scholarly journals Maximal CP violation hypothesis and phase convention of the CKM matrix

2005 ◽  
Vol 607 (1-2) ◽  
pp. 123-130 ◽  
Author(s):  
Yoshio Koide
Author(s):  
Miguel Nebot ◽  
Francisco J. Botella ◽  
Gustavo C. Branco
Keyword(s):  

2005 ◽  
Vol 41 (1) ◽  
pp. 1-131 ◽  
Author(s):  
J. Charles ◽  
A. Höcker ◽  
H. Lacker ◽  
S. Laplace ◽  
F. R. Le Diberder ◽  
...  
Keyword(s):  

2004 ◽  
Vol 19 (07) ◽  
pp. 1004-1016 ◽  
Author(s):  
K. R. SCHUBERT

The present status of experimental results for the magnitudes of Cabibbo-Kobayashi-Maskawa matrix elements is reviewed and used for a unitarity test. The matrix is found to be unitary within ±1.8 standard deviations. The matrix violates CP-symmetry and the size of its CP-violation, as derived from only magnitude measurements and unitarity, is in perfect agreement with the observed CP-violations in K and B meson decays.


2003 ◽  
Vol 18 (26) ◽  
pp. 1825-1834 ◽  
Author(s):  
S. Chaturvedi ◽  
Virendra Gupta

A new approach to the parametrization of the CKM matrix, V, is considered in which V is written as a linear combination of the unit matrix I and a nondiagonal matrix U which causes inter-generational-mixing, that is V = cos θ I + i sin θ U. Such a V depends on three real parameters including the parameter θ. It is interesting that a value of θ = π/4 is required to fit the available data on the CKM-matrix including CP-violation. Predictions of this fit for the angles α, β and γ for the unitarity triangle corresponding to [Formula: see text], are given. For θ = π/4, we obtain α = 88.46°, β = 45.046° and γ = 46.5°. These values are just about in agreement, within errors, with the present data. It is very interesting that the unitarity triangle is expected to be approximately a right-angle, isosceles triangle. Our prediction sin 2β = 1 is in excellent agreement with the value 0.99 ± 0.15 ± 0.05 reported by the Belle collaboration at the Lepton–Photon 2001 meeting.


2001 ◽  
Vol 16 (09) ◽  
pp. 1645-1652 ◽  
Author(s):  
V. GUPTA

The CKM-matrix V is written as a linear combination of the unit matrix I and a matrix U which causes intergenerational-mixing. It is shown that such a V results from a class of quark-mass matrices. The matrix U has to be Hermitian and unitary and therefore can depend at most on four real parameters. The available data on the CKM-matrix including CP-violation can be reproduced by [Formula: see text]. This is also true for the special case when U depends on only 2 real parameters. Also, for such a V the invariant phase Φ≡ϕ12+ϕ23-ϕ13, satisfies a criterion suggested for "maximal" CP-violation.


2008 ◽  
Vol 23 (21) ◽  
pp. 3282-3289 ◽  
Author(s):  
XIAO-GANG HE

The Standard Model for CP violation, the CKM model, works very well in explaining all laboratory experimental data. However, this model does not address the question that where it comes from. The origin of CP violation is still a mystery. In this talk I discuss a model1 addressing this problem in which the CP violating phase in the CKM matrix is identical to the phase in the Higgs potential resulting from spontaneous CP violation.


2005 ◽  
Vol 20 (02n03) ◽  
pp. 385-398
Author(s):  
KLAUS R. SCHUBERT

After a short introduction on CP asymmetries in K and B meson decays, I discuss a few recent results related to CP violation, mainly from the BABAR experiment: CPT tests in [Formula: see text] mixing, search for CP violation in [Formula: see text] and [Formula: see text] decays, and measurements of the unitarity-triangle angle α in B →ππ and B →ρρ decays. I conclude with the result of a CKM-matrix fit to all relevant observations.


2011 ◽  
Vol 26 (17) ◽  
pp. 2899-2912 ◽  
Author(s):  
GANG LÜ ◽  
ZHEN-HUA ZHANG ◽  
XIU-YING LIU ◽  
LI-YING ZHANG

In the framework of factorization, based on the first-order of isospin violation, we study direct CP violation in the decay of [Formula: see text] including the effect of ρ–ω mixing. The CP violation depends strongly on Cabibbo–Kobayashi–Maskawa (CKM) matrix elements and the effective parameter, Nc. Recently, the experimental data for the branching ratios of [Formula: see text] are accurate and we can give the strong constraint on the range of Nc. We find that the CP violating asymmetry is large and ranges from -82% to -98% via ρ–ω mixing mechanism when the invariant mass of the π+π- pair is in the vicinity of the ω resonance. We also discuss the possibility to observe the predicted CP violating asymmetries at the LHC.


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