2012/07/31 by Zhen-hua Zhao · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.86.096010
published as Phys. Rev. D 86, 096010 (2012) · version to appear in Phys. Rev. D
arxiv created 2012/11/11 · openalex publication_date 2012/11/27 · arxiv updated 2012/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give a model for understanding flavor physics in the lepton sector mass hierarchy among different generations and neutrino mixing patterns. The model is constructed in the framework of supersymmetry, with a family symmetry S4*U(1). There are two right-handed neutrinos introduced for a seesaw mechanism, while some standard model gauge group singlet fields are included, which transforms nontrivially under family symmetry. In the model, each order of contributions are suppressed by \ensuremathδ\ensuremath∼0.1 compared to the previous one. In order to reproduce the mass hierarchy, m_\ensuremathτ and √\ensuremathΔmatm2, and m_\ensuremathμ and √\ensuremathΔmsol2 are obtained at leading order and next-to-leading order, respectively, while the electron can only get its mass through next-to-next-to-next-to-leading order contributions. For neutrino mixing angels, \ensuremathθ12, \ensuremathθ23, \ensuremathθ13 are 45\ifmmode^∘\else\textdegree\fi, 45\ifmmode^∘\else\textdegree\fi, 0, i.e., the bimaximal mixing pattern as a first approximation, while higher order contributions can make them consistent with experimental results. As corrections for \ensuremathθ12 and \ensuremathθ13 originate from the same contribution, there is a relation predicted for them: sin\ensuremathθ13=\frac1\ensuremath-tan\ensuremathθ121+tan\ensuremathθ12. Besides, the deviation from \frac\ensuremathπ4 for \ensuremathθ23 should have been as large as the deviation from 0 for \ensuremathθ13; if not, the former is suppressed by a factor of 4 compared to the latter.