Deviations from $\mu$-$\tau$ symmetry using $\Delta$(27) group on neutrino masses and mixings

TL;DR

This paper explores a neutrino mass model based on the $ ext{Δ}(27)$ symmetry, which explains deviations from $ ext{μ-τ}$ symmetry and aligns with experimental data on neutrino oscillations, masses, and CP violation.

Contribution

It introduces a $ ext{Δ}(27)$-based model with extended Higgs and neutrino sectors that predicts neutrino parameters consistent with current observations.

Findings

Neutrino oscillation parameters match global fit data.

Sum of neutrino masses is consistent with Planck cosmological bounds.

Predicted effective neutrino masses are within experimental detection ranges.

Abstract

Implication of neutrino mass model based on $\Delta$(27) discrete flavor symmetry, on parameters of neutrino oscillations, CP violation and effective neutrino masses is studied using type-I seesaw mechanism. The Standard Model particle content is extended by adding two additional Higgs doublets, three right-handed neutrinos and two scalar triplets under $\Delta$(27) symmetry predicting diagonal charged lepton mass matrix. This can generate the desired deviation from $\mu - \tau$ symmetry. The resulting neutrino oscillation parameters are well agreed with the latest global fit oscillation data. The sum of the three absolute neutrino mass eigenvalues, $\sum\limits_{i}|m_{i}|$ (i=1,2,3) is found to be consistent with that of the value given by latest Planck cosmological data, $\sum\limits_{i}|m_{i}|<$0.12 eV. The model further predicts effective neutrino masses for neutrinoless double beta decay, 4.15 meV $\leq m_{ee}\leq$ 30.6 meV, tritium beta decay, 8.4 meV $\leq m_{\beta}\leq$ 30.5 meV, Jarlskog invariant, $J_{CP}=\pm 0.022$ for CP violation, baryon asymmetry $Y_{B}=1.15 \times 10^{-10}$ for normal hierarchical case; and also 49.5 meV $\leq m_{ee}\leq$ 51.7 meV, 49.5 meV $\leq m_{\beta}\leq$ 51.4 meV, $J_{CP}=\pm 0.022$, $Y_{B}=1.12\times 10^{-10}$ for inverted hierarchical case respectively.