Spectral gamma-ray line features are expected as key signatures from dark matter (DM) annihilations of TeV-scale particle DM. Observations of the Galactic Center with atmospheric Cherenkov telescopes are unique to probe thermal-relic TeV particle DM, well beyond the reach of direct detection and collider searches. We report here on the search for line signals in very-high-energy gamma rays using data from the Inner Galaxy Survey, consisting of 546 hours of H.E.S.S. observations of the inner few degrees of the Galactic Center. No significant signal is detected. We then compute the exclusion limits on the annihilation line cross section ⟨𝜎𝑣⟩line, with two-dimensional log-likelihood ratio test statistics, exploiting spectral and spatial features of the DM signal. Assuming an Einasto DM density profile for the Milky Way, our results provide the most constraining limits so far, reaching ⟨𝜎𝑣⟩line = 2.3 × 10−28 and 2.4 × 10−27 cm3 s−1 for DM masses of 1 and 10 TeV, respectively. The present limits are used to constrain the widely searched Wino, Higgsino, and Quintuplet models. For the first time, thermal Higgsino DM is probed for DM Milky Way models.

