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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

We explore the theoretical constraints on the observable parameters of neutrino mixing on predictions for the leptonic Dirac CP-violating phase within a well-studied class of simple theoretical models that includes a single source of CP…

High Energy Physics - Phenomenology · Physics 2022-10-06 Lisa L. Everett , Raymundo Ramos , Ariel B. Rock , Alexander J. Stuart

We derive predictions for the Dirac phase $\delta$ present in the $3\times 3$ unitary neutrino mixing matrix $U = U_e^{\dagger} \, U_{\nu}$, where $U_e$ and $U_{\nu}$ are $3\times 3$ unitary matrices which arise from the diagonalisation,…

High Energy Physics - Phenomenology · Physics 2015-11-10 I. Girardi , S. T. Petcov , A. V. Titov

Sum rules in the lepton sector provide an extremely valuable tool to classify flavour models in terms of relations between neutrino masses and mixing parameters testable in a plethora of experiments. In this manuscript we identify new…

High Energy Physics - Phenomenology · Physics 2021-03-22 Julia Gehrlein , Martin Spinrath

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

We update and improve past efforts to predict the leptonic Dirac CP-violating phase with models that predict perturbatively modified tribimaximal or bimaximal mixing. Simple perturbations are applied to both mixing patterns in the form of…

High Energy Physics - Phenomenology · Physics 2022-11-23 Yang Hwan Ahn , Sin Kyu Kang , Raymundo Ramos , Morimitsu Tanimoto

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 sum rules which the Dirac phase $\delta$…

High Energy Physics - Phenomenology · Physics 2015-04-24 I. Girardi , S. T. Petcov , A. V. Titov

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 present a model-independent analysis of Leptonic CP violation for some well known mixing scenarios. In particular, we considered modified schemes for Bimaximal(BM), Democratic(DC), Hexagonal(HG) and Tribimaixmal(TBM) mixing for our…

High Energy Physics - Phenomenology · Physics 2021-07-15 Sumit K. Garg

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

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 study effects of CP violation in a modified bipair neutrino mixing scheme predicting $\sin^2\theta_{23}$ near both 0.4 and 0.6 currently consistent with experimentally allowed values. The source of CP violation is supplied by charged…

High Energy Physics - Phenomenology · Physics 2015-06-19 Jun Iizuka , Yoshikazu Kaneko , Teruyuki Kitabayashi , Naoto Koizumi , Masaki Yasue

In this work, we have modified a scenario, originally proposed by Grimus and Lavoura, in order to obtain maximal values for atmospheric mixing angle and CP violating Dirac phase of the lepton sector. To achieve this, we have employed CP and…

High Energy Physics - Phenomenology · Physics 2022-10-05 Joy Ganguly , Raghavendra Srikanth Hundi

We consider minimal modifications to tribimaximal (TBM) mixing matrix which accommodate non-zero mixing angle $\theta_{13}$ and CP violation. We derive four possible forms for the minimal modifications to TBM mixing in a model with $A_4$…

High Energy Physics - Phenomenology · Physics 2015-04-16 Sin Kyu Kang , Morimitsu Tanimoto

Recently, the reactor mixing angle $\theta_{13}$ has been measured precisely by Daya Bay, RENO and T2K experiments with a moderately large value. However, the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal,…

High Energy Physics - Phenomenology · Physics 2015-09-02 Sruthilaya M. , Soumya C. , K. N. Deepthi , R. Mohanta

We consider a parametrization of the lepton mixing matrix in which the deviations from maximal atmospheric mixing and vanishing reactor mixing are obtained in terms of small corrections from the charged lepton sector. Relatively large…

High Energy Physics - Phenomenology · Physics 2012-02-17 S. Dev , Shivani Gupta , Radha Raman Gautam

The current status of our knowledge of the 3-neutrino mixing parameters and of the CP violation in the lepton sector is summarised. The discrete symmetry approach to understanding the observed pattern of neutrino mixing and the related…

High Energy Physics - Phenomenology · Physics 2018-09-26 S. T. Petcov

We study the linking between the CP violating phase of the lepton sectors and the unitarity triangle of the B0 meson system. Antusch, King, Malinsky and Spinrath have shown that the quark mass matrices with the negligible 1-3 mixing give an…

High Energy Physics - Phenomenology · Physics 2015-06-23 Morimitsu Tanimoto , Kei Yamamoto

We review the current status of the data on neutrino masses and lepton mixing and the prospects for measuring the CP-violating phases in the lepton sector. The possible connection between low energy CP violation encoded in the Dirac and…

High Energy Physics - Phenomenology · Physics 2018-03-05 C. Hagedorn , R. N. Mohapatra , E. Molinaro , C. C. Nishi , S. T. Petcov

The simple correlation among three lepton flavor mixing angles $(\theta^{}_{12}, \theta^{}_{13}, \theta^{}_{23})$ and the leptonic Dirac CP-violating phase $\delta$ is conventionally called a sum rule of lepton flavor mixing, which may be…

High Energy Physics - Phenomenology · Physics 2016-08-09 Jue Zhang , Shun Zhou
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