  The Fermi Gamma-ray Space Telescope discovered two \gamma-ray emitting
bubble-shaped structures that extend nearly symmetrically on either side of our
Galaxy and appear morphologically connected to the Galactic center. The origin
of the emission is still not entirely clear. It was recently shown that the
spectral shape of the emission from the Fermi bubbles is well described by an
approximately 50 GeV dark matter particle annihilating to b \bar b, with a
normalization corresponding to a velocity average annihilation cross section of
< \sigma_b v > ~ 8 \times 10^{-27} cm^3/s. We study the minimal hidden sector
recently introduced by Weinberg and examine to what extent its
weakly-interacting massive particles (W-WIMPs) are capable of accommodating
both the desired effective annihilation rate into quarks and the observed relic
density.
