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Dark matter which is bound in the Galactic halo might self-annihilate andproduce a flux of stable final state particles, e.g. high energy neutrinos.These neutrinos can be detected with IceCube, a cubic-kilometer sized Cherenkovdetector. Given IceCube's large field of view, a characteristic anisotropy ofthe additional neutrino flux is expected. In this paper we describe a multipolemethod to search for such a large-scale anisotropy in IceCube data. This methoduses the expansion coefficients of a multipole expansion of neutrino arrivaldirections and incorporates signal-specific weights for each expansioncoefficient. We apply the technique to a high-purity muon neutrino sample fromthe Northern Hemisphere. The final result is compatible with thenull-hypothesis. As no signal was observed, we present limits on theself-annihilation cross-section averaged over the relative velocitydistribution $<\sigma v>$ down to $1.9\cdot10^{-23}\,\mathrm{cm}^3\mathrm{s}^{-1}$ for a dark matter particle mass of$700\,\mathrm{GeV}$ to $1000\,\mathrm{GeV}$ and direct annihilation into$\nu\bar{\nu}$. The resulting exclusion limits come close to exclusion limitsfrom $\gamma$-ray experiments, that focus on the outer Galactic halo, for highdark matter masses of a few TeV and hard annihilation channels.

Multipole analysis of IceCube data to search for dark matter accumulated in the Galactic halo