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Related papers: Lepton masses and mixing in non-holomorphic modula…

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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 present a comprehensive bottom-up analysis of lepton mass and mixing based on the non-holomorphic $A_{4}$ modular symmetry. Neutrinos are assumed to be Majorana particles and the light neutrino masses are generated through the Weinberg…

High Energy Physics - Phenomenology · Physics 2025-12-09 Xiang-Yan Gao , Cai-Chang Li

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

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

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 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

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 show that holographic composite Higgs Models with a discrete A4 symmetry naturally predict hierarchical charged lepton masses and an approximate tri-bimaximal lepton mixing with the correct scale of neutrino masses. They also satisfy…

High Energy Physics - Phenomenology · Physics 2014-11-20 Francisco del Aguila , Adrian Carmona , Jose Santiago

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

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

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 consider a model with three right-handed neutrinos in which Yukawa coupling constants and Majorana masses are obtained by requiring the modular $A_4$ symmetry. It has been shown that the model can explain mass hierarchies and mixing…

High Energy Physics - Phenomenology · Physics 2021-06-01 Takehiko Asaka , Yongtae Heo , Takuya H. Tatsuishi , Takahiro Yoshida

We propose a lepton model under modular $A_4$ and gauged $U(1)_R$ symmetries, in which the neutrino masses are induced at one-loop level. Thanks to the modular $A_4$ symmetry, we have several predictions on the lepton sector, especially, on…

High Energy Physics - Phenomenology · Physics 2020-10-08 Keiko I. Nagao , Hiroshi Okada

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

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 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

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 the neutrino masses and mixing patten in a version of the $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ model with one extra exotic charged lepton per family as introduced by Ozer. It is shown that an extended scalar sector,…

High Energy Physics - Phenomenology · Physics 2008-11-26 William A. Ponce , Oscar Zapata

In the absence of supersymmetry, modular forms need not be holomorphic functions of the modulus $\tau$. Using this idea, we construct a non-supersymmetric framework using polyharmonic $Maa\beta$ forms. In this approach, the Yukawa coupling…

High Energy Physics - Phenomenology · Physics 2025-05-01 Bhabana Kumar , Mrinal Kumar Das

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
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