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Related papers: Unified parametrization of quark and lepton mixing…

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It is argued taking into account the observed mass spectra of the leptons and quarks that the phenomenon of flavor mixing is intimately related to the mass spectra. We discuss a particularly interesting way to describe the flavor mixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harald Fritzsch

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Lam

As an attempt to give an unified description of quark and lepton mass matrices M_f, the following mass matrix form is proposed: the form of the mass matrices are invariant under a cyclic permutation (f_1 \to f_2, f_2 \to f_3, f_3 \to f_1)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshio Koide

A new ansatz for quark and lepton mass matrices is proposed in the context of supersymmetric grand unified theories. The 13 parameters describing fermion masses and mixings are determined in terms of only 6 free parameters, allowing 7…

High Energy Physics - Phenomenology · Physics 2010-11-01 Gian F. Giudice

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 propose a mass matrix model that gives a unified description of quark and lepton with the same texture form based on a flavor 2 <-> 3 symmetry. The model is in contrast with the conventional picture that the mass matrix forms in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Koichi Matsuda , Hiroyuki Nishiura

In view of the observed strong hierarchy of the quark and lepton masses and of the flavor mixing angles it is argued that the description of flavor mixing must take this into account. One particular interesting way to describe the flavor…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harald Fritzsch

It is shown that an idea proposed in 1996 that relates in a qualitatively correct way the inter-family mass hierarchies of the up quarks, down quarks, charged leptons, and neutrinos, can be combined with a predictive scheme recently…

High Energy Physics - Phenomenology · Physics 2016-03-23 S. M. Barr , Heng-Yu Chen

On the level of phenomenology unification-type idea of a basic connection between dimensionless mass and charge quantities requires particle mass copies and therefore is interesting as raison d'etre for particle flavor (degree of freedom).…

General Physics · Physics 2011-02-01 E. M. Lipmanov

It has been recognized recently that there is a remarkable empirical relation between lepton and quark mixing angles, theta_{12} + theta_C \approx pi/4. If not accidental, it should testify for yet uncovered new relationship between the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisakazu Minakata

Although different parametrizations of quark mixing matrix are mathematically equivalent, the consequences of experimental analysis may be distinct. Based on the triminimal expansion of Kobayashi-Maskawa matrix around the unit matrix, we…

High Energy Physics - Phenomenology · Physics 2011-01-27 Nan Qin , Bo-Qiang Ma

Flavor transitions via the charged current interactions are parametrized by a three dimensional and unitary transformation. This so called mixing matrix requires of four mixing parameters. Here we show that under the phenomenological…

High Energy Physics - Phenomenology · Physics 2016-11-23 U. J. Saldaña-Salazar

Harrison, Perkins and Scott have proposed simple charged lepton and neutrino mass matrices that lead to the tribimaximal mixing $U_{\rm TBM}$. We consider in this work an extension of the mass matrices so that the leptonic mixing matrix…

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

We point out that there is a unique parametrization of quark flavor mixing in which every angle is close to the Cabibbo angle \theta_C \simeq 13^\circ with the CP-violating phase \phi_q around 1^\circ, implying that they might all be…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jean-Marc Gerard , Zhi-zhong Xing

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

We comment on the exponential parameterization of the quark mixing matrix, by stressing that it naturally incorporates the Cabibbo structure and the hierarchical features of the Wolfenstein form. We extend our results to the neutrino mixing…

High Energy Physics - Phenomenology · Physics 2013-01-23 G. Dattoli , E. Di Palma

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

We construct a supersymmetric model for leptons and quarks with the flavor symmetry Delta(384) and CP. The peculiar features of lepton and quark mixing are accomplished by the stepwise breaking of the flavor and CP symmetry. The correct…

High Energy Physics - Phenomenology · Physics 2020-02-17 Claudia Hagedorn , Johannes König

The CKM matrix describing quark mixing with three generations can be parameterized by three mixing angles and one CP violating phase. In most of the parameterizations, the CP violating phase chosen is not a directly measurable quantity and…

High Energy Physics - Phenomenology · Physics 2015-06-04 Guan-Nan Li , Hsiu-Hsien Lin , Dong Xu , Xiao-Gang He

We present a complete set of new flavour-permutation-symmetric mixing observables. We give expressions for these "plaquette invariants", both in terms of the mixing matrix elements alone, and in terms of manifestly Jarlskog-invariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. F. Harrison , D. R. J. Roythorne , W. G. Scott