CP violation for four generations of quarks

TL;DR

This paper generalizes the Jarlskog CP violation condition to a four-quark generation Standard Model, expressing it through invariants and proposing a test for the existence of the fourth generation based on known particles.

Contribution

It extends the Jarlskog CP conservation condition to four quark generations and introduces a test for the fourth generation using existing invariants.

Findings

Derived the generalized Jarlskog condition for four generations.

Expressed the condition in terms of three CKM invariants.

Proposed a test for the fourth quark generation based on known particles.

Abstract

We discuss the generalization of the Jarlskog condition of CP conservation for the case of the Standard Model with 4~quark generations. We express this condition in terms of the 3 Jarlskog invariants of the CKM matrix. Next we present the test for the existence of the 4-th quark generation in terms of the Jarlskog invariants involving only known particles.