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Related papers: Zee-Babu model in modular $A_4$ symmetry

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We discuss a linear seesaw model with as minimum field content as possible, introducing a modular $S_4$ with the help of gauged $U(1)_{B-L}$ symmetries. Due to rank two neutrino mass matrix, we have a vanishing neutrino mass eigenvalue, and…

High Energy Physics - Phenomenology · Physics 2022-05-04 Takaaki Nomura , Hiroshi Okada

We study flavor phenomenologies in a basis of a double covering of modular $A_4$ group with a hidden $SU(2)$ symmetry, in which we work on regions at nearby two fixed points and three special points. These special points of…

High Energy Physics - Phenomenology · Physics 2023-10-27 Keiya Ishiguro , Takaaki Nomura , Hiroshi Okada , Yuta Orikasa , Hajime Otsuka

In the modular symmetry approach to neutrino models, the flavour symmetry emerges as a finite subgroup $\Gamma_N$ of the modular symmetry, broken by the vacuum expectation value (VEV) of a modulus field $\tau$. If the VEV of the modulus…

High Energy Physics - Phenomenology · Physics 2026-01-13 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu , Jun-Nan Lu

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 study one-loop induced radiative seesaw model applying a modular $A_4$ flavor symmetry, in which the neutrino mass matrix is achieved by two different Yukawa couplings one of which also contributes to positive value of muon anomalous…

High Energy Physics - Phenomenology · Physics 2019-08-01 Hiroshi Okada , Yuta Orikasa

We search for predictability of lepton masses and mixing patterns of type-II seesaw scenario in a non-holomorphic modular $A_4$ symmetry recently proposed by Qu and Ding. We propose three types of minimum predictive models with different…

High Energy Physics - Phenomenology · Physics 2025-03-13 Takaaki Nomura , Hiroshi Okada

We propose a lepton seesaw model to get the same mass-origin of charged-leptons and neutrinos introducing a modular $A_4$ symmetry. In this scenario, the mass matrix of charged-leptons is induced via seesaw-like mechanism while the mass…

High Energy Physics - Phenomenology · Physics 2026-04-02 Takaaki Nomura , Hiroshi Okada

We propose a unique lepton mixing scheme and its association with an exact hierarchy-philic neutrino mass matrix texture in the light of Type-I+Type-II seesaw mechanism under the framework of $A_4 \times Z_{10}$ discrete flavour symmetry.…

High Energy Physics - Phenomenology · Physics 2024-07-24 Manash Dey , Subhankar Roy

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 propose a flavour model based on an $A_4$ symmetry combined with a type-II seesaw mechanism for neutrino mass generation. The resulting neutrino mass matrix obeys a sum rule that, together with the measured mass-squared differences,…

High Energy Physics - Phenomenology · Physics 2026-03-16 Salvador Centelles Chuliá , Ranjeet Kumar

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 discuss how the Zee-Babu model can be tested combining information from neutrino data, low-energy experiments and direct searches at the LHC. We update previous analysis in the light of the recent measurement of the neutrino mixing angle…

High Energy Physics - Phenomenology · Physics 2014-10-10 Juan Herrero-Garcia , Miguel Nebot , Nuria Rius , Arcadi Santamaria

We propose a radiatively induced linear seesaw model that is perfectly realized at leading order by a modular $A_4$ symmetry. Because this group also has a flavor symmetry, we obtain some predictions concentrating on two specific regions at…

High Energy Physics - Phenomenology · Physics 2024-10-30 Takaaki Nomura , Hiroshi Okada

We study quark and lepton mass matrices in the $A_4$ modular symmetry towards the unification of the quark and lepton flavors. We adopt modular forms of weights $2$ and $6$ for quarks and charged leptons, while we use modular forms of…

High Energy Physics - Phenomenology · Physics 2021-07-27 Hiroshi Okada , Morimitsu Tanimoto

We propose an $A_4$ extension of the Standard Model with a Lepton Quarticity symmetry correlating dark matter stability with the Dirac nature of neutrinos. The flavor symmetry predicts (i) a generalized bottom-tau mass relation involving…

High Energy Physics - Phenomenology · Physics 2017-09-13 Salvador Centelles Chuliá , Rahul Srivastava , José W. F. Valle

We study the neutrinoless double beta decay in the colored Zee-Babu model. We consider three cases of the colored Zee-Babu model with a leptoquark and a diquark introduced. The neutrino masses are generated at two-loop level, and the…

High Energy Physics - Phenomenology · Physics 2022-12-28 Shao-Long Chen , Yu-Qi Xiao

We propose an $A_4$ modular invariant flavor model of leptons, in which both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus $\tau$. The value of the modulus $\tau$ is restricted by the…

High Energy Physics - Phenomenology · Physics 2021-08-18 Hiroshi Okada , Yusuke Shimizu , Morimitsu Tanimoto , Takahiro Yoshida

We present a simple and predictive model of radiative neutrino masses. It is a special case of the Zee model which introduces two Higgs doublets and a charged singlet. We impose a family-dependent Z_4 symmetry acting on the leptons, which…

High Energy Physics - Phenomenology · Physics 2015-06-17 K. S. Babu , J. Julio

We study the modular symmetry in magnetized D-brane models on $T^2$. Non-Abelian flavor symmetry $D_4$ in the model with magnetic flux $M=2$ (in a certain unit) is a subgroup of the modular symmetry. We also study the modular symmetry in…

High Energy Physics - Theory · Physics 2018-06-13 Tatsuo Kobayashi , Satoshi Nagamoto , Shintaro Takada , Shio Tamba , Takuya H. Tatsuishi

The original Zee model can easily accommodate a bi-maximal mixing solution for the atmospheric and solar neutrino problems. From the most recent fit to the data we obtain a set of parameters for the Zee model. However, the recent claim on a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ming-Yang Cheng , Kingman Cheung