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Cobimaximal mixing pattern from a $Δ(27)$ inverse seesaw model

A. E. Cárcamo Hernández, Ivo de Medeiros Varzielas, Nicolás A. Pérez-Julve

Abstract

We present an inverse seesaw model based on the $Δ(27)$ symmetry and Abelian discrete symmetries, which account for the mass hierarchies and, through a specific pattern of symmetry breaking, leads to viable leptonic mixing angles according to the cobimaximal mixing pattern. In the model, leptogenesis successfully accounts for the observed baryon asymmetry of the Universe for a large range of the parameter space, only for the scenario of normal neutrino mass hierarchy.

Cobimaximal mixing pattern from a $Δ(27)$ inverse seesaw model

Abstract

We present an inverse seesaw model based on the symmetry and Abelian discrete symmetries, which account for the mass hierarchies and, through a specific pattern of symmetry breaking, leads to viable leptonic mixing angles according to the cobimaximal mixing pattern. In the model, leptogenesis successfully accounts for the observed baryon asymmetry of the Universe for a large range of the parameter space, only for the scenario of normal neutrino mass hierarchy.
Paper Structure (6 sections, 25 equations, 3 figures, 2 tables)

This paper contains 6 sections, 25 equations, 3 figures, 2 tables.

Table of Contents

  1. The model
  2. Lepton masses and mixings
  3. Leptogenesis
  4. Conclusions
  5. Acknowledgments
  6. The $\Delta (27)$ discrete group

Figures (3)

  • Figure 1: Correlations of the effective Majorana mass parameter of neutrinoless double beta decay $m_{ee}$ with the lightest neutrino mass, the parameter $m_{e}$ and the sum of the active neutrino masses for the scenario of normal neutrino mass hierarchy. The limits in dashed line correspond to KamLAND-Zen KamLAND-Zen:2024eml, KATRIN2025 Schlosser:2025vla, DESI2025 Jiang:2024viw and Planck2020 Planck:2018vyg.
  • Figure 2: Correlations of the effective Majorana mass parameter of neutrinoless double beta decay $m_{ee}$ with the lightest neutrino mass, the parameter $m_{e}$ and the sum of the active neutrino masses for the scenario of inverted neutrino mass hierarchy. The limits in dashed line correspond to KamLAND-Zen KamLAND-Zen:2024eml, KATRIN2025 Schlosser:2025vla, DESI2025 Jiang:2024viw and Planck2020 Planck:2018vyg.
  • Figure 3: The baryon asymmetry parameter as a function of $Tr\left[ { \if@compatibility \mathchar"0116 {} \mathchar"0116 } { \if@compatibility \mathchar"0116 {} \mathchar"0116 } ^{\dagger }\right]$ for normal (left panel) and inverted (right panel) neutrino mass hierarchy. The red points in left panel are the points that fit the baryon asymmetry parameter $Y_{\Delta B}=(0.87\pm 0.01)\times 10^{-10}$.