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A complete review of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and of the experimental methods for their determination is presented. A critical analysis of the relevant experimental results, and in particular of the most recent…

We explore a framework for the computation of quark mass ratios and CKM mixing angles based on an SU(3) family gauge symmetry. The four ratios md/mb, ms/mb, mu/mt, and mc/mt can be fit at one-loop in the family gauge interaction. The same…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas Appelquist , Yang Bai , Maurizio Piai

We give a procedure to construct a special class of symmetric quark mass matrices near the democratic limit of equal Yukawa couplings for each sector. It is shown that within appropriate weak-bases, the requirements of symmetry and…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. I. Silva-Marcos

The angles of all unitarity triangles of the Cabibbo-Kobayashi-Maskawa matrix are determined from the experimental data. Our analysis is independent of the parameterization of the CKM matrix and it is based on the predictions of the…

High Energy Physics - Phenomenology · Physics 2022-12-07 S. Rebeca Juárez Wysozka , Piotr Kielanowski , Liliana Vazquez Mercado

In this letter, we demonstrate that products of third-order rephasing invariants $V_{\alpha i} V_{\beta j} V_{\gamma k} / \det V$ of flavor mixing matrix $V$ reproduce all the nine angles of unitarity triangles and all the CP phases in the…

High Energy Physics - Phenomenology · Physics 2025-10-28 Masaki J. S. Yang

The values of the elements of the Cabibbo-Kobayashi-Maskawa matrix are constrained by direct and indirect measurements. A fit to experimental data and theory calculations allows the indirect determination of the vertex and angles of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Salvatore Mele

We construct a texture where the Seesaw matrix is diagonalized by the TriBiMaximal (TBM) matrix with a phase. All CKM and PMNS angles are within their pdg values, and the mass relations of quarks and charged leptons extrapolated to GUT…

High Energy Physics - Phenomenology · Physics 2018-10-03 Moinul Hossain Rahat , Pierre Ramond , Bin Xu

In this presentation, I review the status of selected Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and their role in the Unitarity Triangle (UT). Since this conference concluded, many new results have been finalized and are included in…

High Energy Physics - Phenomenology · Physics 2010-11-23 Helmut Marsiske

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 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

The recent analysis of the electroweak data at CDF indicates that the constraint on the top quark mass is $m_t=174\pm 17 $GeV. We accommodate this result in a new scheme of quark mass matrices in which two elements along the the leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dan Karmgard , Subhash Rajpoot

We perform a $1/m_b$ and $1/m_t$ expansion of the Cabibbo-Kobayashi- Maskawa mixing matrix. Data suggest that the dominant parts of the Yukawa couplings are factorizable into sets of numbers $\vert r>$, $\vert s>$, and $\vert s'>$,…

High Energy Physics - Phenomenology · Physics 2010-11-01 York-Peng Yao

An algebraic approach is used to derive symmetry relations for the parameterization of the three neutrino mixing matrix. The symmetry relations imply bounds on the mixing angles. Including a CP violating phase $\delta$, the mixing angles…

Nuclear Theory · Physics 2007-05-23 D. C. Latimer , D. J. Ernst

A simple breaking of the subnuclear democracy among the quarks leads to a mixing between the second and the third family, in agreement with observation. Introducing the mixing between the first and the second family, one finds an…

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

We study the linking between the CP violating phase of the lepton sectors and the unitarity triangle of the B0 meson system. Antusch, King, Malinsky and Spinrath have shown that the quark mass matrices with the negligible 1-3 mixing give an…

High Energy Physics - Phenomenology · Physics 2015-06-23 Morimitsu Tanimoto , Kei Yamamoto

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

We discuss a possible solution to the strong CP problem which is based on spontaneous CP violation and discrete symmetries. At the same time we predict in a simple way the almost right-angled quark unitarity triangle angle ($\alpha \simeq…

High Energy Physics - Phenomenology · Physics 2015-06-09 Martin Spinrath

Motivated by the recent determination of the top quark mass by the CDF collaboration, $\mt =174 \pm 10 ^{+13}_{-12}$ GeV, we review and update the constraints on the parameters of the quark flavour mixing matrix $V_{CKM}$ in the standard…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. Ali , D. London

In this work, the postulation that weak CP phase originates in a certain geometry, is further discussed. Some intrinsic and strict constraints on the mixing angles, weak CP phase, and the Wolfenstein's parameters $\rho$ and $\eta$ are given…

High Energy Physics - Phenomenology · Physics 2010-11-19 Yong Liu

We discuss the relation between the CP violation of the quark mixing and that of the lepton mixing by investigating a CP violating observable, the Jarlskog invariant, as well as the CP violating Dirac phase. The down-type quark mass matrix…

High Energy Physics - Phenomenology · Physics 2019-05-01 Yusuke Shimizu , Kenta Takagi , Shunya Takahashi , Morimitsu Tanimoto