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Using 14 years of Fermi-LAT data and 10 years of H.E.S.S. observations in thedirection of the galactic center, we derive limits on gamma-ray linesoriginated from dark matter annihilations for fermionic and scalar fields. Wedescribe the dark matter annihilation into $\gamma \gamma$ or $\gamma Z$ finalstates in terms of effective operators and place limits on the energy scale asa function of the dark matter mass taking into account the energy resolution ofthe instruments. For the Fermi-LAT data, we considered an NFW and a contractedNFW dark matter density profile, the latter being preferred by the Fermi GeVexcess. For the H.E.S.S. observation, we used an NFW and Einasto profile.Fermi-LAT yields the most stringent constraints for dark matter masses below300 GeV, whereas H.E.S.S. has the strongest ones for dark matter masses above 1TeV. The telescopes share similar sensitivities for dark matter masses between300 GeV and 1 TeV. We conclude that Fermi-LAT (H.E.S.S.) can probe energyscales up to $10(20)$~TeV for scalar and fermionic dark matter particles.

Constraining Gamma-ray Lines from Dark Matter Annihilation using Fermi-LAT and H.E.S.S. data