QCD radiative correction to pair-annihilation of spin-1 bosonic Dark   Matter
  The next-to-leading order (NLO) QCD corrections are calculated for the pair-annihilation of spin-1 dark matter (DM) by dimensionally regularizing both ultraviolet and infrared singularities in non-relativistic limit (v<<1). The complete O(alphas) correction is about 8% due to the massless gluon contribution. An extra 5% will be added if there is a new interaction from a massive gluon of approximately same mass as the DM particle. The NLO QCD correction could give the sizable shift to the DM mass constrained by relic density measurements. 
Jae Ho Heo