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We report the first detailed characterization of the sheet third-harmonicoptical susceptibility, $\chi_{s}^{(3)}$, of tungsten diselenide (WSe$_{2}$).With a home-built confocal microscope setup developed to study harmonicsgeneration, we map the second- and third-harmonic intensities as a function ofposition in the sample, pump power and polarization angle, for single and fewlayers flakes of WSe$_{2}$. We register a value of $|\chi_{s}^{(3)}| \approx$0.91 $\times$ 10$^{-28}$ m$^{3}$ V$^{-2}$ at a fundamental excitation frequencyof $\hbar\omega$ = 0.8 eV, which is comparable in magnitude to thethird-harmonic susceptibility of other group-VI transition metaldichalcogenides. The simultaneously recorded second-harmonic susceptibility isfound to be $|\chi_{s}^{(2)}| \approx$ 0.70 $\times$ 10$^{-19}$ m$^{2}$V$^{-1}$ in very good agreement on the order of magnitude with recent reportsfor WSe$_{2}$, which asserts the robustness of our values for$|\chi_{s}^{(3)}|$.

Characterization of the second- and third-harmonic optical susceptibilities of atomically thin tungsten diselenide