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We present the results of the first combined dark matter search targeting theGalactic Centre using the ANTARES and IceCube neutrino telescopes. For darkmatter particles with masses from 50 to 1000 GeV, the sensitivities on theself-annihilation cross section set by ANTARES and IceCube are comparable,making this mass range particularly interesting for a joint analysis. Darkmatter self-annihilation through the $\tau^+\tau^-$, $\mu^+\mu^-$, $b\bar{b}$and $W^+W^-$ channels is considered for both the Navarro-Frenk-White andBurkert halo profiles. In the combination of 2,101.6 days of ANTARES data and1,007 days of IceCube data, no excess over the expected background is observed.Limits on the thermally-averaged dark matter annihilation cross section$\langle\sigma_A\upsilon\rangle$ are set. These limits present an improvementof up to a factor of two in the studied dark matter mass range with respect tothe individual limits published by both collaborations. When considering darkmatter particles with a mass of 200 GeV annihilating through the $\tau^+\tau^-$channel, the value obtained for the limit is $7.44 \times 10^{-24}\text{cm}^{3}\text{s}^{-1}$ for the Navarro-Frenk-White halo profile. For thepurpose of this joint analysis, the model parameters and the likelihood areunified, providing a benchmark for forthcoming dark matter searches performedby neutrino telescopes.

Combined search for neutrinos from dark matter self-annihilation in the Galactic Centre with ANTARES and IceCube