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We investigate the quantum effects for the democratic-type neutrino mass matrix given at the right-handed neutrino mass scale $m_R$ in order to see (i) whether $\theta_{23}=-\pi/4$ predicted by the model is stable to explain the atmospheric…

High Energy Physics - Phenomenology · Physics 2009-10-31 Takahiro Miura , Eiichi Takasugi , Masaki Yoshimura

We propose a democratic-type neutrino mass matrix based on $Z_3$ symmetry. This mass matrix predicts the CP violation phase, $\delta=\pi/2$, and the mixing angle between the mass eigenstates $\nu_2$ and $\nu_3$, $\sin^2 \theta_{23}= \cos^2…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kiko Fukuura , Takahiro Miura , Eiichi Takasugi , Masaki Yoshimura

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 reexamine the democratic neutrino mixing ansatz, in which the mass matrices of charged leptons and Majorana neutrinos arise respectively from the explicit breaking of S(3)_L x S(3)_R and S(3) flavor symmetries. It is shown that a…

High Energy Physics - Phenomenology · Physics 2009-11-10 Harald Fritzsch , Zhi-zhong Xing

We consider the democratic-type neutrino mass matrix and show that this matrix predicts the atmospheric neutrino mixing to be almost maximal, $\sin^2 2\theta_{atm}>0.999$ as well as the large CP violation (the CP violation phase in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Takahiro Miura , Eiichi Takasugi , Masaki Yoshimura

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- $\theta_{12}, \theta_{23}, \theta_{13}$ and Dirac…

High Energy Physics - Phenomenology · Physics 2019-05-21 Chandan Duarah

Experimental data have provided stringent constraints on neutrino mixing parameters. In the standard parameterization the mixing angle $\theta_{23}$ is close to $\pi/4$. There are also evidences show that the CP violating phase is close to…

High Energy Physics - Phenomenology · Physics 2015-11-24 Xiao-Gang He

We motivate the simplest ansatz for the neutrino mass matrix consistent with the data from neutrino oscillation experiments, and admitting CP violation. It has only two free parameters: an arbitrary mass-scale and a small dimensionless…

High Energy Physics - Phenomenology · Physics 2010-04-05 P. F. Harrison , W. G. Scott

New theory of neutrino masses and mixing is introduced. This theory is based on a simple S_3 symmetric democratic neutrino mass matrix, and predicts the neutrino mass spectrum of normal ordering. Taking into account the matter effect and…

High Energy Physics - Phenomenology · Physics 2014-05-22 Dmitry Zhuridov

Considerable information has been obtained about neutrino mixing matrix. Present data show that in the particle data group (PDG) parameterization, the 2-3 mixing angle and the CP violating phase are consistent with $\theta_{23} = \pi/4$ and…

High Energy Physics - Phenomenology · Physics 2020-02-19 Junxing Pan , Jin Sun , Xiao-Gang He

A special form of the $3 \times 3$ Majorana neutrino mass matrix derivable from $\mu - \tau$ interchange symmetry accompanied by a generalized $CP$ transformation was obtained many years ago. It predicts $\theta_{23} = \pi/4$ as well as…

High Energy Physics - Phenomenology · Physics 2015-05-18 Ernest Ma , Alexander Natale , Oleg Popov

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

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

There are good reasons why neutrinos could be Majorana particles, but there exist also a number of very good reasons why neutrinos could have Dirac masses. The latter option deserves more attention and we derive therefore analytic…

High Energy Physics - Phenomenology · Physics 2009-11-11 Manfred Lindner , Michael Ratz , Michael Andreas Schmidt

In this article, we derive the tiny neutrino masses and mixings from the democratic and diagonal texture approach, which consistent with the recent experimental oscillation data. The unitary rotation matrices, which diagonalize the neutrino…

High Energy Physics - Phenomenology · Physics 2023-05-16 Itishree Sethi , Biswaranjan Behera , Mitesh Kumar Behera

Recent neutrino oscillation data hint that the smallest neutrino mixing angle theta_{13} is possible to lie in the range 5^\circ \lesssim \theta_{13} \lesssim 12^\circ. We show that reasonable perturbations to the democratic mixing pattern,…

High Energy Physics - Phenomenology · Physics 2011-01-27 Zhi-zhong Xing

We considered a model where |V_{13}|=0 so that delta=0 at M_R and analyzed mixing angles and CP violation angles at the low energy scale by using the renormalization group in the MSSM model. In this model, parameters at M_R scale are two…

High Energy Physics - Phenomenology · Physics 2015-06-25 Takahiro Miura , Tetsuo Shindou , Eiichi Takasugi

The observed pattern of neutrino mixing angles is in good agreement with the hypothesis of neutrino anarchy, which posits that Nature has chosen the entries of the leptonic mixing matrix at random. In this paper we investigate how stable…

High Energy Physics - Phenomenology · Physics 2016-05-27 Vedran Brdar , Matthias König , Joachim Kopp

An approximate neutrino mixing matrix is formutated by using the standard neutrino mixing matrix as a basis and experimental data of neutrino oscillations as inputs. By using the resulted approximate neutrino mixing matrix to proceed the…

High Energy Physics - Phenomenology · Physics 2016-07-05 Asan Damanik

We derive renormalization group equations for neutrino masses, leptonic mixing angles and CP-violating phases running at energies above the seesaw threshold, both in the Standard Model and in the Minimal Supersymmetric Standard Model…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jianwei Mei
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