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The measured values for the mixture angles in neutrino oscillations suggest the existence of a symmetry of interchange of flavor between muon and tau neutrinos. Using this symmetry we analyzed the minimal seesaw model for neutrino masses,…

High Energy Physics - Phenomenology · Physics 2008-01-22 Daniel Wegman Ostrosky

The mass matrices of the charged leptons and neutrinos, that had been derived in the framework of a Minimal S_3-invariant Extension of the Standard Model, are here reparametrized in terms of their eigenvalues. The neutrino mixing matrix,…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. Felix , A. Mondragon , M. Mondragon , E. Peinado

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

In the framework of the seesaw mechanism, and adopting a typical form for the Dirac neutrino mass matrix, we discuss the impact of minimal forms of the Majorana neutrino mass matrix. These matrices contain four or three texture zeros and…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Falcone

Recent SNO results strongly favour the large mixing angle (LMA) MSW solar solution. We argue that there are only two technically natural low energy neutrino mass matrix structures consistent with the LMA MSW solution, corresponding to…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. F. King

We study a Zee model applying a modular $A_4$ symmetry in supersymmetry framework, where we construct our lepton model as minimum modular weight as possible. We show our predictions on phases and neutrino masses through numerical analysis.…

High Energy Physics - Phenomenology · Physics 2025-02-04 Takaaki Nomura , Hiroshi Okada , Yong-hui Qi

We construct a neutrino model of three twin neutrinos in light of the neutrino appearance excesses at LSND and MiniBooNE. The model, which includes a twin parity, naturally predicts identical lepton Yukawa structures in the Standard Model…

High Energy Physics - Phenomenology · Physics 2016-04-13 Yang Bai , Ran Lu , Sida Lu , Jordi Salvado , Ben A. Stefanek

We give a pedagogical introduction to right-handed neutrinos as a simple extension to the Standard Model (SM), focussing on seesaw models and their possible experimental signatures. We preface this with a review of the lepton sector of the…

High Energy Physics - Phenomenology · Physics 2025-09-08 Stephen F King

We discuss two extensions of the Standard Model based on the seesaw mechanism and on non-abelian family symmetry groups O(2) and $D_4$, respectively. Both models have a twofold-degenerate neutrino Dirac mass matrix $M_D$, a Majorana mass…

High Energy Physics - Phenomenology · Physics 2016-12-07 W. Grimus , L. Lavoura

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

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

In the framework of a minimal extension of the SM, where the only additional fields are three right-handed neutrinos, we suggest that the charged lepton, the Dirac neutrino and the right-handed Majorana neutrino mass matrices are all, to…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Kh. Akhmedov , G. C. Branco , F. R. Joaquim , J. I. Silva-Marcos

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

We study the constraints imposed by neutrino oscillation experiments on the minimal extensions of the Standard Model (SM) with $n_R$ gauge singlet fermions ("right-handed neutrinos"), that can account for neutrino masses. We consider the…

High Energy Physics - Phenomenology · Physics 2012-09-18 A. Donini , P. Hernandez , J. Lopez-Pavon , M. Maltoni

We present a Dirac mass model based on $A_{4}$ modular symmetry within Type-I seesaw framework. This extension of Standard Model requires three right-handed neutrinos and three heavy Dirac fermions superfields, all singlet under $SU(2)_{L}$…

High Energy Physics - Phenomenology · Physics 2024-08-28 Labh Singh , Monal Kashav , Surender Verma

We propose and analyse a new class of Littlest Seesaw models, with two right-handed neutrinos in their diagonal mass basis, based on preserving the first column of the Golden Ratio mixing matrix. We perform an exhaustive analysis of all…

High Energy Physics - Phenomenology · Physics 2018-03-14 Gui-Jun Ding , Stephen F. King , Cai-Chang Li

I review promising approaches to neutrino mass models, focussing on three neutrino patterns of neutrino masses and mixing angles, and the corresponding Majorana mass matrices. I discuss the see-saw mechanism, and show how it may be applied…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. F. King

We show that the assumption of type II seesaw mechanism for small neutrino masses coupled with $b-\tau$ mass unification in a minimal SUSY SO(10) model leads not only to a natural understanding of large atmospheric mixing angle…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. S. Goh , R. N. Mohapatra , Siew-Phang Ng

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 renormalisation group analysis of the Littlest Seesaw model involving two right-handed neutrinos and a very constrained Dirac neutrino Yukawa coupling matrix. We perform the first $\chi^2$ analysis of the low…

High Energy Physics - Phenomenology · Physics 2018-04-11 Tanja Geib , Stephen F. King