Abstract
Recent observations have shown that pulsars are surrounded by extended regions which emit TeV-scale gamma rays through the inverse Compton scattering of very high energy electrons and positrons. Such TeV halos are responsible for a large fraction of the Milky Way's TeV-scale gamma-ray emission. In this paper, we calculate the gamma-ray spectrum from the population of TeV halos located within the Andromeda Galaxy, predicting a signal that is expected to be detectable by the Cherenkov Telescope Array. We also calculate the contribution from TeV halos to the isotropic gamma-ray background, finding that these sources should contribute significantly to this flux at the highest measured energies, constituting up to $\ensuremath{\sim}20%$ of the signal observed above $\ensuremath{\sim}0.1\text{ }\text{ }\mathrm{TeV}$. We also comment on the implications of our results for the origin of the diffuse neutrino flux detected by IceCube.
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