Precision from the diphoton Zh channel at FCC-hh

The future 100 TeV FCC-hh hadron collider will give access to rare but clean final states which are out of reach the HL-LHC. One such process is $Zh$ production channel in $(\nu\bar{\nu} / \ell^{+}\ell^{-})\gamma\gamma$ states. We study sensitivity this $\mathcal{O}_{\varphi q}^{(1)}$, q}^{(3)}$, u}$, and d}$ SMEFT operators, parametrize deviations $W$ $Z$ couplings quarks, or, equivalently, anomalous trilinear gauge (aTGC). While our analysis shows that good only achievable for we demonstrate binning rapidity has potential improve on q}^{(1)}$. Our estimated bounds one order magnitude better than projections at HL-LHC global fits lepton colliders. q}^{(3)}$ competitive with other channels could probe same operator FCC-hh. Therefore, combining different diboson sizeably improves bound reaching a precision $|\delta g_{1z}| \lesssim 2 \times 10^{-4}$ $ZWW$ interactions.