# Predictions for the neutrino parameters in the minimal model extended by linear combination of U(1)$_{L_e-L_\mu}$, U(1)$_{L_\mu-L_\tau}$ and U(1)$_{B-L}$ gauge symmetries

## TL;DR

This paper explores minimal extensions of the Standard Model with specific U(1) gauge symmetries, deriving precise predictions for neutrino parameters, mass hierarchies, and implications for leptogenesis based on constrained mass matrix structures.

## Contribution

It introduces a novel framework combining multiple U(1) symmetries to restrict neutrino mass matrices, leading to unique predictions for neutrino parameters and compatibility with recent data.

## Key findings

- Predicted all neutrino parameters as functions of mixing angles and mass differences.
- Identified seven minimal models consistent with current neutrino oscillation data.
- Provided predictions for the sum of neutrino masses and effective Majorana mass.

## Abstract

We study the minimal extensions of the Standard Model by a linear combination of U(1)$_{L_e-L_\mu}$, U(1)$_{L_\mu-L_\tau}$ and U(1)$_{B-L}$ gauge symmetries, where three right-handed neutrinos and one U(1)-breaking SU(2)$_L$ singlet or doublet scalar are introduced. Because of the dependence on the lepton flavor, the structures of both Dirac and Majorana mass matrices of neutrinos are restricted. In particular, the two-zero minor and texture structures in the mass matrix for the active neutrinos are interesting. Analyzing these structures, we obtain uniquely all the neutrino parameters, namely the Dirac CP phase $\delta$, the Majorana CP phases $\alpha_{2,3}$ and the mass eigenvalues of the light neutrinos $m_i$ as functions of the neutrino mixing angles $\theta_{12}$, $\theta_{23}$, and $\theta_{13}$, and the squared mass differences $\Delta m^2_{21}$ and $\Delta m^2_{31}$. In 7 minimal models which are consistent with the recent neutrino oscillation data, we also obtain the predictions for the sum of the neutrino masses $\Sigma_i m_i$ and the effective Majorana neutrino mass $\langle m_{\beta \beta} \rangle$ and compare them with the current experimental limits. In addition, we also discuss the implication of our results for leptogenesis.