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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 consider a number of forms of $U_{\nu}$ associated…

High Energy Physics - Phenomenology · Physics 2015-02-03 S. T. Petcov

Assuming that the observed pattern of 3-neutrino mixing is related to the existence of a (lepton) flavour symmetry, corresponding to a non-Abelian discrete symmetry group $G_f$, and that $G_f$ is broken to specific residual symmetries $G_e$…

High Energy Physics - Phenomenology · Physics 2015-12-23 I. Girardi , S. T. Petcov , Alexander J. Stuart , A. V. Titov

The Tri-Bi-Maximal pattern has been long investigated as the symmetric scenario that lies behind the neutrino mixing matrix. It predicts a null reactor angle and hence forbids $CP$ violation in the lepton sector, which is in contrast to the…

High Energy Physics - Phenomenology · Physics 2021-03-17 Diana C. Rivera-Agudelo , S. L. Tostado

We find using the minimal left-right symmetric model that the presence of leptonic CP violation can radiatively generate a strong CP phase at the one-loop level itself, which can be beyond the current bounds established by the neutron…

High Energy Physics - Phenomenology · Physics 2015-04-29 Ravi Kuchimanchi

Non-zero leptonic CP phases in the neutrino sector are clear evidence for physics beyond the Standard Model and have many implications in particle physics and cosmology. Some clues to maximal Dirac CP violation $\delta_{CP}=3\pi/2$ are…

High Energy Physics - Phenomenology · Physics 2017-10-17 Ying Zhang

There is a wide class of models which give a dynamical description of the origin of flavour in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing…

High Energy Physics - Phenomenology · Physics 2016-05-30 Martin Spinrath

We consider the perturbatively modified tribimaximal (or bimaximal) mixing to estimate the (Dirac-type) CP phase in neutrino mixing matrix. The expressions for the CP phase are derived from the equivalence between the standard…

High Energy Physics - Phenomenology · Physics 2015-06-22 Sin Kyu Kang , C. S. Kim

We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefan Antusch , Steve F. King

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 study the CP violation in the deviation from the tri-bimaximal mixing (TBM) of neutrinos. We examine non-trivial relations among the mixing angles and the CP violating Dirac phase in the typical four cases of the deviation from the TBM.…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yusuke Shimizu , Morimitsu Tanimoto , Kei Yamamoto

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 discuss the minimal seesaw model for the Dirac CP violating phase of the lepton mixing matrix. We introduce two right-handed Majorana neutrinos and obtain several textures of the tri-maximal lepton mixing matrices. Moreover, we discuss…

High Energy Physics - Phenomenology · Physics 2018-05-09 Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto

Cobimaximal mixing predicts $\pi/4$ and $3\pi/2$ for the atmospheric angle and the Dirac CP-violating phase, respectively. These values are in tension with the neutrino globals fits. If this pattern was behind the lepton mixings, then it…

High Energy Physics - Phenomenology · Physics 2024-07-04 Juan Carlos Gómez-Izquierdo , Asahel Enrique Pozas Ramírez

We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2 \times H^\nu_{\rm CP}$ symmetries in the charged lepton and neutrino…

High Energy Physics - Phenomenology · Physics 2017-12-07 J. T. Penedo , S. T. Petcov , A. V. Titov

The non-zero Dirac phases $\delta^q$ and $\delta^l$ in the CKM and PMNS mixing matrices signify CP violation. In general they are independent. Experimental data including recent T2K results show, however, that in the original KM…

High Energy Physics - Phenomenology · Physics 2020-07-01 Junxing Pan , Jin Sun , Xiao-Dong Ma , Xiao-Gang He

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

We provide a classification of generalized CP symmetries preserved by the neutrino mass matrix according to the number of zero entries in the associated transformation matrix. We determine the corresponding constrained form of the lepton…

High Energy Physics - Phenomenology · Physics 2016-08-10 Peng Chen , Gui-Jun Ding , Felix Gonzalez-Canales , J. W. F. Valle

We discuss the relation between the CP violation of the quark mixing and that of the lepton mixing by investigating a CP violating observable, the Jarlskog invariant, as well as the CP violating Dirac phase. The down-type quark mass matrix…

High Energy Physics - Phenomenology · Physics 2019-05-01 Yusuke Shimizu , Kenta Takagi , Shunya Takahashi , Morimitsu Tanimoto

We consider charged lepton correction to Tri-bimaximal(TBM) neutrino mixing, defined by the relation $U_{PMNS}=U^{\dagger}_l U_{TB}$ and find possible form of $U_l$ which can impart non-zero value of $\sin \theta_{13}$ as well as $\tan^2…

High Energy Physics - Phenomenology · Physics 2012-11-01 Chandan Duarah , Abhijeet Das , N. Nimai Singh

The CP violation required in leptogenesis may have different origin, but in an effective theory they all are related to the rephasing invariant CP violating measure in the mixing matrix of the leptonic sector. We point out that the maximum…

High Energy Physics - Phenomenology · Physics 2011-09-16 Yong Liu , Utpal Sarkar