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Related papers: Deviations from tribimaximal mixing due to the vac…

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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

We present a model of neutrino mixing based on the flavour group $\Delta(27)$ in order to account for the observation of a non-zero reactor mixing angle ($\theta_{13}$). The model provides a common flavour structure for the charged-lepton…

High Energy Physics - Phenomenology · Physics 2014-06-10 P. F. Harrison , R. Krishnan , W. G. Scott

The discrete non-Abelian symmetry $A_4$, valid at some high-energy scale, naturally leads to degenerate neutrino masses, without spoiling the hierarchy of charged-lepton masses. Realistic neutrino mass splittings and mixing angles (one of…

High Energy Physics - Phenomenology · Physics 2009-09-17 K. S. Babu , Ernest Ma , J. W. F. Valle

We derive formulae for neutrino masses and mixing angles in a type I seesaw framework with an underlying A4 flavor symmetry. In particular, the Majorana neutrino mass matrix includes contributions from an A4 triplet, 1, 1', and 1" flavon…

High Energy Physics - Phenomenology · Physics 2013-02-22 Mu-Chun Chen , Jinrui Huang , Jon-Michael O'Bryan , Alexander M. Wijangco , Felix Yu

Tri-bimaximal neutrino mixing may arise from see-saw models based on family symmetry which is spontaneously broken by flavons with particular vacuum alignments. However recent analyses hint that tri-bimaximal mixing may be insensitive to…

High Energy Physics - Phenomenology · Physics 2011-03-04 Stephen F. King

The standard model of leptons is extended to accommodate a discrete Z_3 X Z_2 family symmetry. After rotating the charged-lepton mass matrix to its diagonal form, the neutrino mass matrix reveals itself as very suitable for explaining…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ernest Ma

It is a common believe that, if the Tri-bimaximal mixing (TBM) pattern is explained by vacuum alignment in an A(4) model, only a very small reactor angle, say \theta_{13} \sim \lambda^2_C being \lambda_C \equiv \theta_C the Cabibbo angle,…

High Energy Physics - Phenomenology · Physics 2010-05-28 Yin Lin

When the Higgs doublets in the 3HDM transform as a flavor triplet of the $A_4$ group, the lepton mass matrices accommodate the experimental neutrino mixing angles at arbitrary precision while maintaining the correct mass ordering of the…

High Energy Physics - Phenomenology · Physics 2025-12-12 Bartosz Dziewit , Marek Zrałek , Joris Vergeest

It is pointed out that if a neutrino mass matrix for right-handed neutrinos in seesaw mechanism has mu -tau symmetry and total lepton number L_{e}+L_{\mu }+L_{\tau} remains constant (not zero), exact tribimaximal neutrino mixing in this…

High Energy Physics - Phenomenology · Physics 2008-09-23 Riazuddin

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

An extension of the two Higgs doublet model including inverse seesaw neutrinos and neutral Higgs bosons was constructed based on the $A_4$ symmetry in order to explain the recent neutrino oscillation data. This model can distinguish two…

High Energy Physics - Phenomenology · Physics 2022-02-18 T. Phong Nguyen , T. T. Thuc , D. T. Si , T. T. Hong , L. T. Hue

There is a direct group-theoretical connection between neutrino mixing and horizontal symmetry that can be established without any dynamical input. Such a connection is reviewed and expanded in this article. For certain symmetry groups $\G$…

High Energy Physics - Phenomenology · Physics 2011-06-20 C. S. Lam

We model tri-bimaximal lepton mixing from first principles in a way that avoids the problem of the vacuum alignment characteristic of such models. This is achieved by using a softly broken A4 symmetry realized with an isotriplet fermion,…

High Energy Physics - Phenomenology · Physics 2010-04-15 M. Hirsch , S. Morisi , J. W. F. Valle

Motivated by the significance of modular symmetry in generating neutrino masses and flavor mixings, we apply the modular $A_4$ symmetry in a 3+1 scheme of active-sterile neutrino mixings. Neutrino oscillation observables in the 3$\sigma$…

High Energy Physics - Phenomenology · Physics 2024-10-23 Mayengbam Kishan Singh , S. Robertson Singh , N. Nimai Singh

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 discuss type-II seesaw models adopting modular $A_4$ symmetry in supersymmetric framework. In our approach, the models are classified by the assignment of $A_4$ representations and modular weights for leptons and triplet Higgs fields.…

High Energy Physics - Phenomenology · Physics 2020-08-26 Tatsuo Kobayashi , Takaaki Nomura , Takashi Shimomura

We propose a predictive lepton model under a modular $S_4$ symmetry, where the neutrino mass matrix arises from a radiative seesaw at one-loop level. The tree-level mass matrix is forbidden by well-assigned modular weights, which also play…

High Energy Physics - Phenomenology · Physics 2021-12-15 Hiroshi Okada , Yuta Orikasa

In this work, we have implemented $A_4$ modular symmetry in the left-right symmetric linear seesaw model. Interestingly, such modular symmetry restricts the proliferation of flavon fields, and as a result, the predictibility of the model is…

High Energy Physics - Phenomenology · Physics 2024-09-19 Raktima Kalita , Mahadev Patgiri

We investigate the viability of thermal leptogenesis in type-I seesaw models with leptonic flavour symmetries that lead to tribimaximal neutrino mixing. We consider an effective theory with an A4 x Z3 x Z4 symmetry, which is spontaneously…

High Energy Physics - Phenomenology · Physics 2009-07-30 G. C. Branco , R. Gonzalez Felipe , M. N. Rebelo , H. Serodio

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