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We propose a minimal inverse seesaw framework based on $A_4$ modular symmetry. We have studied the neutrino oscillation parameters in our work and our model excludes some $3 \sigma$ values of the mixing angle $\theta_{23}$. Also, there is a…

High Energy Physics - Phenomenology · Physics 2025-05-07 Gourab Pathak , Mrinal Kumar Das

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 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 study the lepton sector in the model based on the local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ which do not contain particles with exotic electric charges. The seesaw mechanism and discrete $A_4$ symmetry are introduced into…

High Energy Physics - Phenomenology · Physics 2008-11-26 Furong Yin

We present an S$_4$ flavour symmetric model within a minimal seesaw framework resulting in mass matrices that leads to TM$_1$ mixing. Minimal seesaw is realized by adding two right-handed neutrinos to the Standard Model. The model predicts…

High Energy Physics - Phenomenology · Physics 2021-12-22 Bikash Thapa , Ng. K. Francis

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

Addressing the fermion flavor structures using modular invariance is a challenging task in the framework of quark-lepton unification. Building on recent applications of modular symmetry in non-supersymmetric models, we propose the first…

High Energy Physics - Phenomenology · Physics 2025-08-05 Mohamed Amin Loualidi , Mohamed Miskaoui , Salah Nasri

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 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 flavor structure of quarks and leptons and quark-lepton unification are studied in the framework of Pati-Salam models with $A_4$ modular symmetry. The three generations of the left-handed and right-handed fermions are assigned to be…

High Energy Physics - Phenomenology · Physics 2024-04-11 Gui-Jun Ding , Si-Yi Jiang , Stephen F. King , Jun-Nan Lu , Bu-Yao Qu

A nonuniversal abelian extension $\mathrm{U(1)}_{X}$ free from chiral anomalies is introduced into the Standard Model (SM), in order to evaluate its suitability in addressing the fermion mass hierarchy (FMH) by using seesaw mechanisms…

High Energy Physics - Phenomenology · Physics 2018-08-08 Carlos E. Díaz , S. F Mantilla , R. Martinez

We construct a flavor symmetry model based on the tetrahedral group A_4 in which the right-handed neutrinos from the seesaw mechanism can be both keV warm dark matter particles and eV-scale sterile neutrinos. This is achieved by giving the…

High Energy Physics - Phenomenology · Physics 2012-02-01 James Barry , Werner Rodejohann , He Zhang

We present a unified framework for neutrino masses, baryogenesis, and dark matter based on a modular $S_4$ symmetry combined with a type-III seesaw mechanism. All Yukawa couplings, CP phases, and flavor textures originate from a single…

High Energy Physics - Phenomenology · Physics 2026-02-04 Abhishek , V. Suryanarayana Mummidi

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 construct a neutrino mass model based on the flavour symmetry group $A_4\times C_4 \times C_6 \times C_2$ which accommodates a light sterile neutrino in the minimal extended seesaw (MES) scheme. Besides the flavour symmetry, we introduce…

High Energy Physics - Phenomenology · Physics 2020-11-04 R. Krishnan , Ananya Mukherjee , Srubabati Goswami

We study a successful model to explain the muon anomalous magnetic moment originating from Yukawa-type interactions {in a supersymmetric theory}. Thanks to a modular $A_4$ flavor symmetry, any lepton flavor violations that spoil the model…

High Energy Physics - Phenomenology · Physics 2024-02-21 Parada T. P. Hutauruk , Dong Woo Kang , Jongkuk Kim , Hiroshi Okada

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 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 combine $SO(10)$ Grand Unified Theories (GUTs) with $A_4$ modular symmetry and present a comprehensive analysis of the resulting quark and lepton mass matrices for all the simplest cases. We focus on the case where the three fermion…

High Energy Physics - Phenomenology · Physics 2021-11-24 Gui-Jun Ding , Stephen F. King , Jun-Nan Lu

This work explores the neutrino phenomenology of the scotoseesaw model under non-holomorphic $A_4$ modular flavor symmetry providing a non-SUSY framework for realization of the modular symmetry. To prevent mixing between the beyond standard…

High Energy Physics - Phenomenology · Physics 2026-01-13 Salah Nasri , Labh Singh , Tapender , Surender Verma