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Related papers: Neutrino mass model with a modular $S_4$ symmetry

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We propose a lepton seesaw model to get the same mass-origin of charged-leptons and neutrinos introducing a modular $A_4$ symmetry. In this scenario, the mass matrix of charged-leptons is induced via seesaw-like mechanism while the mass…

High Energy Physics - Phenomenology · Physics 2026-04-02 Takaaki Nomura , Hiroshi Okada

We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group $\Gamma_4…

High Energy Physics - Phenomenology · Physics 2019-05-01 P. P. Novichkov , J. T. Penedo , S. T. Petcov , A. V. Titov

We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the tribimaximal mixing pattern of the neutrino mixing matrix. In this framework we study…

High Energy Physics - Phenomenology · Physics 2013-11-13 A. E. Cárcamo Hernández , Ivo de Medeiros Varzielas , S. G. Kovalenko , H. Päs , Iván Schmidt

We study a neutrino mass model based on $S_4$ flavor symmetry which accommodates lepton mass, mixing with non-zero $\theta_{13}$ and CP violation phase. The spontaneous symmetry breaking in the model is imposed to obtain the realistic…

High Energy Physics - Phenomenology · Physics 2016-04-20 V. V. Vien

We propose a model for lepton mass matrices based on the seesaw mechanism, a complex scalar gauge singlet and a horizontal symmetry $S_3 \times \mathbbm{Z}_2$. In a suitable weak basis, the charged-lepton mass matrix and the neutrino Dirac…

High Energy Physics - Phenomenology · Physics 2009-11-11 W. Grimus , L. Lavoura

We discuss a linear seesaw model with as minimum field content as possible, introducing a modular $S_4$ with the help of gauged $U(1)_{B-L}$ symmetries. Due to rank two neutrino mass matrix, we have a vanishing neutrino mass eigenvalue, and…

High Energy Physics - Phenomenology · Physics 2022-05-04 Takaaki Nomura , Hiroshi Okada

We propose a minimal inverse seesaw model with $S_4$ symmetry for the Majorana neutrinos with only one real ($m_0$)-and two complex ($\alpha, \beta$) parameters in neutrino sector which gives reasonable predictions for the neutrino…

High Energy Physics - Phenomenology · Physics 2025-11-25 V. V. Vien , Mayengbam Kishan Singh

We suggest a low-scale model based on $A_4\times Z_4 \times Z_2$ symmetry and a global lepton number $U(1)_L$ symmetry capable of generating the current neutrino data. The neutrino mass smallness is reproduced by the linear seesaw…

High Energy Physics - Phenomenology · Physics 2023-02-08 V. V. Vien , H. N. Long

We propose a new type of lepton seesaw model introducing a modular $A_4$ flavor symmetry in which isospin doublet vector fermions play an important role in constructing seesaw mechanisms for both the charged-lepton mass matrix and the…

High Energy Physics - Phenomenology · Physics 2025-10-01 Takaaki Nomura , Hiroshi Okada

We propose a unique lepton mixing scheme and its association with an exact hierarchy-philic neutrino mass matrix texture in the light of Type-I+Type-II seesaw mechanism under the framework of $A_4 \times Z_{10}$ discrete flavour symmetry.…

High Energy Physics - Phenomenology · Physics 2024-07-24 Manash Dey , Subhankar Roy

In this paper, we present a systematic investigation on simple inverse seesaw models for neutrino masses and flavor mixing based on the modular $S^{}_4$ symmetry. Two right-handed neutrinos and three extra fermion singlets are introduced to…

High Energy Physics - Phenomenology · Physics 2021-10-01 Xinyi Zhang , Shun Zhou

We propose a model with radiatively induced neutrino mass at two-loop level, applying modular $A_4$ symmetry. The neutrino mass matrix is formulated where the structure of associated couplings are restricted by the symmetry. Then we show…

High Energy Physics - Phenomenology · Physics 2021-03-09 Takaaki Nomura , Hiroshi Okada

We present a comprehensive analysis of neutrino mass and lepton mixing in theories with $A_4$ modular symmetry, where the only flavon field is the single modulus field $\tau$, and all masses and Yukawa couplings are modular forms. Similar…

High Energy Physics - Phenomenology · Physics 2019-10-02 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu

We propose a model based on modular $A_4$ symmetry containing a dark matter candidate, realizing radiatively induced neutrino mass at one-loop level. One finds that stability of dark matter candidate can be assured by nonzero value of…

High Energy Physics - Phenomenology · Physics 2019-08-07 Takaaki Nomura , Hiroshi Okada

We investigate a radiative seesaw model with two leptoquarks under non-holomorphic modular $A_4$ symmetry. The leptons and quarks belong to non-trivial representations of the modular $A_4$ and the structures of their mass matrices are…

High Energy Physics - Phenomenology · Physics 2025-05-14 Takaaki Nomura , Hiroshi Okada , Xing-Yu Wang

We propose a minimal extension of the Standard Model with right-handed neutrinos, governed by a non-holomorphic $A_{4}$ modular flavor symmetry. Within this model framework, the light neutrino masses are generated via the popular type-I…

High Energy Physics - Phenomenology · Physics 2026-02-13 Swaraj Kumar Nanda , Maibam Ricky Devi , Sudhanwa Patra

In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular $S^{}_4$ symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xin Wang

We study the phenomenological implications of the modular symmetry $\Gamma(3) \simeq A_4$ of lepton flavors facing recent experimental data of neutrino oscillations. The mass matrices of neutrinos and charged leptons are essentially given…

High Energy Physics - Phenomenology · Physics 2018-12-26 Tatsuo Kobayashi , Naoya Omoto , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi

The cubic symmetry S_4 contains A_4 and S_3, both of which have been used to study neutrino mass matrices. Using S_4 as the family symmetry of a complete supersymmetric theory of leptons, it is shown how the requirement of breaking S_4 at…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ernest Ma

We study the prediction for leptogenesis in two renormalizable supersymmetric $SO(10)\times A_4$ modular models in which the neutrino mass is dominantly generated by the type I seesaw mechanism. The evolution of the lepton asymmetries are…

High Energy Physics - Phenomenology · Physics 2022-10-26 Gui-Jun Ding , Stephen F. King , Jun-Nan Lu , Bu-Yao Qu
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