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We present a unified parametrization of quark and lepton mixing matrices. By using some simple relations between the mixing angles of quarks and leptons, i.e., the quark-lepton complementarity, we parametrize the lepton mixing matrix with…

High Energy Physics - Phenomenology · Physics 2011-04-12 Nan Li , Bo-Qiang Ma

We investigate a general structure of lepton mixing matrix resulting from the SU$_F$(3) gauge family model with an appropriate vacuum structure of SU$_F$(3) symmetry breaking. It is shown that the lepton mixing matrix can be parametrized by…

High Energy Physics - Phenomenology · Physics 2015-06-19 Zhuo Liu , Yue-Liang Wu

We parametrize lepton mixing matrix, known as PMNS matrix, in terms of three parameters which account deviations of three mixing angles from their bi-maximal or tri-bimaximal values. On the basis of this parametrization we can determine…

High Energy Physics - Phenomenology · Physics 2015-03-27 Chandan Duarah , K. Sashikanta Singh , N. Nimai Singh

After the successful investigation and confirmation of non zero $\theta_{13}^{PMNS}$ by various experiments, we are standing at a square where we still encounter a number of issues, which are to be settled. In this paper, we have extended…

High Energy Physics - Phenomenology · Physics 2018-06-27 Gazal Sharma , Shankita Bhardwaj , B. C. Chauhan , Surender Verma

The complementarity between the quark and lepton mixing matrices is shown to provide a robust prediction for the neutrino mixing angle $\theta_{13}^{PMNS}$. We obtain this prediction by first showing that the matrix $V_M$, product of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bhag C. Chauhan , Marco Picariello , Joao Pulido , Emilio Torrente-Lujan

A model is presented that fits the quark and lepton masses and mixings wherein five dimensionless parameters and a phase account for fifteen dimensionless observables. Among these are the Wolfenstein parameters $\rho$ and $\eta$, the…

High Energy Physics - Phenomenology · Physics 2011-05-12 Carl H. Albright , S. M. Barr

We show that the $3\times 3$ lepton flavor mixing matrix $V$ can be expanded in powers of a Wolfenstein-like parameter $\Lambda \equiv |V_{\mu 3}| \sim 1/\sqrt{2}$, which measures the strength of flavor conversion in atmospheric neutrino…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhi-zhong Xing

We discuss the relations between the mixing angles and the mixing matrices of quarks and leptons. With Raidal's numerical relations, we parametrize the lepton mixing (PMNS) matrix with the parameters of the quark mixing (CKM) matrix, and…

High Energy Physics - Phenomenology · Physics 2010-11-23 Nan Li , Bo-Qiang Ma

The quark-lepton complementarity (QLC) is very suggestive in understanding possible relations between quark and lepton mixing matrices. We explore the QLC relations in all the possible angle-phase parametrizations and point out that they…

High Energy Physics - Phenomenology · Physics 2010-05-12 Ya-juan Zheng

We present a detailed study on triminimal parametrizations of quark and lepton mixing matrices with different basis matrices. We start with a general discussion on the triminimal expansion of the mixing matrix and on possible unified quark…

High Energy Physics - Phenomenology · Physics 2009-04-22 Xiao-Gang He , Shi-Wen Li , Bo-Qiang Ma

We propose simple forms of neutrino mixing matrix in analogy with the Wolfenstein parametrization of quark mixing matrix, by adopting the smallest mixing angle $\theta_{13}$ as a measure of expansion parameters with the tribimaximal pattern…

High Energy Physics - Phenomenology · Physics 2013-05-30 Bo-Qiang Ma

A model-independent ansatz to describe lepton and quark mixing in a unified way is suggested based upon the Cabibbo angle. In our framework neutrinos mix in a "Bi-Large" fashion, while the charged leptons mix as the "down-type" quarks do.…

High Energy Physics - Phenomenology · Physics 2014-10-15 S. Roy , S. Morisi , N. N. Singh , J. W. F. Valle

Recent measurements of the neutrino solar mixing angle and the Cabibbo angle satisfy the empirical relation theta_{sol} + theta_{C} ~ 45^{o}. This relation suggests the existence of a correlation between the mixing matrices of leptons and…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Gonzalez-Canales , A. Mondragon

We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. Phenomenologically, we study the neutrino…

High Energy Physics - Phenomenology · Physics 2011-08-02 Nan Qin , Bo-Qiang Ma

The lepton mixing angles of the PMNS matrix are predicted based on the lepton flavor symmetry of a finite group $C_2\times D_3$, where the cyclic group $C_2$ acts on the charged lepton mass terms and the dihedral group $D_3$ on the neutrino…

High Energy Physics - Phenomenology · Physics 2013-12-06 HoSeong La

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

Recently, Qin and Ma (QM) have advocated a new Wolfenstein-like parametrization of the quark mixing matrix based on the triminimal expansion of the Cabibbo-Kobayashi-Maskawa (CKM) parametrization. The CP-odd phase in the QM parametrization…

High Energy Physics - Phenomenology · Physics 2015-05-28 Y. H. Ahn , Hai-Yang Cheng , Sechul Oh

Starting from a new zeroth order basis for quark mixing (CKM) matrix based on the quark-lepton complementarity and the tri-bimaximal pattern of lepton mixing, we derive a triminimal parametrization of CKM matrix with three small angles and…

High Energy Physics - Phenomenology · Physics 2008-12-30 Xiao-Gang He , Shi-Wen Li , Bo-Qiang Ma

We analyse how a large value of the leptonic mixing angle \theta_{13}^{MNS} can be generated via charged lepton corrections in unified flavour models, using novel combinations of Clebsch-Gordan factors for obtaining viable quark-lepton mass…

High Energy Physics - Phenomenology · Physics 2012-02-01 Stefan Antusch , Vinzenz Maurer

The recently observed lepton mixing angle $\theta_{13}$ of the MNS mixing matrix is well incorporated in a universal mixing hypothesis between quark and lepton sectors. This hypothesis asserts that, in the charged lepton diagonal base, all…

High Energy Physics - Phenomenology · Physics 2013-11-26 Takeshi Fukuyama , Hiroyuki Nishiura
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