RGE-induced - symmetry breaking: an analysis of the latest T2K results

Guo-yuan Huang; Newton Nath

doi:10.1140/epjc/s10052-020-08501-x

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 914
https://doi.org/10.1140/epjc/s10052-020-08501-x

Regular Article - Theoretical Physics

RGE-induced $μ$ $\mu$ - $τ$ $\tau$ symmetry breaking: an analysis of the latest T2K results

Guo-yuan Huang¹^,2 and Newton Nath³^b

¹ Institute of High Energy Physics, Chinese Academy of Sciences, 100049, Beijing, China
² School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China
³ Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, 01000, Mexico City, Mexico

^b newton@fisica.unam.mx

Received: 30 April 2020
Accepted: 26 September 2020
Published online: 6 October 2020

Abstract

The T2K collaboration has recently reported their results, which gives the best-fit values of the atmospheric mixing angle ${sin}^{2} θ_{23} = 0.53$ $\sin ^2 \theta _{23} = 0.53$ and the Dirac CP-violating phase $δ = - 1.89$ $\delta = -1.89$ for normal neutrino mass ordering. We give a possible theoretical origin of such values based on the $μ$ $\mu$ - $τ$ $\tau$ reflection symmetry. It has been found that the breaking of such symmetry using one-loop renormalization-group equations (RGEs) in the framework of minimal supersymmetric standard model can fit well with the latest T2K results and the recent global fits. To make a quantitative analysis, we have included for the first time the complete dataset of oscillation, beta decay, neutrinoless double-beta decay and cosmological observations in comparing the theory to experiments. We also further examine the importance of such breaking patterns for neutrinoless double-beta decay experiments.

© The Author(s) 2020

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/.