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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

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 paper, we have realized the left-right symmetric model with modular symmetry. We have used $\Gamma$(3) modular group which is isomorphic to non-abelian discrete symmetry group $A_4$. The advantage of using modular symmetry is the…

High Energy Physics - Phenomenology · Physics 2023-02-01 Ankita Kakoti , Bichitra Bijay Boruah , Mrinal Kumar Das

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

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

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 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

Implication of neutrino mass model based on $\Delta$(27) discrete flavor symmetry, on parameters of neutrino oscillations, CP violation and effective neutrino masses is studied using type-I seesaw mechanism. The Standard Model particle…

High Energy Physics - Phenomenology · Physics 2023-12-19 Ph. Wilina , N. Nimai Singh

We generalize the modular invariance approach to include the half-integral weight modular forms. Accordingly the modular group should be extended to its metaplectic covering group for consistency. We introduce the well-defined half-integral…

High Energy Physics - Phenomenology · Physics 2021-01-04 Xiang-Gan Liu , Chang-Yuan Yao , Bu-Yao Qu , Gui-Jun Ding

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

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

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

This is a review article about neutrino mass and mixing and flavour model building strategies based on modular symmetry. After an introduction to neutrino mass and lepton mixing, we then turn to the main subject of this review, namely a…

High Energy Physics - Phenomenology · Physics 2023-11-17 Gui-Jun Ding , Stephen F. King

Neutrino mass textures play a crucial role in the study of various neutrino mass models and the associated phenomenology. The present work focuses on neutrino phenomenology in the framework of left-right symmetric model (LRSM) augmented by…

High Energy Physics - Phenomenology · Physics 2025-05-01 Ankita Kakoti , Happy Borgohain , Mrinal Kumar Das

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

Modular symmetries offer a dynamic approach to understanding the flavour structure of leptonic mixing. Using the modular $\mathcal{A}_4$ flavour symmetry integrated in a type-II seesaw, we propose a simple and minimalistic model that…

High Energy Physics - Phenomenology · Physics 2024-02-22 Salvador Centelles Chuliá , Ranjeet Kumar , Oleg Popov , Rahul Srivastava

We study the survivability of neutrino mass models with normal as well as inverted hierarchical mass patterns in the presence of both type I and type II seesaw contributions to neutrino mass within the framework of generic left-right…

High Energy Physics - Phenomenology · Physics 2013-02-27 Debasish Borah , Mrinal Kumar Das

The formalism of non-holomorphic modular flavor symmetry is developed, and the Yukawa couplings are level $N$ polyharmonic Maa{\ss} forms satisfying the Laplacian condition. We find that the integer (even) weight polyharmonic Maa{\ss} forms…

High Energy Physics - Phenomenology · Physics 2024-07-22 Bu-Yao Qu , Gui-Jun Ding

Using the seesaw mechanism, we construct a model for the light-neutrino Majorana mass matrix which yields trimaximal lepton mixing together with maximal CP violation and maximal atmospheric-neutrino mixing. We demonstrate that, in our…

High Energy Physics - Phenomenology · Physics 2010-04-21 W. Grimus , L. Lavoura

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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