$\mu -\tau$ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model

Abstract

The minimal seesaw framework, embroiling the Dirac neutrino mass matrix $M_D$ and the Majorana neutrino mass matrix $M_R$, is quite successful to explain the current global-fit results of neutrino oscillation data. In this context, we consider most predictive forms of $M_D$ and $M_R$ with two simple parameters, respectively. Considering these matrices, we obtain the low energy neutrino mass matrix under type-I seesaw formalism which obeys $\mu -\tau$ reflection symmetry and predicts ${\theta }_{23}=\pi /4$ and $\delta =\pm \pi /2$. In the given set-up, we also evaluate the Baryon Asymmetry of the Universe (BAU) through successful leptogenesis and find that perturbation of $\mathcal{O}(10^{-2})$ leads to the observed BAU and breaks exactness of the symmetry. Moreover, we also perform various correlation studies among different parameters in the framework of broken symmetry.

13 pages, 4 figures, some more discussion added. Version accepted for publication in MPLA

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• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
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Cited by in corpus (9)

• Minimal inverse-seesaw mechanism with Abelian flavour symmetries
• Scalar-singlet assisted leptogenesis with CP violation from the vacuum
• New approach to neutrino masses and leptogenesis with Occam's razor
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• Flavor Imprints on Novel Low Mass Dark Matter
• Minimal U(1) two-Higgs-doublet models for quark and lepton flavour
• Leptogenesis in the $\mu \tau$ basis
• Fate of ${\theta }_{12}$ under $\mu -\tau$ Reflection Symmetry in Light of the First JUNO Results