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We derive constraints on dark matter (DM) annihilation cross section anddecay lifetime from cross-correlation analyses of the data from Fermi-LAT andweak lensing surveys that cover a wide area of $\sim660$ squared degrees intotal. We improve upon our previous analyses by using an updated extragalactic$\gamma$-ray background data reprocessed with the Fermi Pass 8 pipeline, and byusing well-calibrated shape measurements of about twelve million galaxies inthe Canada-France-Hawaii Lensing Survey (CFHTLenS) and Red-Cluster-SequenceLensing Survey (RCSLenS). We generate a large set of full-sky mock catalogsfrom cosmological $N$-body simulations and use them to estimate statisticalerrors accurately. The measured cross correlation is consistent with nulldetection, which is then used to place strong cosmological constraints onannihilating and decaying DM. For leptophilic DM, the constraints are improvedby a factor of $\sim100$ in the mass range of O(1) TeV when includingcontributions from secondary $\gamma$ rays due to the inverse-Comptonupscattering of background photons. Annihilation cross-sections of $\langle\sigma v \rangle \sim 10^{-23}\, {\rm cm}^3/{\rm s}$ are excluded for TeV-scaleDM depending on channel. Lifetimes of $\sim 10^{25}$ sec are also excluded forthe decaying TeV-scale DM. Finally, we apply this analysis to wino DM andexclude the wino mass around 200 GeV. These constraints will be furthertightened, and all the interesting wino DM parameter region can be tested, byusing data from future wide-field cosmology surveys.

physical review. d/physical review. d.

Cosmological constraints on dark matter annihilation and decay:  Cross-correlation analysis of the extragalactic $\gamma$-ray background and  cosmic shear