A Predictive Non-Holomorphic Modular A₄ Linear Seesaw Framework Testable at DUNE

2026/02/28 by Rudra Majhi, Mitesh Kumar Behera, Rukmani Mohanta
#hep-ph

paper · pdf · doi:10.1007/jhep07(2026)229

Abstract

We study a realization of neutrino masses and mixing phenomena within a linear seesaw mechanism based on non-holomorphic modular A₄ symmetry, which extends modular-invariant flavor models beyond the conventional holomorphic framework. The model is constructed in a non-supersymmetric setting and involves six heavy SU(2)_L singlet fermions, N_Ri and S_Li, together with a single flavon field, thereby significantly reducing the field content compared to conventional A₄ flavor models that typically require multiple flavon fields as well as supersymmetric (holomorphic) modular frameworks involving additional superfields. The modular transformation properties of the Yukawa couplings under A₄ symmetry lead to a highly constrained neutrino mass matrix with a distinctive flavor structure. After presenting the general theoretical framework, we perform a systematic numerical analysis of neutrino phenomenology by restricting the modulus parameter τ to the fundamental domain and scanning the allowed parameter space. We identify regions consistent with current neutrino oscillation data at the 3σ level and obtain predictions for currently unknown observables, including the absolute neutrino mass scale and leptonic CP-violating phases. We further examine the implications for neutrinoless double beta decay, highlighting testable signatures in the upcoming precision oscillation as well as rare-process experiments. These results demonstrate the phenomenological viability and predictive power of non-holomorphic modular symmetry in linear seesaw neutrino mass models.

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Related

• Inverse Seesaw Model in Non-holomorphic Modular A₄ Flavor Symmetry
• Implications of A₄ modular symmetry on Neutrino mass, Mixing and Leptogenesis with Linear Seesaw
• Non-Holomorphic A₄ Modular Symmetry in Type-I Seesaw: Implications for Neutrino Masses and Leptogenesis
• Type-II seesaw of a non-holomorphic modular A₄ symmetry
• Neutrino Model in Left-Right Symmetric Linear Seesaw Augmented with A₄ Modular Group