Neutrino mass model with a modular S₄ symmetry

2019/08/21 by Okada, Hiroshi, Orikasa, Yuta · 2 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1908.08409

Abstract

We propose a predictive lepton model under a modular S₄ symmetry, where the neutrino mass matrix arises from a radiative seesaw at one-loop level. The tree-level mass matrix is forbidden by well-assigned modular weights, which also play an important role in stabilizing dark matter candidate due to a remnant Z₂ symmetry even after breaking the modular symmetry. Supposing three families of the Majorana neutrinos, right-handed charged-leptons and left-handed charged-leptons to be embedded respectively into singlet, doublet, and triplet under S₄, we obtain the predictive mass matrices in the normal hierarchy. Then, we show our numerical results such as phases, mixings, and neutrino masses, applying χ² analysis. We also demonstrate two sample points, imposing on minimizing χ² and best fit value of δ_CP^ℓ of 195^∘.

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• Neutrino Textures from Modular A₄ Left--Right Symmetry: Experimental Signatures at DUNE and T2HK in the Post-JUNO Era
• Neutrino Mass Predictions with an AI-based Algorithm under A₄ Modular Symmetry

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