Abstract
Cosmic-ray positrons have long been considered a powerful
probe of dark matter annihilation. In particular, myriad studies of
the unexpected rise in the positron fraction have debated its dark
matter or pulsar origins. In this paper, we instead examine the
potential for extremely precise positron measurements by AMS-02 to
probe hard leptophilic dark matter candidates that do not
have spectral features similar to the bulk of the observed positron
excess. Utilizing a detailed cosmic-ray propagation model that
includes a primary positron flux generated by Galactic pulsars in
addition to a secondary component constrained by He and proton
measurements, we produce a robust fit to the local positron flux and
spectrum. We find no evidence for a spectral bump correlated with
leptophilic dark matter, and set strong constraints on the dark
matter annihilation cross-section that fall below the thermal
annihilation cross-section for dark matter masses below 60 GeV and
380 GeV for annihilation into τ+τ- and e+e-,
respectively, in our default model.