2025/02/18 by Tatsuo Kobayashi, Kobayashi, Tatsuo, Hiroshi Okada +3 · 7 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · pdf · doi:10.48550/arxiv.2502.12662
openalex publication_date 2025/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a Zee-Babu neutrino model in a non-holomorphic modular A4 symmetry, and we construct a model so that there are minimum free parameters (two complex parameters). We find only the normal hierarchy is allowed. Moreover, the allowed region to satisfy the neutrino oscillation data is localized at nearby τ=ω. The small absolute deviation plays a crucial role in fitting two mixings of s223 and s212. In addition, we obtain several predictions on Majorana and Dirac CP phases, and neutrinoless double beta decay as shown in our chi square numerical analysis. We also study modulus stabilization within the framework of non-supersymmetric models. In the end, we compute the expansion of modular forms at nearby τ=ω in the Appendix so that one can apply them for a model and understand its analytical structure.