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In the quark sector, Jarlskog rephasing invariant parameter $J_{CP}$ has important implications for the CP violation as well as phase structure of the quark mass matrices. In fact all CP violating effects in this sector are proportional to…

高能物理 - 唯象学 · 物理学 2018-04-05 Madan Singh

I study the weak basis CP-violating invariants in supersymmetric models, in particular those which cannot be expressed in terms of the Jarlskog--type invariants, and find basis--independent conditions for CP conservation. With an example of…

高能物理 - 唯象学 · 物理学 2014-11-17 Oleg Lebedev

We construct a natural measure on the space of CKM matrices in the standard model, assuming the fermion mass matrices are randomly selected from a distribution which fits the observed quark mass hierarchy. This measure allows us to assess…

高能物理 - 唯象学 · 物理学 2010-04-15 Gary W. Gibbons , Steffen Gielen , C. N. Pope , Neil Turok

In the quark sector, Jarlskog rephasing invariant $\rm{J_{CP}}$ has important implications for the CP violation as well as phase structure of the quark mass matrices. In fact all CP violating effects in this sector are proportional to the…

高能物理 - 唯象学 · 物理学 2020-05-05 Madan Singh

We find a minimal set of constraints which are independent of the choice of weak quark basis and necessary and sufficient for CP conservation for four quark families, including also the case of degenerate quark masses. These invariant…

高能物理 - 唯象学 · 物理学 2009-10-28 F. del Aguila , J. A. Aguilar-Saavedra

We find that the precision and accuracy of current experimental data on the moduli of nine Cabibbo-Kobayashi-Maskawa (CKM) quark flavor mixing matrix elements allow us to numerically determine the it correct size of the Jarlskog invariant…

高能物理 - 唯象学 · 物理学 2023-10-26 Shu Luo , Zhi-zhong Xing

We discuss the quark mass matrices in the $A_4$ modular symmetry, where the $A_4$ triplet of Higgs is introduced for each up-quark and down-quark sectors, respectively. The model has six real parameters and two complex parameters in…

高能物理 - 唯象学 · 物理学 2019-02-27 Hiroshi Okada , Morimitsu Tanimoto

We discuss the generalization of the Jarlskog condition of CP conservation for the case of the Standard Model with 4~quark generations. We express this condition in terms of the 3 Jarlskog invariants of the CKM matrix. Next we present the…

高能物理 - 唯象学 · 物理学 2020-04-22 Ubaldo Cavazos Olivas , S. Rebeca Juárez Wysozka , Piotr Kielanowski

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Harald Fritzsch

By using the relation between CP-violation phase and the mixing angles in Cabibbo-Kobayashi-Maskawa matrix postulated by us before, the rephasing invariant is recalculated. Furthermore, the problem about maximal CP violation is discussed.…

高能物理 - 唯象学 · 物理学 2007-05-23 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…

高能物理 - 唯象学 · 物理学 2019-05-01 Yusuke Shimizu , Kenta Takagi , Shunya Takahashi , Morimitsu Tanimoto

In the Standard Model with a fourth generation of quarks, we study the relation between the Jarlskog invariants and the triangle areas in the 4-by-4 CKM matrix. To identify the leading effects that may probe the CP violation in processes…

高能物理 - 唯象学 · 物理学 2010-09-28 Wei-Shu Hou , Yao-Yuan Mao , Chia-Hsien Shen

We investigate the quark sector of a four-Higgs-doublet model with an exact D_5 symmetry. In the framework of explicit CP violation, we considered the most general real vacuum, derived the quark mass matrices, and performed a numerical fit…

高能物理 - 唯象学 · 物理学 2026-05-26 Dong-Ping Fu , Michihisa Takeuchi

We argue here why CP violating phase Phi in the quark mixing matrix is maximal, that is, Phi=90 degrees. In the Standard Model CP violation is related to the Jarlskog invariant J, which can be obtained from non commuting Hermitian mass…

高能物理 - 唯象学 · 物理学 2007-05-23 E. Rodriguez-Jauregui

We study a class of quark mass matrix models with the $\cal CP$-violating phase determined through making the $\cal CP$-violating parameter $J$ an extremum. These models assume that $m_u \ll m_c \ll m_t$ and that $m_d \ll m_s \ll m_b$. They…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Margolis , S. Punch , ; C. Hamzaoui

To extract sum rules of CKM matrix elements, eigenvalue problems for quasi-democratic mass matrices are solved in the first order perturbation approximation with respect to small deviations from the democratic limit. Mass spectra of up and…

高能物理 - 唯象学 · 物理学 2014-11-17 I. S. Sogami , K. Nishida , H. Tanaka , T. Shinohara

The full parameter space of Hermitian quark mass matrices with four texture zeros is explored by using current experimental data. We find that all ten free parameters of the four-zero quark mass matrices can well be constrained. In…

高能物理 - 唯象学 · 物理学 2008-11-26 Zhi-zhong Xing , He Zhang

Three symmetry constraints on the CP violations in QCD are discussed in this paper. In order to generate CP violating observables from QCD, these constraints require: (1) spontaneous chiral symmetry breaking, (2) explicit chiral symmetry…

高能物理 - 唯象学 · 物理学 2007-05-23 Chuan-Tsung Chan

We present the first complete calculation of the Jarlskog invariant, a working measure of the strength of CP violation in the flavor oscillations of three light neutrino species, with the help of a full Euler-like block parametrization of…

高能物理 - 唯象学 · 物理学 2024-07-24 Zhi-zhong Xing

A model of quark mass matrices from six dimensions, which is nearly democatic in nature and which is previously constructed by two of us (PQH and MS), is studied in detail in this manuscript. We found that not only it fits all the six quark…

高能物理 - 唯象学 · 物理学 2014-11-17 P. Q. Hung , M. Seco , A. Soddu
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