  Antiprotons are regarded as a powerful probe for Dark Matter (DM) indirect
detection and indeed current data from PAMELA have been shown to lead to
stringent constraints. However, in order to exploit their
constraining/discovery power properly and especially in anticipation of the
exquisite accuracy of upcoming data from AMS, great attention must be put into
effects (linked to their propagation in the Galaxy) which may be perceived as
subleasing but actually prove to be quite relevant. We revisit the computation
of the astrophysical background and of the DM antiproton fluxes fully including
the effects of: diffusive reacceleration, energy losses including tertiary
component and solar modulation (in a force field approximation). We show that
their inclusion can somewhat modify the current bounds, even at large DM
masses, and that a wrong interpretation of the data may arise if they are not
taken into account. The numerical results for the astrophysical background are
provided in terms of fit functions; the results for Dark Matter are
incorporated in the new release of the PPPC4DMID.
