Embedding Generalized CP Symmetry in One Zero Texture Neutrino Mass Models

TL;DR

This paper explores one-zero textures in neutrino mass models with generalized CP symmetry, deriving predictions for neutrino parameters and testing their viability against current and future experimental and cosmological data.

Contribution

It introduces a novel approach combining one-zero textures with generalized CP symmetry to predict neutrino mass matrices and analyze their experimental viability.

Findings

Inverted hierarchy sum of neutrino masses conflicts with Planck data.

Certain textures are disfavored by DESI and other cosmological bounds.

Future experiments will critically test these neutrino mass models.

Abstract

In this study, we investigate one zero textures within the framework of generalized CP symmetry associated with the complex tribimaximal matrix. By combining these approaches, we derive predictive neutrino mass matrices and establish correlations between different parameters. Future long-baseline experiments, including NO$\nu$A, DUNE, and Hyper-Kamiokande, will provide a test of the predictions for the atmospheric mixing angle arising from this analysis. We also analyze the implications for neutrinoless double beta decay in the context of one-zero textures, in light of current and future experimental data. Our analysis indicates that the sum of the three neutrino masses in the inverted hierarchy is inconsistent with the cosmological bounds from Planck data ($\Sigma m_i < 0.12 \text{eV}$). In addition, constraints from the DESI/SDSS+Pantheon+DES-SN dataset ($\Sigma m_i < 0.17\text{eV}$) within the $\Lambda$CDM + Fluid DR + $\sum m_\nu$ framework at 95\% confidence level also disfavor the inverted hierarchy. In addition, constraints from the DESI experiment ($\Sigma m_i < 0.072$eV) may rule out all matrices in the $X_1$ case except $m_I$, and in the $X_2$ scenario except $m_I$, $m_{II}$, and $m_{III}$. Thus, the improved cosmological observations on $\Sigma m_i$ shall have decisive implications for viability of this class of model.