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Oscillations of the Dirac neutrinos of three generations in vacuum are considered with allowance made for the effect of the CP-violating leptonic phase (analogue of the quark CP phase) in the lepton mixing matrix. The general formulas for…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. A. Ryzhikh , K. A. Ter-Martirosyan

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

The recent discovery of a non-zero value of the mixing angle theta_13 has ruled out tri-bimaximal mixing as the correct lepton mixing pattern generated by some discrete flavor symmetry (barring large next-to-leading order corrections in…

High Energy Physics - Phenomenology · Physics 2013-04-03 Martin Holthausen , Kher Sham Lim , Manfred Lindner

The standard model of leptons is extended to accommodate a discrete Z_3 X Z_2 family symmetry. After rotating the charged-lepton mass matrix to its diagonal form, the neutrino mass matrix reveals itself as very suitable for explaining…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ernest Ma

We build the first 3-3-1 model based on the $\Delta (27)$ discrete group symmetry, consistent with fermion masses and mixings. In the model under consideration, the neutrino masses are generated from a combination of type-I and type-II…

High Energy Physics - Phenomenology · Physics 2016-12-21 V. V. Vien , A. E. Cárcamo Hernández , H. N. Long

We present the correlation of low energy CP phases, both Dirac and Majorana, and the lepton asymmetry for the baryon asymmetry in the universe, with a certain class of Yukawa matrices that consist of two right-handed neutrinos and include…

High Energy Physics - Phenomenology · Physics 2009-09-29 Song-Haeng Lee , Kim Siyeon

We propose a unique lepton mixing scheme and its association with an exact hierarchy-philic neutrino mass matrix texture in the light of Type-I+Type-II seesaw mechanism under the framework of $A_4 \times Z_{10}$ discrete flavour symmetry.…

High Energy Physics - Phenomenology · Physics 2024-07-24 Manash Dey , Subhankar Roy

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

The lepton sector is studied within a flavored non-renormalizable model where the $\mathbf{S}_{3}\otimes \mathbf{Z}_{2}$ flavor symmetry drives the Yukawa couplings. In this framework, the effective neutrino mass, that comes from the type…

High Energy Physics - Phenomenology · Physics 2022-06-17 J. D. García-Aguilar , Juan Carlos Gómez-Izquierdo

We show that in a recently proposed $S_3$ model for tri-bimaximal mixing pattern for neutrinos, CP violating phases in neutrino mixings are directly responsible for lepton asymmetry $\epsilon_\ell$. In the exact tri-bimaximal limit,…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Mohapatra , Hai-Bo Yu

We study lepton mixing patterns which can be derived from the $A_5$ family symmetry and generalized CP. We find five phenomenologically interesting mixing patterns for which one column of the PMNS matrix is…

High Energy Physics - Phenomenology · Physics 2015-03-13 Cai-Chang Li , Gui-Jun Ding

We present a classification of possible parametrizations of the 3x3 lepton flavor mixing matrix in terms of the rotation and phase angles. A particular parametrization, which is most convenient to describe the observables of neutrino…

High Energy Physics - Phenomenology · Physics 2014-11-17 Harald Fritzsch , Zhi-zhong Xing

We study lepton mixing patterns which are derived from finite modular groups Gamma_N, requiring subgroups G_nu and G_e to be preserved in the neutrino and charged lepton sectors, respectively. We show that only six groups Gamma_N with…

High Energy Physics - Phenomenology · Physics 2015-06-03 Reinier de Adelhart Toorop , Ferruccio Feruglio , Claudia Hagedorn

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

Discrete residual symmetries and flavour dependent CP symmetries consistent with them have been used to constrain neutrino mixing angles and CP violating phases. We discuss here role of such CP symmetries in obtaining a pseudo-Dirac…

High Energy Physics - Phenomenology · Physics 2018-07-25 Anjan S. Joshipura , Ketan M. Patel

We present a model which employs $CP\times Z_3$ symmetries where quark mixing and charged leptons masses are explained by following some texture. To achieve neutrino mass and mixing, we write a non-renormalizable Lagrangian using type-II…

High Energy Physics - Phenomenology · Physics 2022-07-13 Joy Ganguly

The search for possible mixing patterns of charged leptons and neutrinos is important to get clues of the origin of nearly maximal mixings, since there are some preferred bases of the lepton mass matrices given by underlying theories. We…

High Energy Physics - Phenomenology · Physics 2016-11-23 N. Haba , J. Sato , M. Tanimoto , K. Yoshioka

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

The $\mu-\tau$ reflection symmetry of the lepton mixing matrix accommodates maximal atmospheric mixing ($\theta_{23}=\pi/4$) as well as maximal Dirac CP phase ($\delta=\pm \pi/2$) for the Dirac case. In the standard parametrization of the…

High Energy Physics - Phenomenology · Physics 2021-04-02 Chandan Duarah

We consider the $A_4$, $S_4$ and $A_5$ discrete lepton flavour symmetries in the case of 3-neutrino mixing, broken down to non-trivial residual symmetries in the charged lepton and neutrino sectors in such a way that at least one of them is…

High Energy Physics - Phenomenology · Physics 2018-07-04 S. T. Petcov , A. V. Titov
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