Addressing the CKM Unitarity Problem with a Vector-like Up Quark

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 $D^0$-${\overline{D}}^0$, $K^0$-${\overline{K}}^0$ and $B_{d,s}^0$-${\overline{B}}_{d,s}^0$ 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 $m_T\lesssim 7$ TeV which could be probed in upcoming experiments at the energy frontier.

24 pages, 4 figures, 2 tables; comments and references added

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• Renormalizable Models of Flavor-Specific Scalars
• A renormalizable left-right symmetric model with low scale seesaw mechanisms
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• $Z$ mediated Flavour Changing Neutral Currents with a Fourth Vector-Like Family
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• Do the Small Numbers in the Quark Mixing arise from New Physics?