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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

Starting with high scale mixing unification hypothesis, we investigate the renormalization group evolution of mixing parameters and masses for Dirac type neutrinos. Following this hypothesis, the PMNS mixing angles and phase are taken to be…

High Energy Physics - Phenomenology · Physics 2015-07-01 Gauhar Abbas , Saurabh Gupta , G. Rajasekaran , Rahul Srivastava

We propose an $A_4$ modular invariant flavor model of leptons, in which both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus $\tau$. The value of the modulus $\tau$ is restricted by the…

High Energy Physics - Phenomenology · Physics 2021-08-18 Hiroshi Okada , Yusuke Shimizu , Morimitsu Tanimoto , Takahiro Yoshida

We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on $3\nu$ mixing schemes in which the cosine of the Dirac CP violation phase $\delta_\mathrm{CP}$…

High Energy Physics - Phenomenology · Physics 2018-04-11 Sanjib Kumar Agarwalla , Sabya Sachi Chatterjee , S. T. Petcov , A. V. Titov

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 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 show that the commutator of lepton mass matrices is invariant under terrestial matter effects in the four-neutrino mixing scheme. A set of model-independent sum rules for neutrino masses, which may be generalized to hold for an arbitrary…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhi-zhong Xing

In this paper, realistic CPT-symmetric united at substance quark and neutrino mixing matrices are studied by the idea that they are shifted from respectively unit and bimaximal benchmark matrices by one new small universal empirical…

General Physics · Physics 2010-07-06 E. M. Lipmanov

The pattern of lepton mixing can emerge from breaking a flavor symmetry in different ways in the neutrino and charged lepton Yukawa sectors. In this framework, we derive the conditions imposed on the mixing matrix by the structure of…

High Energy Physics - Phenomenology · Physics 2013-05-30 D. Hernandez , A. Yu. Smirnov

In this paper, we derive in a novel approach the possible textures of neutrino mass matrix that can lead to maximal atmospherical mixing angle ($\theta^{}_{23} = \pi/4$) and Dirac CP phase ($\delta = - \pi/2$) in two phenomenologically…

High Energy Physics - Phenomenology · Physics 2019-05-08 Zhi-Cheng Liu , Chong-Xing Yue , Zhen-hua Zhao

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 recent observation of the smallest neutrino mixing angle $\theta_{13}$ in the Daya Bay and RENO experiments motivates us to examine whether $\theta_{13} \simeq 9^\circ$ at the electroweak scale can be generated from $\theta_{13} =…

High Energy Physics - Phenomenology · Physics 2015-06-04 Shu Luo , Zhi-zhong Xing

The observation of neutrino masses leads to the possibility of leptonic mixing and CP violation. One of the simplest extensions of the Standard Model giving rise to neutrino masses consists of the introduction of one righthanded neutrino…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. N. Rebelo

One of the fundamental parameters entering neutrino oscillation framework is the leptonic CP phase $\delta_{13}$ and its measurement is an important goal of the planned long baseline experiments. It should be noted that ordinary matter…

High Energy Physics - Phenomenology · Physics 2017-05-03 Jogesh Rout , Mehedi Masud , Poonam Mehta

We revisit the effect of the (Dirac) CP-violating phase on neutrino lepton number asymmetries in both mass- and flavor-basis. We found that, even if there are sizable effects on muon- and tau-neutrino asymmetries, the effect on the…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Gabriela Barenboim , Wan-Il Park

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

Current neutrino data are consistent with the so-called tribimaximal mixing scenario, which predicts \sin^2 \theta_{12}=1/3, zero U_{e3} and maximal \theta_{23}. This implies a special form of the neutrino mass matrix. Introducing small…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. Plentinger , W. Rodejohann

The neutrino masses and mixings indicated by current neutrino oscillation experiments suggest that the neutrino mass matrix possesses an approximate $\mu-\tau$ exchange symmetry. In this study, we explore the neutrino parameter space and…

High Energy Physics - Phenomenology · Physics 2016-07-01 Diana C. Rivera-Agudelo , Abdel Pérez-Lorenzana

In the light of recent experimental results on $\theta_{13}^{pmns}$, we re-investigate the complementarity between the quark and lepton mixing matrices and obtain predictions for most unsettled neutrino mixing parameters like…

High Energy Physics - Phenomenology · Physics 2016-08-23 Gazal Sharma , B. C. Chauhan

We present a formula for the Dirac CP phase $\delta = \arg ( U_{e1} U_{e2} U_{\mu 3} U_{\tau 3} / U_{e3} \det U_{\rm MNS} )$, directly derived from the lepton mixing matrix in an arbitrary basis of phases. In contrast to the numerically…

High Energy Physics - Phenomenology · Physics 2025-08-07 Masaki J. S. Yang