  The AMS-02 collaboration has recently released data on the positron fraction
$e^+/(e^-+e^+)$ up to energies of about 350 GeV. If one insists on interpreting
the observed excess as a dark matter signal, then we find it is best described
by a TeV-scale dark matter annihilating into $\tau^+\tau^-$, although this
situation is already severely constrained by gamma-ray measurements. The
annihilation into $\mu^+\mu^-$ is allowed by gamma-rays more than
$\tau^+\tau^-$, but it gives a poorer fit to \textsc{AMS-02} data. Moreover,
since electroweak corrections induce correlations among the fluxes of stable
particles from dark matter annihilations, the recent AMS-02 data imply a
well-defined prediction for the correlated flux of antiprotons. Under the
assumption that their future measurements will not show any antiproton excess
above the background, the dark matter interpretation of the positron rise will
possibly be ruled out by only making use of data from a single experiment. This
work is the first of a program where we emphasize the role of correlations
among dark matter signals.

High Energy Physics - Phenomenology;Cosmology and Nongalactic Astrophysics