A remark concerning the standard approach to $CP$ violation in a system of $K^o$ mesons

TL;DR

This paper critiques the standard method of describing $CP$ violation in $K^o$ mesons, highlighting an inconsistency involving phase terms in normalization factors, and proposes two simple solutions.

Contribution

It identifies a flaw in the conventional approach to $CP$ violation normalization and introduces two methods to resolve the phase issue.

Findings

The normalization factor should not contain a phase term.

Two methods effectively remove the phase from the normalization factor.

Abstract

Within the standard approach to $CP$ violation in a system of $K^o$ mesons, the normalization factor in the expression for the transition probability $|K^o_1|^2$ contains the $CP$ violation phase. A normalization multiplier for the transition probability can obviously not contain a phase term. In this work two simple methods are proposed for resolving this issue.