Abstract
In light of a discrepancy of the direct CP violation in K → ππ decays, ε′/εK , we investigate gluino contributions to the electroweak penguin, where flavor violations are induced by squark trilinear couplings. Top-Yukawa contributions to ΔS = 2 observables are taken into account, and vacuum stability conditions are evaluated in detail. It is found that this scenario can explain the discrepancy of ε′/εK for the squark mass smaller than 5.6 TeV. We also show that the gluino contributions can amplify mathrm{mathcal{B}}left(Kto pi nu overline{nu}right) , ℬ(KS → μ+μ−)eff and ΔACP(b → sγ). Such large effects could be measured in future experiments.
Highlights
In light of a discrepancy of the direct CP violation in K → ππ decays, ε /εK, we investigate gluino contributions to the electroweak penguin, where flavor violations are induced by squark trilinear couplings
Top-Yukawa contributions to ∆S = 2 observables are taken into account, and vacuum stability conditions are evaluated in detail
ΕK receives those contributions from the Z penguin through the renormalization group (RG) running from the new physics scale to the electroweak (EW) scale, and through the matching onto the low-energy FCNC operators at the EW scale [18, 19]
Summary
We study flavor-changing processes via the gluino one-loop contributions and the Z-boson exchanges. The latter is described by higher dimensional operators in the SM effective field theory (SMEFT), where the gauge invariance is guaranteed. Where the first term in the right-hand side is the SM Lagrangian, and the second one is composed by higher dimensional operators [27] Where Nc = 3 is the number of colors These low-energy ∆F = 2 operators are generated by the ∆F = 1 ones in the SMEFT through the one-loop matchings at the weak scale [31]. The RG equations in eqs. (2.13) and (2.14) and the matching conditions in eqs. (2.27) and (2.28) are proportional to Yt2, and we call them the top-Yukawa contributions
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