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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

We derive a set of symmetry relations for the three-neutrino mixing angles, including the MSW matter effect. Though interesting in their own right, these relations are used to choose the physical region of the mixing angles such that…

Nuclear Theory · Physics 2009-11-10 D. C. Latimer , D. J. Ernst

We consider various neutrino mixing matrix parametrizations and the dependence of the mixing angles and CP-violating phase on the different parametrizations. The transformations of neutrino mixing parameters between various parametrizations…

High Energy Physics - Phenomenology · Physics 2011-08-22 Melin Huang , Dawei Liu , Jen-Chieh Peng , S. D. Reitzner , Wei-Chun Tsai

Nonzero and relatively large of $\theta_{13}$ mixing angle has some phenomenological consequences on neutrino physics beyond the standard model. One of the consequences if the mixing angle $\theta_{13}\neq 0$ is the possibility of the CP…

High Energy Physics - Phenomenology · Physics 2014-10-16 Asan Damanik

We consider analytically the domain of the three mixing angles $\Theta_{ij}$ and the CP phase $\delta$ for three flavour neutrino oscillations both in vacuum and matter. Similarly to the quark sector, it is necessary and sufficient to let…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Gluza , M. Zralek

A model independent analysis of the leptonic Dirac CP-violating phase ({\delta}) is presented. The analysis uses the experimentally determined values of the mixing angles in the lepton mixing matrix in order to explore the allowed values…

High Energy Physics - Phenomenology · Physics 2014-06-09 J. Alberto Acosta , Alfredo Aranda , Julio Virrueta

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

The phase equivalence of the theoretical mixing matrix ${\bf V}^{th}$ derived from the breaking of the flavour permutational symmetry and the standard parametrization ${\bf V}^{PDG}$ advocated by the Particle Data Group is explicitly…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Mondragon , E. Rodriguez-Jauregui

Nonzero of mixing angle $\theta_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle $\theta_{13}\neq 0$, then there is the possibility of the CP violation existence on the neutrino…

High Energy Physics - Phenomenology · Physics 2015-07-21 Asan Damanik

The bounds on the neutrino mixing angles and CP Dirac phase for an SO(10) model with lopsided mass matrices, arising from the presence of ${\bf 16}_H$ and $\bar{\bf 16}_H$ Higgs representations, are studied by variation of the one real and…

High Energy Physics - Phenomenology · Physics 2014-11-18 Carl H. Albright

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

It is found that the atmospheric neutrino mixing angle of \theta_{atm} is determined to be \tan\theta_{atm}=Im(B)/Im(C) for B=M_{\nu_e\nu_\mu} and C=M_{\nu_e\nu_\tau}, where M_{ij} is the ij element of M^\dagger_\nu M_\nu with M_\nu as a…

High Energy Physics - Phenomenology · Physics 2014-11-18 Ichiro Aizawa , Masaki Yasue

We review the present understanding of neutrino masses and mixings, discussing what are the unknowns in the three family oscillation scenario. Despite the anticipated success coming from the planned long baseline neutrino experiments in…

High Energy Physics - Phenomenology · Physics 2009-11-11 Olga Mena

We perform a global analysis of neutrino oscillation data, including high-precision measurements of the neutrino mixing angle theta_13 at reactor experiments, which have confirmed previous indications in favor of theta_13>0. Recent data…

High Energy Physics - Phenomenology · Physics 2013-05-30 G. L. Fogli , E. Lisi , A. Marrone , D. Montanino , A. Palazzo , A. M. Rotunno

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 latest experimental progress have established three kinds of neutrino oscillations with three mixing angles measured to rather high precision. There is still one parameter, i.e., the CP violating phase, missing in the neutrino mixing…

High Energy Physics - Phenomenology · Physics 2012-06-22 Xinyi Zhang , Bo-Qiang Ma

Suppose the geometrical explaination to the weak CP phase in quark sector is also valid for neutrinos, the mixing and CP violation in neutrino system are discussed. We find a larger $J_{CP}$ than $3\times 10^{-3}$ implys the large-mixing…

High Energy Physics - Phenomenology · Physics 2018-01-17 Yong Liu , Utpal Sarkar

The $\mu$-$\tau$ exchange symmetry in the neutrino mass matrix and its breaking as a perturbation are discussed. The exact $\mu$-$\tau$ symmetry restricts the 2-3 and 1-3 neutrino mixing angles as $\theta_{23} = \pi/4$ and $\theta_{13} = 0$…

High Energy Physics - Phenomenology · Physics 2020-07-15 Takeshi Fukuyama , Yukihiro Mimura

The CKM matrix describing quark mixing with three generations can be parameterized by three Euler mixing angles and one CP violating phase. In most of the parameterizations, the CP violating phase chosen is not a directly measurable…

High Energy Physics - Phenomenology · Physics 2015-06-12 Guan-Nan Li , Hsiu-Hsien Lin , Dong Xu , Xiao-Gang He

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Lam
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