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The recent measurement of the third lepton mixing angle, \theta_{13}, has shown that, although small compared to \theta_{12} and \theta_{23}, it is much larger than anticipated in schemes that generate Tri-Bi-Maximal (TBM) or Golden Ratio…

High Energy Physics - Phenomenology · Physics 2015-06-15 L. J. Hall , G. G. Ross

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

I propose a model of radiative charged-lepton and neutrino masses with $A_4$ symmetry. The soft breaking of $A_4$ to $Z_3$ lepton triality is accomplished by dimension-three terms. The breaking of $Z_3$ by dimension-two terms allow…

High Energy Physics - Phenomenology · Physics 2016-03-23 Ernest Ma

It has recently been shown that the phenomenologically successful pattern of cobimaximal neutrino mixing ($\theta_{13} \neq 0$, $\theta_{23} = \pi/4$, and $\delta_{CP} = \pm \pi/2$) may be achieved in the context of the non-Abelian discrete…

High Energy Physics - Phenomenology · Physics 2018-01-17 Ernest Ma

We construct a supersymmetric model based on $T'\otimes Z_3\otimes Z_9$ flavor symmetry. At the leading order, the charged lepton mass matrix is not diagonal, $T'$ is broken completely, and the hierarchy in the charged lepton masses is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gui-Jun Ding

In light of the recent neutrino experiment results from Daya Bay and RENO Collaborations, we study phenomenology of neutrino mixing angles in the Type III seesaw model with an discrete $A_4 \times Z_2$ symmetry, whose spontaneously breaking…

High Energy Physics - Phenomenology · Physics 2015-05-27 Y. H. Ahn , C. S. Kim , Sechul Oh

We construct two flavor models based on $S_4$ family symmetry and generalised CP symmetry. In both models, the $S_4$ family symmetry is broken down to the $Z^{SU}_2$ subgroup in the neutrino sector, as a consequence, the trimaximal…

High Energy Physics - Phenomenology · Physics 2014-02-19 Cai-Chang Li , Gui-Jun Ding

We present the lepton flavor model with $\Delta (54)$, which appears typically in heterotic string models on the $T^2/Z_3$ orbifold. Our model reproduces the tri-bimaximal mixing in the parameter region around degenerate neutrino masses or…

High Energy Physics - Phenomenology · Physics 2010-04-30 Hajime Ishimori , Tatsuo Kobayashi , Hiroshi Okada , Yusuke Shimizu , Morimitsu Tanimoto

We perform a comprehensive study of family symmetry models based on $A_4$ combined with the generalised CP symmetry $H_{\rm{CP}}$. We investigate the lepton mixing parameters which can be obtained from the original symmetry $A_4\rtimes…

High Energy Physics - Phenomenology · Physics 2015-06-16 Gui-Jun Ding , Stephen F. King , Alexander J. Stuart

Recent T2K, MINOS and Double CHOOZ results, together with global fits of mixing parameters, indicate a sizeable reactor angle theta13 ~ 8 deg which, if confirmed, would rule out tri-bimaximal (TB) lepton mixing. Recently two of us studied…

High Energy Physics - Phenomenology · Physics 2012-07-18 Iain K. Cooper , Stephen F. King , Christoph Luhn

We investigate the theoretical stability of the predictions of tri-bimaximal neutrino mixing with respect to third family wave-function corrections. Such third family wave-function corrections can arise from either the canonical…

High Energy Physics - Phenomenology · Physics 2009-01-14 Stefan Antusch , Stephen F. King , Michal Malinsky

An attempt is made to explore the possibility for deviations of solar mixing angle ($\theta_{12}$) from tri-bimaximal mixings, without sacrificing the predictions of maximal atmospheric mixing angle ($\theta_{23}=\pi/4$) and zero reactor…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Nimai Singh , Monisa Rajkhowa , Abhijit Borah

We discuss consequences of combining the effective $Z_2\times Z_2$ symmetry of the tri-bimaximal neutrino mass matrix with the CP symmetry. Imposition of such generalized $Z_2\times Z_2$ symmetries leads to predictive neutrino mass matrices…

High Energy Physics - Phenomenology · Physics 2012-02-23 Shivani Gupta , Anjan S. Joshipura , Ketan M. Patel

We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the tribimaximal mixing pattern of the neutrino mixing matrix. In this framework we study…

High Energy Physics - Phenomenology · Physics 2013-11-13 A. E. Cárcamo Hernández , Ivo de Medeiros Varzielas , S. G. Kovalenko , H. Päs , Iván Schmidt

We review the application of non-Abelian discrete groups to Tri-Bimaximal (TB) neutrino mixing, which is supported by experiment as a possible good first approximation to the data. After summarizing the motivation and the formalism, we…

High Energy Physics - Phenomenology · Physics 2015-06-05 Guido Altarelli , Ferruccio Feruglio , Luca Merlo

We postulate that the neutrino mass matrix in the lepton flavour basis is an S3 group matrix in the natural representation of S3. This immediately requires one neutrino to be trimaximally mixed, as suggested by the solar neutrino data. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. F. Harrison , W. G. Scott

Current neutrino data are consistent with the so-called tribimaximal mixing scenario, which predicts \sin^2 \theta_{12}=1/3, zero U_{e3} and maximal \theta_{23}. This implies a special form of the neutrino mass matrix. Introducing small…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. Plentinger , W. Rodejohann

We present a systematic study on minimally perturbed neutrino mass matrices which at the leading order give rise to Tri-BiMaximal (TBM) mixing due to a residual $\mathbb{Z}_2\times \mathbb{Z}_2^{\mu\tau}$ Klein symmetry in the neutrino mass…

High Energy Physics - Phenomenology · Physics 2019-02-07 Rome Samanta , Mainak Chakraborty

In this paper, we impose a magic symmetry on the neutrino mass matrix $m_{\nu}$ with universal four-zero texture and diagonal reflection symmetries. Due to the magic symmetry, the MNS matrix has trimaximal mixing inevitably. Since the…

High Energy Physics - Phenomenology · Physics 2022-07-25 Masaki J. S. Yang

We phenomenologically build a neutrino mass matrix obeying $\mu-\tau$ symmetry with only two parameters, Cabibbo angle $(\lambda)$ and a flavour twister parameter $(\eta)$. For vanishing $\eta$, the model assumes TBM mixing. When…

High Energy Physics - Phenomenology · Physics 2013-04-09 Subhankar Roy , N. Nimai Singh