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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

In this study, we explore the application of the $\Gamma_{3}$ modular group, which is isomorphic to the $A_{4}$ symmetric group in developing a model for neutrino mass. We realized a non-supersymmetric left-right asymmetric model…

High Energy Physics - Phenomenology · Physics 2025-07-23 Bhabana Kumar , Mrinal Kumar Das

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 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 model constructed within a non-supersymmetric framework capable of explaining both current neutrino oscillation data and the observed dark matter relic abundance. In this study, the Yukawa couplings are expressed as…

High Energy Physics - Phenomenology · Physics 2025-09-03 Bhabana Kumar , Mrinal Kumar Das

In this work, we have implemented $A_4$ modular symmetry in the left-right symmetric linear seesaw model. Interestingly, such modular symmetry restricts the proliferation of flavon fields, and as a result, the predictibility of the model is…

High Energy Physics - Phenomenology · Physics 2024-09-19 Raktima Kalita , Mahadev Patgiri

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 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 present the first complete model of the Littlest Modular Seesaw, based on two right-handed neutrinos, within the framework of multiple modular symmetries, justifying the use of multiple moduli fields which take their values at 3 specific…

High Energy Physics - Phenomenology · Physics 2023-03-01 Ivo de Medeiros Varzielas , Steve F. King , Miguel Levy

We make an investigation of modular $\Gamma^{\prime}_5 \simeq A^{\prime}_5$ group in inverse seesaw framework. Modular symmetry is advantageous because it reduces the usage of extra scalar fields significantly. Moreover, the Yukawa…

High Energy Physics - Phenomenology · Physics 2022-03-09 Mitesh Kumar Behera , Rukmani Mohanta

We propose a non-holomorphic modular $A_4$ model under the assumption of universal couplings. In this framework, a charged lepton mass hierarchy is not created through parameter fine tuning or hierarchical Yukawa couplings, but instead is…

High Energy Physics - Phenomenology · Physics 2026-04-20 Mohammed Abbas

The present work is inspired by the application of $A_4$ modular symmetry in the linear seesaw framework, which restricts the use of multiple flavon fields. Linear seesaw is realized with six heavy $SU(2)_L$ singlet fermion superfields and…

High Energy Physics - Phenomenology · Physics 2022-04-26 Mitesh Kumar Behera , Subhasmita Mishra , Shivaramakrishna Singirala , Rukmani Mohanta

An extension of the Standard Model with $\Gamma_2\simeq S_3$ modular flavor symmetry is presented. We consider the construction of the lepton sector, augmented by two right-handed neutrino states, in the vicinity of the fixed points $\tau =…

High Energy Physics - Phenomenology · Physics 2026-05-21 Zurab Tavartkiladze

We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering $A_4$ modular symmetry in the super-symmetric context. In addition, we have included a local $U(1)_{B-L}$ symmetry which eventually helps…

High Energy Physics - Phenomenology · Physics 2022-12-28 Priya Mishra , Mitesh Kumar Behera , Papia Panda , Rukmani Mohanta

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 recently proposed framework of non-holomorphic modular symmetry introduces the concept of negative and zero modular weight of Yukawa couplings. These Yukawa couplings are function of complex modulus $\tau$, which is responsible for the…

High Energy Physics - Phenomenology · Physics 2026-04-07 Priya , B. C. Chauhan , Deepak Kumar , Takaaki Nomura

We use modular symmetry as an organizing principle that attempts to simultaneously address the lepton flavor puzzle, inflation, and post-inflationary reheating. We demonstrate this approach using the finite modular group $A_4$ in the lepton…

High Energy Physics - Phenomenology · Physics 2025-11-05 Gui-Jun Ding , Si-Yi Jiang , Yong Xu , Wenbin Zhao

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 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 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
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