A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911471613509632 |
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| author | Majhi, Rudra Behera, Mitesh Kumar Mohanta, Rukmani |
| author_facet | Majhi, Rudra Behera, Mitesh Kumar Mohanta, Rukmani |
| contents | We study a realization of neutrino masses within the linear seesaw mechanism based on non-holomorphic modular $A_4$ symmetry, extending 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, $N_R$ and $S_L$, together with a single flavon field, thereby significantly reducing the field content. The modular transformation properties of the Yukawa couplings under $A_4$ 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 upcoming precision oscillation and rare-process experiments. These results demonstrate the phenomenological viability and predictive power of non-holomorphic modular symmetry in linear seesaw neutrino mass models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23018 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE Majhi, Rudra Behera, Mitesh Kumar Mohanta, Rukmani High Energy Physics - Phenomenology We study a realization of neutrino masses within the linear seesaw mechanism based on non-holomorphic modular $A_4$ symmetry, extending 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, $N_R$ and $S_L$, together with a single flavon field, thereby significantly reducing the field content. The modular transformation properties of the Yukawa couplings under $A_4$ 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 upcoming precision oscillation and rare-process experiments. These results demonstrate the phenomenological viability and predictive power of non-holomorphic modular symmetry in linear seesaw neutrino mass models. |
| title | A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.23018 |