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Related papers: Mu-tau reflection symmetry with a texture-zero

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The $\mu\tau$-reflection symmetric neutrino mass matrix can accommodate all known neutrino mixing angles, with maximal atmospheric angle fixed, and predicts all the unknown CP phases of the lepton sector but is unable to predict the…

High Energy Physics - Phenomenology · Physics 2018-09-18 C. C. Nishi , B. L. Sánchez-Vega , G. Souza Silva

In this letter, we consider exact $\mu-\tau$ reflection symmetries for quarks and leptons. Fermion mass matrices are assumed to be four-zero textures for charged fermions $f = u,d,e$ and a symmetric matrix for neutrinos $\nu_{L}$. By a…

High Energy Physics - Phenomenology · Physics 2020-05-28 Masaki J. S. Yang

We analyse a flavour model for a lepton sector which is based on type I seesaw mechanism, a Z_2 symmetry for lepton flavours, a mu-tau interchange symmetry and a CP symmetry. This model fits well the data of neutrino mass squared…

High Energy Physics - Phenomenology · Physics 2015-10-19 Darius Jurciukonis , Thomas Gajdosik , Andrius Juodagalvis

The $\mu$-$\tau$ reflection symmetry $(\nu_{e},\thinspace\nu_{\mu},\thinspace\nu_{\tau})\rightarrow(\overline{\nu}_{e},\thinspace\overline{\nu}_{\tau},\thinspace\overline{\nu}_{\mu})$ and the TM1 mixing (a PMNS matrix with the first column…

High Energy Physics - Phenomenology · Physics 2017-10-04 Werner Rodejohann , Xun-Jie Xu

Within the type-I seesaw framework with three heavy right chiral neutrinos and in the basis where the latter and the charged leptons are mass diagonal, a near `mu-tau' symmetry in the neutrino sector is strongly suggested by the neutrino…

High Energy Physics - Phenomenology · Physics 2010-04-30 Biswajit Adhikary , Ambar Ghosal , Probir Roy

In this paper, we attempt to implement the neutrino $\mu$-$\tau$ reflection symmetry (which predicts $\theta^{}_{23} = \pi/4$ and $\delta = \pm \pi/2$ as well as trivial Majorana phases) in the minimal seesaw (which enables us to fix the…

High Energy Physics - Phenomenology · Physics 2017-11-22 Zhi-Cheng Liu , Chong-Xing Yue , Zhen-hua Zhao

Viability of the \mu-\tau interchange symmetry imposed as an approximate symmetry (1) on the neutrino mass matrix {\cal M}_{\nu f} in the flavour basis (2) simultaneously on the charged lepton mass matrix M_l and the neutrino mass matrix…

High Energy Physics - Phenomenology · Physics 2013-09-13 Shivani Gupta , Anjan S. Joshipura , Ketan M. Patel

We find a realization of the $Z_2$-symmetry in the neutrino mass matrix which expresses a rotation of the $\mu-\tau$ symmetry and is able to impose a generic smallest mixing angle, in contrast to a zero-value predicted by the usual…

High Energy Physics - Phenomenology · Physics 2017-07-12 E. I. Lashin , N. Chamoun , C. Hamzaoui , S. Nasri

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

The neutrino $\mu$-$\tau$ reflection symmetry has been attracting a lot of attention as it predicts the interesting results $\theta^{}_{23} = \pi/4$ and $\delta = \pm \pi/2$. But it is reasonable to consider breakings of such a symmetry…

High Energy Physics - Phenomenology · Physics 2017-10-11 Zhen-hua Zhao

We note that the emerging features of lepton mixing can be reproduced if, with inverted neutrino mass ordering, both the smallest neutrino mass and the $\tau\tau$ element of the neutrino mass matrix vanish. Then, the atmospheric neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-16 Luís Lavoura , Werner Rodejohann , Atsushi Watanabe

We suggest a simple model, based on the type-I seesaw mechanism, for the lepton mass matrices. The model hinges on an Abelian symmetry which leads to mass matrices with some vanishing matrix elements. The model predicts one massless…

High Energy Physics - Phenomenology · Physics 2015-06-04 P. M. Ferreira , L. Lavoura

The $\mu-\tau$ reflection symmetry of the lepton mixing matrix accommodates maximal atmospheric mixing ($\theta_{23}=\pi/4$) as well as maximal Dirac CP phase ($\delta=\pm \pi/2$) for the Dirac case. In the standard parametrization of the…

High Energy Physics - Phenomenology · Physics 2021-04-02 Chandan Duarah

We focus on the use of a mu-tau interchange symmetry to explain features of lepton mixing, especially maximal atmospheric neutrino mixing. We review two models which achieve this goal and are based on the seesaw mechanism and on the soft…

High Energy Physics - Phenomenology · Physics 2015-06-05 W. Grimus , L. Lavoura

An explicit form of charged--lepton mass matrix, predicting $ m_\tau = 1776.80 $~MeV from the experimental values of $ m_e $ and $ m_\mu$ (in good agreement with the experimental figure $ m_\tau = 1777.05^{+0.29}_{-0.26}$ MeV), is applied…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wojciech Krolikowski

The present neutrino oscillation data allow $m^{}_1 = 0$ (or $m^{}_3 = 0$) for the neutrino mass spectrum and support $\theta^{}_{23} \simeq \pi/4$ and $\delta \simeq -\pi/2$ as two good approximations for the PMNS lepton flavor mixing…

High Energy Physics - Phenomenology · Physics 2023-03-22 Zhi-zhong Xing

Neutrino oscillations data indicates that neutrino mixings are consistent with an apparent $\nu_\mu - \nu_\tau$ exchange symmetry in neutrino mass matrix. We observe that in the mininimally extended standard model with the see-saw…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juan Carlos Gómez-Izquierdo , Abdel Pérez-Lorenzana

The minimal seesaw framework, embroiling the Dirac neutrino mass matrix $ M_D $ and the Majorana neutrino mass matrix $ M_R $, is quite successful to explain the current global-fit results of neutrino oscillation data. In this context, we…

High Energy Physics - Phenomenology · Physics 2019-11-04 Newton Nath

We propose two new predictive neutrino mass matrix textures that deviate from $\mu$-$\tau$ symmetry and explore their phenomenological implications. These textures are significant due to their predictive nature and the unique approach they…

High Energy Physics - Phenomenology · Physics 2025-07-23 Pralay Chakraborty , Tanmay Dev , Subhankar Roy

We examine the possibility that the lepton mixing matrix may exhibit a strong form of mu-tau universality, in which corresponding elements of the mu- and tau-neutrino flavour eigenstates have equal moduli, and find that it is consistent…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. F. Harrison , W. G. Scott
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