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Milagro observations have found bright, diffuse TeV emission concentratedalong the galactic plane of the Milky Way. The intensity and spectrum of thisemission is difficult to explain with current models where gamma-ray productionis dominated by hadronic mechanisms, and has been named the "TeV excess". Weshow that TeV emission from pulsars naturally explains this excess. Inparticular, recent observations have detected "TeV halos" surrounding pulsarsthat are either nearby or particularly luminous. Here, we show that the fullpopulation of Milky Way pulsars will produce diffuse TeV emission concentratedalong the Milky Way plane. The total gamma-ray flux from TeV halos is expectedto exceed the hadronic gamma-ray flux at energies above ~500 GeV. Moreover, thespectrum and intensity of TeV halo emission naturally matches the TeV excess.If this scenario is common to all galaxies, it will decrease the contributionof star-forming galaxies to the IceCube neutrino flux. Finally, we show thatupcoming HAWC observations will resolve a significant fraction of the TeVexcess into individual TeV halos, conclusively confirming, or ruling out, thismodel.

Pulsar TeV Halos Explain the TeV Excess Observed by Milagro