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In an improved application of the tetrahedral symmetry A_4 first introduced by Ma and Rajasekaran, supplemented by the discrete symmetry Z_3 as well as supersymmetry, a two-parameter form of the neutrino mass matrix is derived which…

高能物理 - 唯象学 · 物理学 2008-11-26 Ernest Ma

We consider a class of models of neutrino mixing with $S_4$ flavour symmetry and generalised CP symmetry, broken to $Z_2$ and $Z_2 \times {\rm CP}$ residual symmetries in the charged lepton and neutrino sectors, respectively. In this…

高能物理 - 唯象学 · 物理学 2018-03-30 J. T. Penedo , S. T. Petcov , A. V. Titov

The tetrahedron $A_4$ group has been widely used in studying neutrino mixing matrix. It provides a natural framework of model building for the tri-bimaximal mixing matrix. In this class of models, it is necessary to have two Higgs fields,…

高能物理 - 唯象学 · 物理学 2008-11-26 Xiao-Gang He

We address two fundamental aspects of flavor physics: the mass hierarchy and the large lepton mixing angles. On one side, left-right flavor symmetry realizes the democratic mass matrix patterns and explains why one family is much heavier…

高能物理 - 唯象学 · 物理学 2008-11-26 Federica Bazzocchi , Stefano Morisi , Marco Picariello

We have studied $\Delta(54)\times Z_2$ flavor model for leptons and sleptons. The tri-bimaximal mixing can be reproduced for arbitrary neutrino masses if vacuum alignments of scalar fields are guaranteed. The deviation from the…

高能物理 - 唯象学 · 物理学 2010-01-15 Hajime Ishimori , Tatsuo Kobayashi , Hiroshi Okada , Yusuke Shimizu , Morimitsu Tanimoto

In view of the recent neutrino oscillation data pointing to a non-vanishing value for the smallest mixing angle ($\theta_z$), we derive and find explicit realizations of the $(Z_2)^3$ flavor symmetry which characterizes, for the neutrino…

高能物理 - 唯象学 · 物理学 2013-05-30 E. I. Lashin , M. Abbas , N. Chamoun , S. Nasri

The observed large mixing angles in the lepton sector may be the first signal for the presence of a non-Abelian family symmetry. However, to obtain the significant differences between the mixing of the neutrino and charged fermion sectors,…

高能物理 - 唯象学 · 物理学 2010-04-05 Ivo de Medeiros Varzielas , Graham G. Ross

We consider trimaximal lepton mixing, defined by |U_{alpha 2}|^2 = 1/3 for all alpha = e, mu, tau. This corresponds to a two-parameter lepton mixing matrix U. We present a model for the lepton sector in which trimaximal mixing is enforced…

高能物理 - 唯象学 · 物理学 2009-01-06 W. Grimus , L. Lavoura

The neutrino mixing sum rule $\theta_{12} - \theta_{13}\cos(\delta) \approx \theta^\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2…

高能物理 - 唯象学 · 物理学 2010-10-27 S. Antusch , P. Huber , S. F. King , T. Schwetz

In the present work, the inverted hierarchical neutrino mass model which is characterised by opposite CP parity in the first two mass eigenvalues $(m_1,-m_2,m_3)$, is studied in order to lower the predicted value of solar mixing angle…

高能物理 - 唯象学 · 物理学 2008-11-26 N. Nimai Singh , Monisa Rajkhowa , Abhijit Borah

The simple correlation among three lepton flavor mixing angles $(\theta^{}_{12}, \theta^{}_{13}, \theta^{}_{23})$ and the leptonic Dirac CP-violating phase $\delta$ is conventionally called a sum rule of lepton flavor mixing, which may be…

高能物理 - 唯象学 · 物理学 2016-08-09 Jue Zhang , Shun Zhou

We present a new model of the lepton sector that uses a family symmetry A4 to make predictions for lepton mixing which are invariant under any permutation of the three flavours. We show that those predictions broadly agree with the…

高能物理 - 唯象学 · 物理学 2015-06-16 P. M. Ferreira , L. Lavoura , P. O. Ludl

In this work, we construct an A4-based flavor symmetry model within the framework of the type-I seesaw mechanism to realize a light neutrino mass matrix consistent with mu-tau reflection symmetry. The entire framework is based on the…

高能物理 - 唯象学 · 物理学 2026-04-09 Rupak Chakrabarty , Chandan Duarah

Correlations between light neutrino observables are arguably the strongest predictions of lepton avour models based on (discrete) symmetries, except for the very few cases which unambiguously predict the full set of leptonic mixing angles.…

高能物理 - 唯象学 · 物理学 2016-11-22 Julia Gehrlein , Alexander Merle , Martin Spinrath

A radiative model of quark and lepton masses utilizing the binary tetrahedral ($T^{\prime}$) flavor symmetry, or horizontal symmetry, is proposed which produces the first two generation of quark masses through their interactions with…

高能物理 - 唯象学 · 物理学 2016-11-18 Alexander Natale

In a new application of the discrete non-Abelian symmetry A_4 using the canonical seesaw mechanism, a three-parameter form of the neutrino mass matrix is derived. It predicts the following mixing angles for neutrino oscillations:…

高能物理 - 唯象学 · 物理学 2009-11-11 Ernest Ma

Recent measurements of the lepton mixing angle $\theta_{13}$ by the Daya Bay and RENO reactor experiments are consistent with the relationship $\theta_{13}\approx \theta_C/\sqrt{2}$ where $ \theta_C$ is the Cabibbo angle. We propose…

高能物理 - 唯象学 · 物理学 2015-06-05 S. F. King

The present article is an endeavor to look into some fruitful frameworks based on "Bi-maximal" neutrino mixing, from a model independent stand. The possibilities involving the correction or attenuation of the original BM mixing matrix,…

高能物理 - 唯象学 · 物理学 2016-03-28 Subhankar Roy , N. Nimai Singh

The approximated tri-bimaximal mixing observed in the neutrino oscillations is a particular feature of a class of models characterized by the spontaneously broken horizontal flavour symmetry A4. In this paper, it is presented an analysis on…

高能物理 - 唯象学 · 物理学 2009-05-15 Luca Merlo

A modified neutrino mass model with five extra scalars is constructed using $A_{4}$ discrete symmetry group. The resultant mass matrix is able to give necessary deviation from Tribimaximal mixing which reproduces the current neutrino masses…

高能物理 - 唯象学 · 物理学 2022-08-19 Victoria Puyam , S. Robertson Singh , N. Nimai Singh