Thermal WIMPs and the Scale of New Physics: Global Fits of Dirac Dark
  Matter Effective Field Theories
  We assess the status of a wide class of WIMP dark matter (DM) models in light
of the latest experimental results using the global fitting framework
$\textsf{GAMBIT}$. We perform a global analysis of effective field theory (EFT)
operators describing the interactions between a gauge-singlet Dirac fermion and
the Standard Model quarks, the gluons and the photon. In this bottom-up
approach, we simultaneously vary the coefficients of 14 such operators up to
dimension 7, along with the DM mass, the scale of new physics and several
nuisance parameters. Our likelihood functions include the latest data from
$\mathit{Planck}$, direct and indirect detection experiments, and the LHC. For
DM masses below 100 GeV, we find that it is impossible to satisfy all
constraints simultaneously while maintaining EFT validity at LHC energies. For
new physics scales around 1 TeV, our results are influenced by several small
excesses in the LHC data and depend on the prescription that we adopt to ensure
EFT validity. Furthermore, we find large regions of viable parameter space
where the EFT is valid and the relic density can be reproduced, implying that
WIMPs can still account for the DM of the universe while being consistent with
the latest data.
