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Direct frequency-comb spectroscopy is used to probe the absolute frequenciesof $6S_{1/2}$-$8S_{1/2}$ two-photon transitions of atomic cesium in hot vaporenvironment. By utilizing the coherent control method of temporally splittingthe laser spectrum above and below the two-photon resonance frequency,Doppler-free absorption is built in two spatially distinct locations and imagedfor high-precision spectroscopy. Theoretical analysis finds that thesetransition lines are measured with uncertainty below $5\times10^{-10}$, mainlycontributed from laser-induced AC Stark shift.

Direct frequency-comb spectroscopy of $6S_{1/2}$-$8S_{1/2}$ transitions of atomic cesium