Majorana phases in neutrino-antineutrino oscillations

Abstract

If the massive neutrinos are Majorana particles, neutrinoless double beta ($0\nu \beta \beta$) decay experiments are not enough to determine the Majorana phases. We carry out a systematic study of CP violation in neutrino-antineutrino oscillations. In these processes, CP-conserving parts involve six independent $0\nu \beta \beta$-like mass terms $⟨m{⟩}_{\alpha \beta }$ and CP-violating parts are associated with nine independent Jarlskog-like parameters ${\mathcal{V}}_{\alpha \beta }^{ij}$ (for $\alpha ,\beta =e,\mu ,\tau$ and $i,j=1,2,3$). With the help of current neutrino oscillation data, we illustrate the salient features of six independent CP-violating asymmetries between ${\nu }_{\alpha }\to {\bar{\nu }}_{\beta }$ and ${\bar{\nu }}_{\alpha }\to {\nu }_{\beta }$ oscillations.

Comments: 4 pages, 4 figures, NUFACT 2013 proceedings