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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

The content of physical massess, mixing angles and CP-violating phases in the lepton sector of extended standard model, both renormalizable and non-renormalizable, with arbitrary numbers of the singlet and left-handed doublet neutrinos is…

High Energy Physics - Phenomenology · Physics 2011-09-13 Yu. F. Pirogov

In the absence of a Grand Unified Theory framework, connecting the values of the mixing parameters in the quark and lepton sector is a difficult task, unless one introduces ad-hoc relations among the matrices that diagonalize such different…

High Energy Physics - Phenomenology · Physics 2024-07-03 Alessio Giarnetti , Simone Marciano , Davide Meloni

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

A Dirac neutrino mass model is proposed, based on an extended group structure of $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_3 \otimes Z_{10}$ with the Type-I seesaw mechanism. This work explores the impact of parametrization and…

High Energy Physics - Phenomenology · Physics 2025-03-27 Sagar Tirtha Goswami , Subhankar Roy

We propose a generalized version of the Tri-Bi-Maximal (TBM) ansatz for lepton mixing, leading to non-zero reactor angle $\theta_{13}$ and CP violation. The latter is characterized by two CP phases. The Dirac phase affecting neutrino…

High Energy Physics - Phenomenology · Physics 2018-09-19 Peng Chen , Salvador Centelles Chuliá , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

We revisit the possibility of relating lepton mixing angles with lepton mass hierarchies in a model-independent way. Guided by the existence of such relations in the quark sector, we first consider all the mixing angles, both in charged…

High Energy Physics - Phenomenology · Physics 2016-02-08 Debasish Borah

The quark-lepton complementarity (QLC) relations indicate a deep structure that interrelates quarks and leptons. We propose new scenarios, in a seesaw framework with discrete $A_4$ flavor symmetry, which can accommodate the QLC relations…

High Energy Physics - Phenomenology · Physics 2011-05-12 Y. H. Ahn , Hai-Yang Cheng , Sechul Oh

We construct phenomenologically viable models of lepton masses and mixing based on modular $A_4$ invariance broken to residual symmetries $\mathbb{Z}^{T}_3$ or $\mathbb{Z}^{ST}_3$ and $\mathbb{Z}^S_2$ respectively in the charged lepton and…

High Energy Physics - Phenomenology · Physics 2019-05-22 P. P. Novichkov , S. T. Petcov , M. Tanimoto

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 obtain analytical formulas which connect the neutrino masses and the leptonic mixing matrix with the entries in the mass matrix for the approximation in which the charged lepton mixing matrix is the unit matrix. We also extract the CP…

High Energy Physics - Phenomenology · Physics 2013-12-10 Renata Jora , Joseph Schechter , M. Naeem Shahid

Leptonic mixing patterns are usually extracted on the basis of groups or algebraic structures. In this paper, we introduce an alternative geometric method to study the correlations between the leptonic mixing parameters. At the 3$\sigma$…

High Energy Physics - Phenomenology · Physics 2023-02-28 Ding-Hui Xu , Shu-Jun Rong

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

We systematically investigate general forms of mass matrices for three-generation up and down quarks, including asymmetrical ones in generation space. Viable zero matrix elements are explored which are compatible with the current…

High Energy Physics - Phenomenology · Physics 2009-11-11 Nobuhiro Uekusa , Atsushi Watanabe , Koichi Yoshioka

The recent measurement of the third lepton mixing angle, \theta_{13}, has shown that, although small compared to \theta_{12} and \theta_{23}, it is much larger than anticipated in schemes that generate Tri-Bi-Maximal (TBM) or Golden Ratio…

High Energy Physics - Phenomenology · Physics 2015-06-15 L. J. Hall , G. G. Ross

We consider a scenario for the Quark-Lepton Complementarity relations between mixing angles in which the bi-maximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle \theta_{12} is \sim…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael A. Schmidt , Alexei Yu. Smirnov

The tri-bimaximal mixing matrix is most likely the leading order term in the description of leptonic mixing. We derive deviations from tri-bimaximal mixing(TBM) due to corrections from the charged lepton sector. We assume a decoupled 2-3…

High Energy Physics - Phenomenology · Physics 2008-09-17 Alakabha Datta

Lepton mixing can originate from the breaking of a flavor symmetry in different ways in the neutrino and the charged lepton sector. We propose an extension of this framework which allows to connect the mixing parameters with masses, and…

High Energy Physics - Phenomenology · Physics 2013-11-27 D. Hernandez , A. Yu. Smirnov

Contrary to the quark mixing matrix, the lepton mixing matrix could be symmetric. We study the phenomenological consequences of this possibility. In particular, we find that symmetry would imply that |U_{e3}| is larger than 0.16, i.e.,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kathrin A. Hochmuth , Werner Rodejohann

I introduce a simple phenomenological model of lepton flavor mixing and CP violation based on the flavor democracy of charged leptons and the mass degeneracy of neutrinos. The nearly bi-maximal mixing pattern, which can interpret current…

High Energy Physics - Phenomenology · Physics 2009-10-31 Zhi-zhong Xing
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