active–sterile neutrino mixing in model with symmetry for normal neutrino mass ordering

V. V. Vien

doi:10.1140/epjc/s10052-021-09214-5

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 416
https://doi.org/10.1140/epjc/s10052-021-09214-5

Regular Article - Theoretical Physics

$3 + 1$ active–sterile neutrino mixing in $B - L$ model with $S_{3} \times Z_{4} \times Z_{2}$ $S_{3}{\times Z_4\times Z_2}$ symmetry for normal neutrino mass ordering

V. V. Vien¹^,2^a

¹ Theoretical Particle Physics and Cosmology Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
² Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

^a vovanvien@tdtu.edu.vn

Received: 26 March 2021
Accepted: 5 May 2021
Published online: 12 May 2021

Abstract

We propose a non-renormalizable $B - L$ $$B-L$$ model with $S_{3} \times Z_{4} \times Z_{2}$ $S_{3}{\times Z_4\times Z_2}$ symmetry which successfully accommodates the current active–sterile neutrino mixing in $3 + 1$ $$3+1$$ scheme. The $S_{3}$ $$S_3$$ flavor symmetry is supplemented by $Z_{4} \otimes Z_{2}$ $Z_4\otimes Z_2$ symmetry to consolidate the Yukawa interaction of the model. The presence of $S_{3} \otimes Z_{4} \otimes Z_{2}$ $S_3\otimes Z_4\otimes Z_2$ flavour symmetry plays an important role in generating the desired structure of the neutrino mass matrix. The model can reproduce the recent observed active-neutrino neutrino oscillation data for normal ordering in which two sterile–active mixing angles $θ_{14, 24}$ $\theta _{14, 24}$ get the best-fit values and the obtained values of $θ_{34}, δ_{14}, δ_{14}$ $\theta _{34}, \delta _{14}, \delta _{14}$ , the sum of neutrino mass and the effective neutrino masses are within their currently allowed ranges.

© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.