  We propose a renormalizable dark matter model in which a fermionic dark
matter (DM) candidate communicates with the standard model particles through
two distinct portals: Higgs and vector portals. The dark sector is charged
under a $U(1)'$ gauge symmetry while the standard model has a leptophobic
interaction with the dark vector boson. The leading contribution of DM-nucleon
elastic scattering cross section begins at one-loop level. The model meets all
the constraints imposed by direct detection experiments provided by LUX and
XENON100, observed relic abundance according to WMAP and Planck, and the
invisible Higgs decay width measured at the LHC. It turns out that the dark
matter mass in the viable parameter space can take values from a few GeV up to
1 TeV. This is a new feature which is absent in the models with only one
portal. In addition, we can find in the constrained regions of the parameter
space a DM mass of $\sim 34$ GeV annihilating into $b$ quark pair, which
explains the Fermi-LAT gamma-ray excess.
