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We propose a $U(1)_L$ model with $A_4$ symmetry in light of the linear seesaw for majorana neutrino that capable of generating the current lepton and quark mass and mixing patterns. The smallness of Majorana neutrino mass is reproduced…

High Energy Physics - Phenomenology · Physics 2023-03-09 V. V. Vien

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

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 consider a model with three right-handed neutrinos in which Yukawa coupling constants and Majorana masses are obtained by requiring the modular $A_4$ symmetry. It has been shown that the model can explain mass hierarchies and mixing…

High Energy Physics - Phenomenology · Physics 2021-06-01 Takehiko Asaka , Yongtae Heo , Takuya H. Tatsuishi , Takahiro Yoshida

We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular $A_4$ symmetry with three right-handed neutrinos and a…

High Energy Physics - Phenomenology · Physics 2021-04-01 Takehiko Asaka , Yongtae Heo , Takahiro Yoshida

Modular symmetry offers the possibility to provide an origin of discrete flavour symmetry and to break it along particular symmetry preserving directions without introducing flavons or driving fields. It is also possible to use a weighton…

High Energy Physics - Phenomenology · Physics 2021-10-04 Gui-Jun Ding , Stephen F. King , Chang-Yuan Yao

We propose a radiative seesaw model based on a modular $A_4$ symmetry, which has good predictability in the lepton sector. We execute a numerical analysis to search for parameters that satisfy the experimental constraints such as those from…

High Energy Physics - Phenomenology · Physics 2020-12-02 Hiroshi Okada , Yutaro Shoji

We study the textures of SM fermion mass matrices and their mixings in a supersymmetric adjoint SU(5) Grand Unified Theory with modular $S_4$ being the horizontal symmetry. The Yukawa entries of both quarks and leptons are expressed by…

High Energy Physics - Phenomenology · Physics 2021-03-03 Ya Zhao , Hong-Hao Zhang

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 suggest a low-scale model based on $A_4\times Z_4 \times Z_2$ symmetry and a global lepton number $U(1)_L$ symmetry capable of generating the current neutrino data. The neutrino mass smallness is reproduced by the linear seesaw…

High Energy Physics - Phenomenology · Physics 2023-02-08 V. V. Vien , H. N. Long

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

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 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 discuss the $SU(5)$ grand unified extension of flavour models with multiple modular symmetries. The proposed model involves two modular $S_4$ groups, one acting in the charged fermion sector, associated with a modulus field value…

High Energy Physics - Phenomenology · Physics 2021-05-06 Stephen F. King , Ye-Ling Zhou

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 explore the neutrino sector of the minimal left-right symmetric model, with the additional charge conjugation discrete symmetry, in the tuned regime where type-I and type-II seesaw mechanisms are equally responsible for the light…

High Energy Physics - Phenomenology · Physics 2022-08-17 Gustavo F. S. Alves , Chee Sheng Fong , Luighi P. S. Leal , Renata Zukanovich Funchal

We consider a flavor model based on A4 modular group to account for both lepton and quark parameters (masses and mixing). The inverse seesaw mechanism is considered to produce the light neutrino masses. Lepton masses and mixing are obtained…

High Energy Physics - Phenomenology · Physics 2021-03-31 Mohamed Abbas

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

We propose a linear seesaw model to realise light Dirac neutrinos within the framework of $A_4$ discrete flavour symmetry. The additional fields and their transformations under the flavour symmetries are chosen in such a way that naturally…

High Energy Physics - Phenomenology · Physics 2018-12-12 Debasish Borah , Biswajit Karmakar

We present a supersymmetric see-saw $S_4$ model giving rise to the most general neutrino mass matrix compatible with Tri-Bimaximal mixing. We adopt the $S_4\times Z_5$ flavour symmetry, broken by suitable vacuum expectation values of a…

High Energy Physics - Phenomenology · Physics 2015-05-14 Davide Meloni