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% confidence level (CL) and the 5 sigma discovery reach for the different integrated luminosities are obtained. It is shown that at the 27 TeV HE-LHC with an integrated luminosity of 15 ab(-1) and at the 100 TeV FCC-hh with an integrated luminosity of 30 ab-1, the BR(t.-> uh) (BR(t. ch)) can be probed, respectively, to 4.4 (6.4) x10(-5) and 1.3 (1.6)x10-5 at the 95% CL.