Mapping the sources of CP violation in neutrino oscillations from the seesaw mechanism

TL;DR

This paper calculates the Jarlskog invariant in neutrino oscillations within the seesaw mechanism, establishing a model-independent link between microscopic CP-violating phases and macroscopic matter-antimatter asymmetry.

Contribution

It provides the first complete, model-independent calculation of the CP violation measure in neutrino oscillations using a full Euler-like parametrization in the seesaw framework.

Findings

The invariant depends on 240 linear combinations of phase parameters.

It connects CP violation in neutrino oscillations to heavy Majorana neutrino decays.

Establishes a link between microscopic phases and matter-antimatter asymmetry.

Abstract

We present the first complete calculation of the Jarlskog invariant, a working measure of the strength of CP violation in the flavor oscillations of three light neutrino species, with the help of a full Euler-like block parametrization of the flavor structure in the canonical seesaw mechanism. We find that this invariant depends on 240 linear combinations of the 6 original phase parameters that are responsible for CP violation in the decays of three heavy Majorana neutrinos in 27 linear combinations as a whole, and thus provides the first model-independent connection between the microscopic and macroscopic matter-antimatter asymmetries.