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We propose a novel origin for the disparity between quark and lepton flavor mixing based on the refractive nature of neutrino masses. We postulate that the fundamental mixing in both the quark and lepton sectors is CKM-like, together with…

High Energy Physics - Phenomenology · Physics 2026-01-22 Susobhan Chattopadhyay , Yuber F. Perez-Gonzalez , Manibrata Sen

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

In this paper, we show how the mixing angles of the standard parameterization add when multiplying the quark and leptonic mixing matrices, i.e., we derive explicit sum rules for the quark and leptonic mixing angles. In this connection, we…

High Energy Physics - Phenomenology · Physics 2009-11-11 Tommy Ohlsson

In this paper, we survey the analytic structure of the MNS matrix with diagonal reflection symmetries. If the mass matrix of charged leptons $m_{e}$ is hierarchical (i.e., $|(m_{e})_{33}| \simeq m_{\tau} \gg |(m_{e})_{1i , j1}|$), by…

High Energy Physics - Phenomenology · Physics 2025-09-09 Masaki J. S. Yang

Tri/bi-maximal mixing (TBM) is a specific lepton mixing ansatz, which describes the trend of the current neutrino oscillation data, in particular the recent SNO and KAMLAND results. The significant feature of TBM in this respect is…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. F. Harrison , W. G. Scott

Based on an approach to quark and lepton masses, where the mass spectra originate in vacuum expectation values of U(3) flavor nonet (gauge singlet) scalars, neutrino masses and mixing are investigated. As an offshoot of this approach, it is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yoshio Koide

Understanding the structure of the fermion mixing matrices is an important question in particle physics. The quark mixing matrix is approximately diagonal while the lepton mixing matrix has large off-diagonal elements. Attempting to…

High Energy Physics - Phenomenology · Physics 2021-02-09 Peter B. Denton

Investigating the CKM matrix in different parametrization schemes, it is noticed that those schemes can be divided into a few groups where the sine values of the CP phase for each group are approximately equal. Using those relations,…

High Energy Physics - Phenomenology · Physics 2016-03-10 Hong-Wei Ke , Song-Xue Zhao , Xue-Qian Li

Many unified models predict two large neutrino mixing angles, with the charged lepton mixing angles being small and quark-like, and the neutrino masses being hierarchical. Assuming this, we present simple approximate analytic formulae…

High Energy Physics - Phenomenology · Physics 2010-04-15 Stefan Antusch , Stephen F. King , Michal Malinsky

An analysis of the leptonic texture for the new triangular mass matrices has been carried out. In particular, it is shown that both bimaximal and nearly bimaximal solutions for solar and atmospheric neutrino anomalies can be generated…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. B. Benaoum , S. Nasri

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- $\theta_{12}, \theta_{23}, \theta_{13}$ and Dirac…

High Energy Physics - Phenomenology · Physics 2019-05-21 Chandan Duarah

Formation of quark and lepton mass matrices through intermediate states of heavy mirror fermions is capable of reproducing main qualitative properties of weak mixing matrices (CKM and PMNS matrices). The reproduction includes the hierarchy…

High Energy Physics - Phenomenology · Physics 2019-05-22 Igor T. Dyatlov

A model of symmetry violation is described for a system that can spontaneously choose the left-handed or right-handed character of weak currents. For the hierarchic structure of fermion mass spectra, such a mirror symmetry system allows…

High Energy Physics - Phenomenology · Physics 2023-03-28 Igor T. Dyatlov

We assume that all quark and lepton $3 \times 3$ mass matrices which appear in the standard model lagrangian (after spontaneous symmetry breaking) with neutrinos treated as Dirac patricles have the triangular form. Such matrices have not…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Tatur , J. Bartelski

General structures of the charged lepton and the neutrino mixing matrices leading to tri-bimaximal leptonic mixing are determined. These are then integrated into an SO(10) model within which detailed fits to fermion masses and mixing angles…

High Energy Physics - Phenomenology · Physics 2011-10-10 Anjan S. Joshipura , Ketan M. Patel

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

We examine relation between neutrino oscillation parameters and prediction of lepton flavor violation, in light of deviations from tri-bimaximal mixing. Our study shows that upcoming experimental searches for lepton flavor violation process…

High Energy Physics - Phenomenology · Physics 2010-04-15 Kentaro Kojima , Hideyuki Sawanaka

Current neutrino oscillation data indicate that the 3x3 lepton flavor mixing matrix V is likely to be symmetric about its V_{e3}-V_{\mu 2}-V_{\tau 1} axis. This off-diagonal symmetry corresponds to three pairs of {\it congruent} unitarity…

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

We postulate that the neutrino mass matrix in the lepton flavour basis is an S3 group matrix in the natural representation of S3. This immediately requires one neutrino to be trimaximally mixed, as suggested by the solar neutrino data. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. F. Harrison , W. G. Scott

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Harald Fritzsch , Zhi-zhong Xing