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Related papers: Modular flavor models with positive modular weight…

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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 propose two different seesaw models namely, type I and inverse seesaw to realise light Dirac neutrinos within the framework of $A_4$ discrete flavour symmetry. The additional fields and their transformations under the flavour symmetries…

High Energy Physics - Phenomenology · Physics 2018-03-28 Debasish Borah , Biswajit Karmakar

We propose to generate the flavor structures of the Standard Model plus neutrinos from flipped SU(5) GUT with $A_4$ modular flavor symmetry. Possible way to assign different moduli values for quarks and leptons in modular GUT scheme is…

High Energy Physics - Phenomenology · Physics 2023-01-18 Xiao Kang Du , Fei Wang

We investigate a gauge theory realization of non-Abelian discrete flavor symmetries and apply the gauge enhancement mechanism in heterotic orbifold models to field-theoretical model building. Several phenomenologically interesting…

High Energy Physics - Phenomenology · Physics 2015-02-04 Florian Beye , Tatsuo Kobayashi , Shogo Kuwakino

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 $SU(4)_C \times SU(2)_L \times U(1)_R$ models with modular $A_4$ symmetry that provide unified description of the quark and lepton sector including the flavor structures. The models are distinguished by the assignments of the…

High Energy Physics - Phenomenology · Physics 2023-01-18 Takaaki Nomura , Hiroshi Okada , Yutaro Shoji

We propose a one-loop induced radiative seesaw model applying a modular $S_3$ flavor symmetry, which is known as the minimal non-Abelian discrete group. In this scenario, dark matter (DM) candidate is correlated with neutrinos and lepton…

High Energy Physics - Phenomenology · Physics 2020-01-01 Hiroshi Okada , Yuta Orikasa

We argue that the A_4 symmetry as required by three flavors of fermions may well-embed in the SU(3)_C X SU(3)_L X U(1)_X gauge model. The new neutral fermion singlets as introduced in a canonical seesaw mechanism can be combined with the…

High Energy Physics - Phenomenology · Physics 2015-03-13 P. V. Dong , L. T. Hue , H. N. Long , D. V. Soa

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

Models with modular flavor symmetries have been thought to be highly predictive. We point out that these predictions are subject to corrections from non-holomorphic terms in the Lagrangean. Specifically, in the models discussed in the…

High Energy Physics - Phenomenology · Physics 2019-12-18 Mu-Chun Chen , Saul Ramos-Sanchez , Michael Ratz

We study a Zee model in a non-holomorphic modular $A_4$ flavor symmetry in which we find good predictions in both the cases of normal and inverted hierarchy. Parameter reduction on neutrino sector occurs due to large mass hierarchies…

High Energy Physics - Phenomenology · Physics 2025-06-03 Takaaki Nomura , Hiroshi Okada

We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group $\Gamma_4 \simeq S_4$ and focus on the minimal scenario where the expectation value of the modulus is the…

High Energy Physics - Phenomenology · Physics 2019-01-30 J. T. Penedo , S. T. Petcov

We examine the parameter space region of the inverse seesaw model that is consistent with neutrino oscillation data. We focus on the correlation between the current limits from the search of the $\mu\to e\gamma$ lepton flavor violating…

High Energy Physics - Phenomenology · Physics 2023-08-28 J. C. Garnica , G. Hernández-Tomé , E. Peinado

Non-Abelian discrete symmetries provide an interesting opportunity to address the flavor puzzle in the lepton sector. However, the number of currently viable models based on such symmetries is rather large. High-precision measurements of…

High Energy Physics - Phenomenology · Physics 2020-12-08 Mattias Blennow , Monojit Ghosh , Tommy Ohlsson , Arsenii Titov

New heavy neutral leptons lead to non-unitary effects in models for neutrino masses. Such effects could represent a sign of new physics beyond the Standard Model, leading to observable deviations in neutrino oscillation experiments, lepton…

High Energy Physics - Phenomenology · Physics 2024-08-26 Jesús Miguel Celestino-Ramírez , G. Hernández-Tomé , O. G. Miranda , Eduardo Peinado

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 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

We posit an elegant modular $A_4$ framework for Dirac neutrinos that does not rely on the seesaw mechanism in a non SUSY setting. Our construction ensures purely Dirac neutrinos with a minimal scalar sector, naturally generating neutrino…

High Energy Physics - Phenomenology · Physics 2026-05-06 Manash Dey

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 extend the framework of non-holomorphic modular flavor symmetry to include the odd weight polyharmonic Maa{\ss} forms. The integer weight polyharmonic Maa{\ss} forms of level $N$ can be arranged into multipltets of the homogeneous finite…

High Energy Physics - Phenomenology · Physics 2025-12-29 Bu-Yao Qu , Jun-Nan Lu , Gui-Jun Ding