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Related papers: Mu-Tau Reflection Symmetry in the Standard Paramet…

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We propose a generalized $\mu-\tau$ reflection symmetry to constrain the lepton flavor mixing parameters. We obtain a new correlation between the atmospheric mixing angle $\theta_{23}$ and the "Dirac" CP violation phase $\delta_{\rm CP}$.…

High Energy Physics - Phenomenology · Physics 2016-08-08 Peng Chen , Gui-Jun Ding , Felix Gonzalez-Canales , J. W. F. Valle

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

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

In this paper, we generally analyze the $\mu - \tau$ reflection symmetry modified by small mixings of charged leptons and how will future experiments verify deviations from the predictions of the symmetry. As an approximation, the…

High Energy Physics - Phenomenology · Physics 2025-09-03 Masaki J. S. Yang

$\mu-\tau$ reflection symmetry is an attractive flavour symmetry in lepton mixing, which accommodates maximal values of atmospheric mixing angle ($\theta_{23}=\pi/4$) and Dirac CP phase ($\delta=\pi/2/3\pi/2$). Another significance of this…

High Energy Physics - Phenomenology · Physics 2025-10-16 Chandan Kumar Borah , Chandan Duarah

In this work, we construct an A4-based flavor symmetry model within the framework of the type-I seesaw mechanism to realize a light neutrino mass matrix consistent with mu-tau reflection symmetry. The entire framework is based on the…

High Energy Physics - Phenomenology · Physics 2026-04-09 Rupak Chakrabarty , Chandan Duarah

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

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 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

We propose a simple mechanism which enforces |U_{mu j}| = | U_{tau j}| forall j = 1,2,3 in the lepton mixing matrix U. This implies maximal atmospheric neutrino mixing and a maximal CP-violating phase but does not constrain the reactor…

High Energy Physics - Phenomenology · Physics 2015-06-05 P. M. Ferreira , W. Grimus , L. Lavoura , P. O. Ludl

We investigate the consequences of $\mu-\tau$ reflection symmetry in presence of a light sterile neutrino for the $3+1$ neutrino mixing scheme. We discuss the implications of total $\mu-\tau$ reflection symmetry as well partial $\mu-\tau$…

High Energy Physics - Phenomenology · Physics 2019-08-28 Kaustav Chakraborty , Srubabati Goswami , Biswajit Karmakar

The generalized $\mu$-$\tau$ interchange symmetry in the leptonic mixing matrix $U$ corresponds to the relations: $|U_{\mu i}|=|U_{\tau i}|$ with $i=1,2,3$. It predicts maximal atmospheric mixing and maximal Dirac CP violation given…

High Energy Physics - Phenomenology · Physics 2015-08-10 Anjan S. Joshipura , Ketan M. Patel

The exchange symmetry between the muon neutrino and the tau neutrino for the neutrino mass matrix has been very useful in understanding the near maximal atmospheric neutrino mixing angle. However, this symmetry can not be imposed at the…

High Energy Physics - Phenomenology · Physics 2015-06-17 Shreyashi Chakdar , Kirtiman Ghosh , S. Nandi

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

Within the framework of residual symmetry, two $\mathbb{Z}_2$ type associate $\mu\tau$ interchange symmetries robustly constrain the Dirac CP phase $\delta$ in a model independent way. Both of them predict simultaneous maximality of…

High Energy Physics - Phenomenology · Physics 2020-01-08 Rome Samanta , Roopam Sinha , Ambar Ghosal

Discovery of the CP-violation in the lepton sector is one of the challenges of the particle physics. We search for possible principles, symmetries and phenomenological relations that can lead to particular values of the CP-violating Dirac…

High Energy Physics - Phenomenology · Physics 2010-10-27 Y. Farzan , A. Yu. Smirnov

We consider minimal type-I seesaw framework to realize $ \mu-\tau $ reflection symmetry in the low-energy neutrino mass matrix, $ M_{\nu} $. Considering DUNE experiment, we scrutinize its potential to measure the precision of 2-3 mixing…

High Energy Physics - Phenomenology · Physics 2018-10-19 Newton Nath

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

The $\mu$-$\tau$ reflection symmetry is compatible with current neutrino oscillation data and easily realized under family symmetries. We prove that this symmetry preserves $\theta_{23}=45^\circ$, $\delta=\pm90^\circ$,…

High Energy Physics - Phenomenology · Physics 2014-10-01 Ye-Ling Zhou

We find that the lepton flavor mixing matrix $U$ should possess a partial $\mu$-$\tau$ permutation symmetry $|U^{}_{\mu 1}| = |U^{}_{\tau 1}|$, and the latter predicts a novel correlation between the Dirac CP-violating phase $\delta$ and…

High Energy Physics - Phenomenology · Physics 2014-09-01 Zhi-zhong Xing , Shun Zhou
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