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Related papers: Leptonic Sum Rules from Flavour Models with Modula…

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We present an overview of recent progress in the phenomenological study of neutrino masses, lepton flavor mixing and CP violation. We concentrate on the model-independent properties of massive neutrinos, both in vacuum and in matter.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Zhi-zhong Xing

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 neutrino mixing sum rule $\theta_{12} - \theta_{13}\cos(\delta) \approx \theta^\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. Antusch , P. Huber , S. F. King , T. Schwetz

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

Models of leptonic flavour with discrete symmetries can provide an attractive explanation of the pattern of elements found in the leptonic mixing matrix. The next generation of neutrino oscillation experiments will allow the mixing…

High Energy Physics - Phenomenology · Physics 2015-06-19 Peter Ballett , Stephen F. King , Christoph Luhn , Silvia Pascoli , Michael A. Schmidt

Neutrino oscillation experiments have confirmed that neutrinos are massive particles and lepton flavors are mixed. To explain the observed lepton mass spectra and flavor mixing patterns, flavor symmetry plays a crucial and unique role. In…

High Energy Physics - Phenomenology · Physics 2025-12-10 Chang-Qi Hu , Chun-Yuan Li , Xiao Liang , Xing-Hua Yang , Dai-Xing Zhang

A simple Standard Model Extension based on $T_7$ flavor symmetry which accommodates lepton mass and mixing with non-zero $\theta_{13}$ and CP violation phase is proposed. At the tree- level, the realistic lepton mass and mixing pattern is…

High Energy Physics - Phenomenology · Physics 2019-05-01 V. V. Vien , H. N. Long

Neutrino mass sum rules have recently gained again more attention as a powerful tool to discriminate and test various flavour models in the near future. A related question which was not yet discussed fully satisfactorily was the origin of…

High Energy Physics - Phenomenology · Physics 2017-05-09 Julia Gehrlein , Martin Spinrath

In this paper, we investigate lepton mass spectra, flavor mixing and CP violation with a modular $S^{}_4$ symmetry under the assumption that neutrinos are Dirac fermions. We find that the Majorana mass term can be forbidden by adjusting the…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xin Wang

We study a neutrino mass model based on $S_4$ flavor symmetry which accommodates lepton mass, mixing with non-zero $\theta_{13}$ and CP violation phase. The spontaneous symmetry breaking in the model is imposed to obtain the realistic…

High Energy Physics - Phenomenology · Physics 2016-04-20 V. V. Vien

Neutrino mixing sum rules are common to a large class of models based on the (discrete) symmetry approach to lepton flavour. In this approach the neutrino mixing matrix $U$ is assumed to have an underlying approximate symmetry form…

High Energy Physics - Phenomenology · Physics 2016-11-28 J. Gehrlein , S. T. Petcov , M. Spinrath , A. V. Titov

We study the implications of having a similarity between quark and lepton mixing in the Dirac sector of the Standard Model plus the right-handed neutrino. This enable us to describe all masses and mixings in the Dirac sector in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Falcone

The existence of the neutrino masses and mixing would be an important window into the nature of physics beyond the Standard Model, which will be searched for in the forthcoming experiments such as LHC. In this talk, we discuss some examples…

High Energy Physics - Phenomenology · Physics 2009-11-11 Eung Jin Chun

Since the discovery of neutrino oscillations many ideas have been put forward to explain the special features of the leptonic mixing and the differences with respect to the quark sector. In this talk I review some of these proposals,…

High Energy Physics - Phenomenology · Physics 2017-10-11 Ferruccio Feruglio

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

Status of the discrete symmetry approach to explanation of the lepton masses and mixing is summarized in view of recent experimental results, in particular, establishing relatively large 1-3 mixing. The lepton mixing can originate from…

High Energy Physics - Phenomenology · Physics 2013-05-22 Alexei Y. Smirnov

Using discrete flavour group, $A_5$, combined with generalised CP, we study the mixing parameter correlations which arise from breaking to residual symmetries in the neutrino, $G_{\nu}=\mathbb{Z}_2\times \text{CP}$, and charged lepton…

High Energy Physics - Phenomenology · Physics 2015-12-23 Jessica Turner

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

I follow a lesson learnt from Heisenberg's matrix Quantum Mechanics to study the property of lepton flavor mixing and CP violation. I show that the commutator of lepton mass matrices defined in vacuum keeps invariant under terrestrial…

High Energy Physics - Phenomenology · Physics 2015-06-25 Zhi-zhong Xing

The neutrino mass matrix has remnant CP symmetry expressed in terms of the lepton mixing matrix, and vice versa the remnant CP transformations allow us to reconstruct the mixing matrix. We study the scenario that all the four remnant CP…

High Energy Physics - Phenomenology · Physics 2015-10-07 Peng Chen , Chang-Yuan Yao , Gui-Jun Ding