Probing anomalous tqh couplings via single top production in associated with the Higgs boson at the HE-LHC and FCC-hh

We investigate the prospects for discovering the Flavour Changing Neutral Current (FCNC) tqh couplings via the process pp→ th at the proposed High Energy Large Hadron Collider (HE-LHC) and Future Circular Collider in hadron-hadron mode (FCC-hh) including the realistic detector effects. The relevant SM backgrounds are considered in the cut based analysis to obtain the limits on the the branching ratios of t→ qh (q=u,c) , followed by the leptonic decay channel of the top quark and diphoton decay channel of the Higgs boson. The upper limits on the FCNC branching ratios at 95