Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw

Abstract

In this paper, we attempt to implement the neutrino $\mu$-$\tau$ reflection symmetry (which predicts ${\theta }_{23}^{}=\pi /4$ and $\delta =\pm \pi /2$ as well as trivial Majorana phases) in the minimal seesaw (which enables us to fix the neutrino masses). For some direct (the preliminary experimental hints towards ${\theta }_{23}^{}\ne \pi /4$ and $\delta \ne -\pi /2$) and indirect (inclusion of the renormalization group equation effect and implementation of the leptogenesis mechanism) reasons, we particularly study the breakings of this symmetry and their phenomenological consequences.

20 pages, 7 figures, accepted for publication in JHEP

References in corpus (6)

• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Neutrinoless double beta decay and neutrino mass
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Neutrino Masses, Lepton Flavor Mixing and Leptogenesis in the Minimal Seesaw Model
• Neutrino Mixing and CP Phase Correlations
• Mu-tau reflection symmetry with a texture-zero

Cited by in corpus (6)

• The minimal seesaw and leptogenesis models
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results