Prospects for the Search of gluon mediated flavour changing neutral currents at FCC

The Note presents the prospects for the search of the possible gluon mediated flavor changing neutral currents (FCNC) in top quark production. The possible presence of tgu and tgc FCNC vertices is investigated in the framework of the future 100 TeV proton-proton collider (FCC-hh). The signature similar to the t-channel single top-quark production is considered. The analyses has been performed on mu + jets and e + jets events. The fast simulation of the detector response is applied with the expected parameters of the FCC-hh detector. The Bayesian Neural Networks (BNN) technique uses to discriminate the signal against backgrounds. The shape of the neural networks discriminants is used in the statistical analysis to estimate the expected sensitivity to the FCNC contribution. The 95% C.L. expected exclusion limits on the coupling strengths are $ \mid\kappa_{tug}\mid/\Lambda < 2.2 \times 10^{-5}$ ${TeV^{ -1}}$ and $\mid \kappa_{tcg} \mid /\Lambda < 3.3 \times 10^{-5}$ ${TeV^{ -1}}$ for the integrated luminosity of 30 ab$^{-1}$. The corresponding limits on the branching fractions are $Br(t \rightarrow gu) < 5.8 \cdot 10^{-10}$ and $Br(t \rightarrow gc) < 1.3 \cdot 10^{-9}$. The two-dimensional contours of the upper limit to possible simultaneous presence of both FCNC parameters are also provided.