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Related papers: Modular Invariance Faces Precision Neutrino Data

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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

In the framework of non-holomorphic modular invariance approach, we have systematically constructed all minimal lepton models based on the non-holomorphic $A^{\prime}_{5}$ modular symmetry from a bottom-up approach. In these models, the…

High Energy Physics - Phenomenology · Physics 2025-09-19 Cai-Chang Li , Gui-Jun Ding

We explore alternative descriptions of the charged lepton sector in modular invariant models of lepton masses and mixing angles. In addition to the modulus, the symmetry breaking sector of our models includes ordinary flavons. Neutrino mass…

High Energy Physics - Phenomenology · Physics 2020-03-18 Juan Carlos Criado , Ferruccio Feruglio , Simon J. D. King

We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The…

High Energy Physics - Phenomenology · Physics 2023-02-08 Gui-Jun Ding , Xiang-Gan Liu , Chang-Yuan Yao

A non-supersymmetric inverse seesaw model of neutrino mass based on the $A^{\prime}_5$ modular symmetry is presented. This framework provides a combined explanation for neutrino masses, mixing, and the cosmic baryon asymmetry through…

High Energy Physics - Phenomenology · Physics 2026-03-20 Xianshuo Zhang , Yakefu Reyimuaji

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 explore a new class of supersymmetric models for lepton masses and mixing angles where the role of flavour symmetry is played by modular invariance. The building blocks are modular forms of level N and matter supermultiplets, both…

High Energy Physics - Phenomenology · Physics 2017-10-02 Ferruccio Feruglio

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 perform a comprehensive bottom-up study of all the simplest lepton models based on non-holomorphic $A_{5}$ modular flavor symmetry, in which neutrinos are assumed to be Majorana particles and their masses are generated by the Weinberg…

High Energy Physics - Phenomenology · Physics 2024-11-01 Cai-Chang Li , Jun-Nan Lu , Gui-Jun Ding

We analyze a general class of locally supersymmetric, CP and modular invariant models of lepton masses depending on two complex moduli taking values in the vicinity of a fixed point, where the theory enjoys a residual symmetry under a…

High Energy Physics - Phenomenology · Physics 2024-02-26 Gui-Jun Ding , Ferruccio Feruglio , Xiang-Gan Liu

In the framework of such basic principles as local gauge invariance, unification of the weak and electromagnetic interactions and spontaneous symmetry breaking in the Standard Model the most economical and simplest possibilities are…

High Energy Physics - Phenomenology · Physics 2019-07-10 S. Bilenky

We propose a predictive lepton model under a modular $S_4$ symmetry, where the neutrino mass matrix arises from a radiative seesaw at one-loop level. The tree-level mass matrix is forbidden by well-assigned modular weights, which also play…

High Energy Physics - Phenomenology · Physics 2021-12-15 Hiroshi Okada , Yuta Orikasa

By introducing three right-handed neutrino singlets, the popular canonical seesaw mechanism is able to simultaneously explain the tiny masses of Majorana neutrinos and the baryon asymmetry of the Universe. In this paper, we provide an…

High Energy Physics - Phenomenology · Physics 2025-06-11 Jihong Huang

Describing neutrino masses using the inverse seesaw mechanism with discrete flavor symmetry imposed through modular forms provides a testable framework at TeV scales with fewer parameters. However, $S_3$, the smallest modular group, remains…

High Energy Physics - Phenomenology · Physics 2025-05-01 Mitesh Kumar Behera , Pawin Ittisamai , Chakrit Pongkitivanichkul , Patipan Uttayarat

This research undertakes a comprehensive exploration of neutrino mass model grounded in $A_4$ discrete non-Abelian modular symmetry formulated within a linear seesaw framework that modifies the conventional type-I seesaw structure with a…

High Energy Physics - Phenomenology · Physics 2025-08-14 Muhammad Waheed Aslam , Abrar Ahmad Zafar , Muhammad Naeem Aslam

In this paper, we construct a model with the help of modular symmetry in the framework of minimal inverse seesaw [ISS(2,3)]. We have used $\Gamma(3)$ modular group which is isomorphic to non-Abelian discrete symmetry group $A_4$. In this…

High Energy Physics - Phenomenology · Physics 2023-05-03 Jotin Gogoi , Nayana Gautam , Mrinal Kumar Das

We present a comprehensive analysis of neutrino mass and lepton mixing in theories with $A_5$ modular symmetry. We construct the weight 2, weight 4 and weight 6 modular forms of level 5 in terms of Dedekind eta-functions and Klein forms,…

High Energy Physics - Phenomenology · Physics 2019-12-11 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu

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

New physics in the lepton sector may account for neutrino masses, affect electroweak precision observables, induce charged-lepton flavour violation, and shift dipole moments. The low-energy predictions of different models are most…

High Energy Physics - Phenomenology · Physics 2022-07-13 Rupert Coy , Michele Frigerio

We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group $\Gamma_4 \simeq S_4$ and focus on the minimal scenario where the expectation value of the modulus is the…

High Energy Physics - Phenomenology · Physics 2019-01-30 J. T. Penedo , S. T. Petcov
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