonic weak interactions of K mesons

TL;DR

This paper systematically analyzes non-factorizable contributions in nonleptonic weak interactions of K mesons, including decays and mass differences, by separating factorizable and non-factorizable amplitudes with a focus on hadron state contributions.

Contribution

It introduces a method to estimate non-factorizable effects in K meson decays by combining naive factorization with dynamical hadron state contributions.

Findings

Non-factorizable effects are significant in K meson decays.

A model for non-factorizable contributions dominated by hadron states is proposed.

Quantitative estimates of decay amplitudes are provided.

Abstract

Two pion decays of K mesons, K_L-K_S mass difference, two photon and the Dalitz decays of K_L are studied systematically by assuming that their amplitude is given by a sum of factorizable and non-factorizable ones. The former is estimated by using a naive factorization while the latter is assumed to be dominated by dynamical contributions of various hadron states.