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The scalar strangeness content of the nucleon, characterized by the so-calledstrangeness-nucleon sigma term, is of fundamental importance in understandingits sea-quark flavor structure. We report a determination of the octet baryonsigma terms via the Feynman-Hellmann theorem by analyzing the latesthigh-statistics $n_f=2+1$ lattice QCD simulations with covariant baryon chiralperturbation theory up to next-to-next-to-next-to-leading order. In particular,we predict $\sigma_{\pi N}=55(1)(4)$ MeV and $\sigma_{sN}=27(27)(4)$ MeV, whilethe first error is statistical and the second systematic due to differentlattice scales. The predicted $\sigma_{sN}$ is consistent with the latest LQCDresults and the results based on the next-to-next-to-leading order chiralperturbation theory. Several key factors in determining the sigma terms aresystematically taken into account and clarified for the first time, includingthe effects of lattice scale setting, systematic uncertainties originating fromchiral expansion truncations, and constraint of strong-interaction isospinbreaking effects.

Scalar strangeness content of the nucleon and baryon sigma terms