Predictions of effective Majorana neutrino mass under radiative corrections to $\mu -\tau$ reflection symmetry

Abstract

The search for neutrinoless double beta decay ($0\nu \beta \beta$) is currently one of the key objectives in neutrino physics research. The decay rate of $0\nu \beta \beta$ decay depends on the effective Majorana neutrino mass $|⟨m{⟩}_{ee}|$. In this work we study the numerical prediction of $|⟨m{⟩}_{ee}|$ in the scenario of deviation from the $\mu$-$\tau$ reflection symmetry due to radiative corrections, as an extension of our earlier work \cite{pegu}. In \cite{pegu}, we consider an exact $\mu$-$\tau$ reflection symmetry in the light effective Majorana neutrino mass matrix and in the corresponding lepton mixing matrix as well at the seesaw scale. We choose numerical values of all the mixing parameters and neutrino mass eigenvalues at the seesaw scale as inputs and estimate the values of mass eigenvalues and mixing parameters at the electroweak scale due to radiative corrections. We find these low energy predictions consistent with global $3\sigma$ oscillation data. In the present work, we compute the effective Majorana neutrino mass $|⟨m{⟩}_{ee}|$ using these low energy values at the electroweak scale. We find that the low energy predictions of $|⟨m{⟩}_{ee}|$ are consistent with the latest upper bound $|⟨m{⟩}_{ee}|<(0.028-0.122)eV$ provided by KamLAND-Zen Collaboration.

arXiv comment13 pages

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