  We consider a simplified model for Majorana fermion dark matter and explore
constraints from direct, indirect and LHC collider searches. The dark matter is
assumed to couple to the Standard Model through a vector mediator with
axial-vector interactions. We provide detailed analyses of LHC mono-jet
searches and IceCube limits on dark matter annihilation in the Sun. In
particular, we develop a method for calculating limits on simplified WIMP dark
matter models from public IceCube data, which are only available for a limited
number of Standard Model final states. We demonstrate that LHC and IceCube
searches for Majorana dark matter are complementary and derive new limits on
the dark matter and mediator masses, including in addition constraints from LHC
di-jet searches, direct detection and the dark matter relic density.
