On the possibility of a measurement of the CP Majorana phase in the 0\nu\beta\beta-decay

TL;DR

This paper explores the potential to measure the difference of CP Majorana phases in neutrino physics through neutrinoless double-beta decay, especially under the inverted hierarchy scenario, considering experimental and theoretical uncertainties.

Contribution

It investigates the feasibility of determining CP Majorana phase differences from neutrinoless double-beta decay data, highlighting conditions under the inverted hierarchy.

Findings

Measurement may be possible if decay is observed in inverted hierarchy

Experimental accuracy and nuclear matrix element uncertainties are critical

Recent b1_{13} measurements influence the analysis

Abstract

In view of recent measurements of the mixing angle \theta_{13} a possibility to determine the difference of two CP Majorana phases of the neutrino mixing matrix from the study of neutrinoless double-beta decay is investigated. We show that in the case of the inverted hierarchy of neutrino masses it might be possible if neutrinoless double-beta decay will be observed. The required experimental accuracies and uncertainty in the calculated nuclear matrix elements of the process are discussed.