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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 study a double covering of modular $A_4$ flavor symmetry in which we construct lepton models in cases of canonical seesaw and radiative seesaw models. Through $\chi$ square numerical analysis, we show some predictions for the cases,…

High Energy Physics - Phenomenology · Physics 2022-12-07 Hiroshi Okada , Yuta Orikasa

This paper investigates an inverse seesaw model of neutrino masses based on non-holomorphic modular $A_4$ symmetry, extending the framework of modular-invariant flavor models beyond the conventional holomorphic paradigm. After the general…

High Energy Physics - Phenomenology · Physics 2025-10-30 Xianshuo Zhang , Yakefu Reyimuaji

We study one-loop induced radiative seesaw model applying a modular $A_4$ flavor symmetry, in which the neutrino mass matrix is achieved by two different Yukawa couplings one of which also contributes to positive value of muon anomalous…

High Energy Physics - Phenomenology · Physics 2019-08-01 Hiroshi Okada , Yuta Orikasa

We discuss an inverse seesaw model based on right-handed fermion specific $U(1)$ gauge symmetry and $A_4$-modular symmetry. These symmetries forbid unnecessary terms and restrict structures of Yukawa interactions which are relevant to…

High Energy Physics - Phenomenology · Physics 2019-12-03 Takaaki Nomura , Hiroshi Okada , Sudhanwa Patra

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 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

We propose a radiatively induced linear seesaw model that is perfectly realized at leading order by a modular $A_4$ symmetry. Because this group also has a flavor symmetry, we obtain some predictions concentrating on two specific regions at…

High Energy Physics - Phenomenology · Physics 2024-10-30 Takaaki Nomura , Hiroshi Okada

The modular $A_4$ symmetry with three moduli is investigated. We assign different moduli to charged leptons, neutrinos, and quarks. We analyze these moduli at their fixed points where a residual symmetry exists. We consider two…

High Energy Physics - Phenomenology · Physics 2024-12-30 Mohammed Abbas , Shaaban Khalil

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…

High Energy Physics - Phenomenology · Physics 2026-02-27 Rudra Majhi , Mitesh Kumar Behera , Rukmani Mohanta

We introduce a lepton mass generation and flavor mixing model, realized through a (2,3) inverse seesaw structure based on modular \( S_4 \) symmetry. The model employs modular forms to construct the lepton Yukawa couplings, significantly…

High Energy Physics - Phenomenology · Physics 2025-09-23 Abhishek , V. Suryanarayana Mummidi

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 search for predictability of lepton masses and mixing patterns of type-II seesaw scenario in a non-holomorphic modular $A_4$ symmetry recently proposed by Qu and Ding. We propose three types of minimum predictive models with different…

High Energy Physics - Phenomenology · Physics 2025-03-13 Takaaki Nomura , Hiroshi Okada

We propose a radiative seesaw model based on a modular $A_4$ symmetry, which has good predictability in the lepton sector. We execute a numerical analysis to search for parameters that satisfy the experimental constraints such as those from…

High Energy Physics - Phenomenology · Physics 2020-12-02 Hiroshi Okada , Yutaro Shoji

In the formalism of the non-supersymmetric modular invariance approach to the flavour problem the elements of the Yukawa coupling and fermion mass matrices are expressed in terms of polyharmonic Maa{\ss} modular forms of level $N$ in…

High Energy Physics - Phenomenology · Physics 2024-08-29 Gui-Jun Ding , Jun-Nan Lu , S. T. Petcov , Bu-Yao Qu

Modular symmetry offers the possibility to provide an origin of discrete flavour symmetry and to break it along particular symmetry preserving directions without introducing flavons or driving fields. It is also possible to use a weighton…

High Energy Physics - Phenomenology · Physics 2021-10-04 Gui-Jun Ding , Stephen F. King , Chang-Yuan Yao

We consider a flavor model based on A4 modular group to account for both lepton and quark parameters (masses and mixing). The inverse seesaw mechanism is considered to produce the light neutrino masses. Lepton masses and mixing are obtained…

High Energy Physics - Phenomenology · Physics 2021-03-31 Mohamed Abbas

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 study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus.…

High Energy Physics - Phenomenology · Physics 2018-07-11 Tatsuo Kobayashi , Kentaro Tanaka , Takuya H. Tatsuishi

We study the modulus stabilization in an $A_4$ model whose $A_4$ flavor symmetry is originated from the $S_4$ modular symmetry. We can stabilize the modulus so that the $A_4$ invariant superpotential leads to the realistic lepton masses and…

High Energy Physics - Phenomenology · Physics 2020-02-17 Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi
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