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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

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

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

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

CP violation in neutrino interactions is described by three phases contained in Pontecorvo-Maki-Nakagawa-Sakata mixing matrix ($U_{PMNS}$). We argue that the phenomenologocally consistent result of the Dirac CP violation can be obtained if…

High Energy Physics - Phenomenology · Physics 2015-01-30 Jun Iizuka , Teruyuki Kitabayashi , Yuki Minagawa , Masaki Yasue

We propose that leptonic CP violation arises from a breaking of the mu-tau exchange symmetry in the neutrino mass matrix which in turn is indicated by the near maximal atmospheric neutrino mixing and the near zero \theta_{13}. We find that…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Mohapatra , W. Rodejohann

We present neutrino mass matrices which predict the atmospheric neutrino mixing to be almost maximal, $\sin^2 2\theta_{atm}>0.999$, as well as the large solar neutrino mixing, $8/9>\sin^2 2\theta_{sol}>0.87$, and the large CP violation (the…

High Energy Physics - Phenomenology · Physics 2009-12-31 Takahiro Miura , Eiichi Takasugi , Masaki Yoshimura

There are experimentally determined two best-fit points for the atmospheric neutrino mixing angle $\theta_{23}$: $\sin^2 \theta_{23} = 0.413$ (case A) and $\sin^2 \theta_{23} = 0.594$ (case B). In the bipair neutrino mixing scheme, we…

High Energy Physics - Phenomenology · Physics 2015-06-17 Teruyuki Kitabayashi , Masaki Yasue

The requirement of the mu-tau symmetry in the neutrino sector that yields the maximal atmospheric neutrino mixing is shown to yield either sin(\theta_{13})=0 (referred to as C1)) or sin(\theta_{12})=0 (referred to as C2)), where…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kenichi Fuki , Masaki Yasue

We show a general form of neutrino mass matrix (M), whose matrix elements are denoted by M_{ij} (i.j=e, mu, tau) as flavor neutrino masses, that induces maximal CP violation as well as maximal atmospheric neutrino mixing. The masses of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ichiro Aizawa , Teruyuki Kitabayashi , Masaki Yasue

Relying upon the usefulness of the \mu-\tau symmetry, we find a new type of neutrino mass texture with a single phase parameter \delta that describes maximal atmospheric neutrino mixing and Dirac CP violation due to the presence of \delta.…

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

In this paper, we derive in a novel approach the possible textures of neutrino mass matrix that can lead to maximal atmospherical mixing angle ($\theta^{}_{23} = \pi/4$) and Dirac CP phase ($\delta = - \pi/2$) in two phenomenologically…

High Energy Physics - Phenomenology · Physics 2019-05-08 Zhi-Cheng Liu , Chong-Xing Yue , Zhen-hua Zhao

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

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the predictions based on the sum rules which…

High Energy Physics - Phenomenology · Physics 2015-05-12 I. Girardi , S. T. Petcov , A. V. Titov

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

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 discuss a neutrino mass matrix $\mathcal{M}_\nu$ originally found by Babu, Ma, and Valle (BMV) and show that this mass matrix can be characterized by a simple algebraic relation. From this relation it follows that atmospheric neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. Grimus , L. Lavoura

We consider a minimal condition that predicts the 1-3 lepton mixing angle $\theta_{13} \simeq \theta_{\rm C}/\sqrt{2}$ with $\theta_{\rm C}$ the Cabibbo angle, and give the improved prediction of $\theta_{13}$. In the case of normal mass…

High Energy Physics - Phenomenology · Physics 2016-01-19 Junpei Harada

Leptonic CP Violating Phase $ \delta_{CP} $ in the light neutrino sector and leptogenesis via present matter antimatter asymmetry of the Universe entails each other. Probing CP violation in light neutrino oscillation is one of the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Gayatri Ghosh

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
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