Analytically expressed constraint on two Majorana phases in neutrinoless double beta decay

TL;DR

This paper derives an analytical constraint equation relating two Majorana CP-violating phases in neutrinoless double beta decay, depending on neutrino parameters, providing insights into phase correlations.

Contribution

It presents an analytical expression for the isocontour of effective Majorana mass as a function of two Majorana phases, incorporating six neutrino parameters.

Findings

Derived an explicit isocontour equation for Majorana phases.

Analyzed how the constraint varies with the lightest neutrino mass.

Provides a tool for understanding phase correlations in neutrinoless double beta decay.

Abstract

We assume that neutrinoless double beta decay is caused by the exchange of three light Majorana neutrinos. Under this assumption, we obtain, by the method of perturbation, the equation representing the isocontour of effective Majorana mass which is the function of two CP-violating Majorana phases. The equation representing the isocontour (constraint equation between two Majorana phases) is expressed analytically by six parameters: two lepton mixing angles, two kinds of neutrino mass squared differences, lightest neutrino mass scale, and the effective Majorana mass. We discuss how the constraint equation between two Majorana phases changes when the lightest neutrino mass scale is varied.