A simple expression of the Jarlskog determinant

TL;DR

This paper presents a straightforward way to express the Jarlskog determinant by making the CKM matrix real and highlights that maximal weak CP violation is a physical property.

Contribution

It introduces a simple expression for the Jarlskog determinant and emphasizes the physical significance of maximal CP violation.

Findings

The imaginary part of any one term of the CKM determinant equals J.

Making the CKM matrix real simplifies the expression of CP violation.

Maximal weak CP violation is identified as a physical statement.

Abstract

Making the whole determinant of the CKM matrix V real, the imaginary part of any one term of the determinant of V (e. g. |Im V_{31}V_{22}V_{13}|) is the Jarlskog determinant J. We also point out that the maximality of the weak CP violation is a physical statement