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Related papers: Modular $A_4$ invariance and neutrino mixing

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We propose a hybrid seesaw model based on $A_{4}$ flavor symmetry, which generates a large hierarchical flavor structure. In our model, tree-level and one-loop seesaw mechanisms predict different flavor structures in the neutrino mass…

High Energy Physics - Phenomenology · Physics 2021-03-10 Mayumi Aoki , Daiki Kaneko

We explore the implications of symmetries that remain unbroken at the self-dual point $\tau=i$ in modular invariant theories. Assuming that (a) the three generations of lepton doublets transform as an irreducible representation of a finite…

High Energy Physics - Phenomenology · Physics 2024-10-02 Monal Kashav , Ketan M. Patel

We discuss a linear seesaw model with local $U(1)_{B-L}$ and modular $A_4$ symmetries. The neutrino mass matrix for linear seesaw mechanism is realized by $U(1)_{B-L}$ charge assignment and the nature of modular $A_4$ symmetry. We formulate…

High Energy Physics - Phenomenology · Physics 2021-02-23 Takaaki Nomura , Hiroshi Okada

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 consider the $A_4$, $S_4$ and $A_5$ discrete lepton flavour symmetries in the case of 3-neutrino mixing, broken down to non-trivial residual symmetries in the charged lepton and neutrino sectors in such a way that at least one of them is…

High Energy Physics - Phenomenology · Physics 2018-07-04 S. T. Petcov , A. V. Titov

We present a see-saw $A_4$ model for Tri-Bimaximal mixing which is based on a very economical flavour symmetry and field content and still possesses all the good features of $A_4$ models. In particular the charged lepton mass hierarchies…

High Energy Physics - Phenomenology · Physics 2009-08-20 Guido Altarelli , Davide Meloni

We present a simple modification of the Altarelli-Feruglio $A_4$ flavor symmetry model using a minimal number of parameters congruous with the symmetries of the original theory. The resulting model is consistent with all presently known…

High Energy Physics - Phenomenology · Physics 2020-08-05 Minjie Lei , James D. Wells

We revisit the $A_4$ model for leptons in light of new result of NuFIT 3.2. We introduce a new flavon $\eta$ transforming as $A_4$ singlet $1'$ or $1"$ which couples to both charged leptons and neutrinos in next-leading order operators. The…

High Energy Physics - Phenomenology · Physics 2019-12-06 Sin Kyu Kang , Yusuke Shimizu , Kenta Takagi , Shunya Takahashi , Morimitsu Tanimoto

Recently, in ref. \cite{A4Datta} Datta et al. [arXiv:2106.06773] proposed an $A_4$ flavor symmetric model supplemented by $Z_2\times Z_3$ symmetry which can accommodate the appropriate lepton mixing and neutrino masses via Type-I seesaw…

High Energy Physics - Phenomenology · Physics 2022-05-02 V. V. Vien

This paper's novelty lies in introducing a hybrid scoto-seesaw model rooted in $A_4$ discrete modular symmetry leading to several interesting phenomenological implications. The scoto-seesaw framework leads to generation of one mass square…

High Energy Physics - Phenomenology · Physics 2024-04-25 Ranjeet Kumar , Priya Mishra , Mitesh Kumar Behera , Rukmani Mohanta , Rahul Srivastava

Here we propose an $A_4$ flavour symmetry model which implies a lower bound on the neutrinoless double beta decay rate, corresponding to an effective mass parameter $M_{ee} \gsim 0.03$ eV, and a direct correlation between the expected…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Hirsch , Anjan S. Joshipura , S. Kaneko , J. W. F. Valle

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 study a three-loop induced neutrino mass scenario from a non-holomorphic modular $A_4$ flavor symmetry and reach the minimum scenario leading predictions of the lepton masses, mixing angles, and Dirac and Majorana phases, which are shown…

High Energy Physics - Phenomenology · Physics 2025-12-04 Takaaki Nomura , Hiroshi Okada

We propose a predictive model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge group supplemented by the $A_{4}\otimes Z_{3}\otimes Z_{4}\otimes Z_{6}\otimes Z_{16}$ discrete group, which successfully describes the SM fermion…

High Energy Physics - Phenomenology · Physics 2016-05-03 A. E. Cárcamo Hernández , R. Martinez

We will investigate numerically a seesaw model with $A_4$ flavor symmetry to find allowed regions satisfying the current experimental neutrino oscillation data, then use them to predict physical consequences. Namely, the lightest active…

High Energy Physics - Phenomenology · Physics 2020-04-01 T. Phong Nguyen , L. T. Hue , D. T. Si , T. T. Thuc

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

We explore an $A_4$-symmetric flavor based left-right symmetric model with linear seesaw mechanism and study the associated neutrino phenomenology. The framework offers the advantage of studying neutrino mass, non-unitarity effects in…

High Energy Physics - Phenomenology · Physics 2020-02-18 Purushottam Sahu , Sudhanwa Patra , Prativa Pritimita

We use $S_4$ discrete group to construct a neutrino flavour model which leads to $TM_1$ mixing and is consistent with the neutrino oscillation data. Using the model's constrained parameter space, we predict the values of Dirac $CP$ phase…

High Energy Physics - Phenomenology · Physics 2020-09-08 Mainak Chakraborty , R. Krishnan , Ambar Ghosal

In this paper, we incorporate the modular $S^{}_4$ flavor symmetry into the supersymmetric version of the minimal type-I seesaw model, in which only two right-handed neutrino singlets are introduced to account for tiny Majorana neutrino…

High Energy Physics - Phenomenology · Physics 2020-10-21 Xin Wang , Shun Zhou
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