scholarly journals Addressing the CKM unitarity problem with a vector-like up quark

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
G. C. Branco ◽  
J. T. Penedo ◽  
Pedro M. F. Pereira ◽  
M. N. Rebelo ◽  
J. I. Silva-Marcos

Abstract We point out that hints of deviations from unitarity in the first row of the CKM matrix may be explained by the presence of a single vector-like top. We study how the stringent experimental constraints arising from CP Violation in the kaon sector and from meson mixing such as $$ {D}^0\hbox{-} {\overline{D}}^0,{K}^0\hbox{-} {\overline{K}}^0 $$ D 0 ‐ D ¯ 0 , K 0 ‐ K ¯ 0 and $$ {B}_{d,s}^0\hbox{-} {\overline{B}}_{d,s}^0 $$ B d , s 0 ‐ B ¯ d , s 0 can be satisfied in the proposed framework. In order for the deviations from unitarity to be of the required size while keeping the theory perturbative, the new top quark should have a mass mT ≲ 7 TeV which could be probed in upcoming experiments at the energy frontier.

Author(s):  
Miguel Nebot ◽  
Francisco J. Botella ◽  
Gustavo C. Branco
Keyword(s):  

1992 ◽  
Vol 56 (1) ◽  
pp. 97-102 ◽  
Author(s):  
J. P. Ma ◽  
A. Brandenburg
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.


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