First determination of the Jarlskog invariant of CP violation from the moduli of the CKM matrix elements

TL;DR

This paper demonstrates the first numerical determination of the Jarlskog invariant of CP violation using experimental data on CKM matrix moduli, confirming the internal consistency of quark mixing parameters.

Contribution

It introduces a novel method to determine the Jarlskog invariant directly from CKM moduli without assumptions, highlighting the matrix's unitarity constraints.

Findings

Successful determination of the Jarlskog invariant in eight different ways.

Confirmation of the self-consistency between CP-conserving and CP-violating parameters.

No additional assumptions needed for the calculation.

Abstract

We find that the precision and accuracy of current experimental data on the moduli of nine Cabibbo-Kobayashi-Maskawa (CKM) quark flavor mixing matrix elements allow us to numerically determine the it correct size of the Jarlskog invariant of CP violation from four of them in eight different ways for the first time without making any special assumptions. This observation implies a remarkable self-consistency of the correlation between CP-conserving and CP-violating quantities of the CKM matrix as guaranteed by its unitarity.