The μ-τ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections

• Published in: The journal of high energy physics 2017-11, Vol.2017 (11), p.1-23, Article 135
• Main Authors: Xing, Zhi-zhong, Zhang, Di, Zhu, Jing-yu
• Format: Article
• Language: English
• Subjects: Beyond Standard Model; Broken symmetry; Classical and Quantum Gravitation; CP violation; Elementary Particles; Flavor (particle physics); High energy physics; Invariants; Leptons; Mass matrix; Mathematical models; Matrix methods; Neutrino Physics; Neutrinos; Parameterization; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Reflection; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supersymmetry; Symmetry
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2017)135

A bstract Given the Dirac neutrino mass term, we explore the constraint conditions which allow the corresponding mass matrix to be invariant under the μ - τ reflection transformation, leading us to the phenomenologically favored predictions θ 23 = π /4 and δ = 3 π /2 in the standard parametrization of the 3 × 3 lepton flavor mixing matrix. If such a flavor symmetry is realized at a superhigh energy scale Λ μτ , we investigate how it is spontaneously broken via the one-loop renormalization-group equations (RGEs) running from Λ μτ down to the Fermi scale Λ F . Such quantum corrections to the neutrino masses and flavor mixing parameters are derived, and an analytical link is established between the Jarlskog invariants of CP violation at Λ μτ and Λ F . Some numerical examples are also presented in both the minimal supersymmetric standard model and the type-II two-Higgs-doublet model, to illustrate how the octant of θ 23 , the quadrant of δ and the neutrino mass ordering are correlated with one another as a result of the RGE-induced μ-τ reflection symmetry breaking effects.