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Related papers: Simplified Unitarity Triangles for the Lepton Sect…

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An extension of the Standard Model with $\Gamma_2\simeq S_3$ modular flavor symmetry is presented. We consider the construction of the lepton sector, augmented by two right-handed neutrino states, in the vicinity of the fixed points $\tau =…

High Energy Physics - Phenomenology · Physics 2026-05-21 Zurab Tavartkiladze

The near maximal value for the atmospheric neutrino mixing angle together with the fact that the solar mixing angle satisfies the relation $\sin^2\theta_\odot\simeq {1/3}$ is the basis for the so called tri-bimaximal mixing (tbm) when…

High Energy Physics - Phenomenology · Physics 2010-04-06 R. N. Mohapatra , S. Nasri , Hai-Bo Yu

In the three-Higgs doublet model (3HDM) frame, we search for discrete flavour symmetries that give relations among the lepton masses and their mixing angles. We explore discreet non-Abelian groups of order less than 1035, treating neutrinos…

High Energy Physics - Phenomenology · Physics 2023-09-18 Joris Vergeest , Marek Zrałek , Bartosz Dziewit , Piotr Chaber

We construct a model for tri-bimaximal lepton mixing which employs only family symmetries and their soft breaking; neither vacuum alignment nor supersymmetry, extra dimensions, or non-renormalizable terms are used in our model. It is an…

High Energy Physics - Phenomenology · Physics 2009-04-17 W. Grimus , L. Lavoura

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

The renormalization effect on a specific ansatz of lepton mass matrices, arising naturally from the breaking of flavor democracy for charged leptons and that of mass degeneracy for light neutrinos, is studied from a superhigh energy scale…

High Energy Physics - Phenomenology · Physics 2009-10-31 Zhi-zhong Xing

We perform a systematic analysis of the PMNS matrices which arise when one assigns the three generations of leptons to the $2\oplus 1$ representation of a horizontal $SU_H(2)$ symmetry. This idea has been previously explored by Kuchimanchi…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. L. McDonald , B. H. J. McKellar

The large mixing in the lepton sector observed in the recent neutrino-oscillation experiments strongly suggest that nature of left-handed lepton doublets is very different from that of left-handed quark doublets. This means that there is a…

High Energy Physics - Phenomenology · Physics 2010-11-19 T. Watari , T. Yanagida

We use hyperbolic functions to parametrize lepton mixing matrix using only one input parameter $\phi$. This matrix has three mixing angles as outputs therefore giving two predictions. In particular it predicts $U_{e3}=0$ besides predicting…

High Energy Physics - Phenomenology · Physics 2010-11-11 Biswajoy Brahmachari

We apply the discrete S_3 flavor symmetry to both lepton and quark sectors of the standard model extended by introducing one Higgs triplet and realizing the type-II seesaw mechanism for finite neutrino masses. The resultant mass matrices of…

High Energy Physics - Phenomenology · Physics 2014-11-20 Zhi-zhong Xing , Deshan Yang , Shun Zhou

Tri-bimaximal mixing is a specific lepton mixing ansatz, which has been shown to account very successfully for the established neutrino oscillation data. Working in a particular basis (the `circulant basis'), we identify three independent…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. F. Harrison , W. G. Scott

We present a model based on an O(3) flavor symmetry and a minimal extension of the scalar sector to induce hierarchical breaking, O(3) -> O(2) -> SO(2) -> nothing. The model naturally accounts for all the known lepton parameters and yields…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gilad Perez

We propose simple phenomenological lepton mass matrices which describe the three neutrinos almost degenerate in mass, leading to a very large mixing angle between $\nu_\mu$ and $\nu_\tau$, as consistent with a recent report on atmospheric…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Fukugita , M. Tanimoto , T. Yanagida

We extend a previously developed description of the flavour parameters in the charged fermion sector, based on a U(2) flavour symmetry, to include two main features of the neutrino sector seemingly implied by recent data: a large mixing…

High Energy Physics - Phenomenology · Physics 2014-11-17 Riccardo Barbieri , Paolo Creminelli , Andrea Romanino

Recent atmospheric neutrino data at Super-Kamiokande suggest the large flavor mixing of neutrinos. Models for the lepton mass matrix, which give the near-maximal flavor mixing, are discussed in the three family model. Especially, details of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Morimitsu Tanimoto

We propose a flexible and model independent parametrization of the neutrino mixing matrix, which takes advantage of the fact that there are up to three small quantities in neutrino mixing phenomenology: (i) the deviation from maximal mixing…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Rodejohann

The recent discovery of a non-zero value of the mixing angle theta_13 has ruled out tri-bimaximal mixing as the correct lepton mixing pattern generated by some discrete flavor symmetry (barring large next-to-leading order corrections in…

High Energy Physics - Phenomenology · Physics 2013-04-03 Martin Holthausen , Kher Sham Lim , Manfred Lindner

Inspired by the recent T2K indication of a relatively large theta_{13}, we provide a systematic study of some general modifications to three mostly discussed neutrino mixing patterns, i.e., tri-bimaximal, bimaximal and democratic mixing…

High Energy Physics - Phenomenology · Physics 2011-07-06 Wei Chao , Ya-juan Zheng

We present a supersymmetric model with the flavour symmetry S4 x Z3 and a CP symmetry which are broken to a Z3 subgroup of the flavour symmetry in the charged lepton sector and to Z2 x CP (x Z3) in the neutrino one at leading order. This…

High Energy Physics - Phenomenology · Physics 2014-02-18 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler

We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus.…

High Energy Physics - Phenomenology · Physics 2018-07-11 Tatsuo Kobayashi , Kentaro Tanaka , Takuya H. Tatsuishi
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