QCD correction to squarks productions in μ+μ- annihilation in the MSSM with complex parameters

The idea of a muon collider has already been brought up in the 1960's and 70's by Tinlot, Skrinsky, Neufer etc. However, major technical challenges have to be met in order to collect, accelerate, an collide muons and antimuons, which decay with a lifetime of 2.2 μs. At present, the Muon Collider Collaboration carries out the R and D for a muon collider in the US. In Europe, a muon collider is discussed within the ECFA Prospective Study on Muon Colliders. Specific studies are done for O(100) GeV, 0.3 - 0.5 TeV, and multi-TeV machines with luminosities of 1031 to 5 x 1034 cm-2s-1. In this paper, we consider the QCD corrections to squarks production in the muon collider μ+μ- → qiqj at the tree level with complex parameters and polarization of μ+, μ- beams. Numerical results are also performed and discussed. (author)