Minimal supersymmetric standard model Higgs-boson production at hadron colliders with explicit [formula presented] violation

Gluon fusion is the main production mechanism for Higgs bosons with masses up to several hundred GeV in (Formula presented) collisions at the CERN Large Hadron Collider. We investigate the effects of the (Formula presented)-violating phases on the fusion process including both the sfermion-loop contributions and the one-loop induced (Formula presented)-violating scalar-pseudoscalar mixing in the minimal supersymmetric standard model. With a universal trilinear parameter assumed, every physical observable involves only the sum of the phases of the universal trilinear parameter (Formula presented) and the higgsino mass parameter (Formula presented) The phase affects the lightest Higgs-boson production rate significantly through the neutral Higgs-boson mixing and, for the masses around the lightest top-squark pair threshold, it also changes the production rate of the heavy Higgs bosons significantly through both the top-squark and bottom-squark loops and the neutral Higgs-boson mixing.