$ \mu-\tau $ Reflection Symmetry Embedded in Minimal Seesaw

TL;DR

This paper embeds $$ reflection symmetry into the minimal seesaw model, analyzing how symmetry breaking affects neutrino masses and mixing, with implications for neutrino phenomenology.

Contribution

It introduces a novel integration of $$ reflection symmetry into the minimal seesaw framework and systematically studies symmetry breaking effects.

Findings

Derived specific forms of neutrino mass matrices under $$ reflection symmetry.

Analyzed the impact of symmetry breaking on neutrino phenomenology.

Explored renormalization group effects on symmetry breaking schemes.

Abstract

We embed $\mu-\tau$ reflection symmetry into the minimal seesaw formalism, where two right-handed neutrinos are added to the Standard Model of particle physics. Assuming that both the left- and right-handed neutrino fields transform under $\mu-\tau$ reflection symmetry, we obtain the required forms of the neutrino Dirac mass matrix and the Majorana mass matrix for the right-handed neutrinos. To investigate the neutrino phenomenology at low energies, we first consider the breaking of $\mu-\tau$ reflection symmetry due to the renormalization group running, and then systematically study various breaking schemes by introducing explicit breaking terms at high energies.