Minimal supersymmetric standard model Higgs-boson production at hadron colliders with explicitCPviolation

Gluon fusion is the main production mechanism for Higgs bosons with masses up to several hundred GeV in $\mathrm{pp}$ collisions at the CERN Large Hadron Collider. We investigate the effects of the $\mathrm{CP}$-violating phases on the fusion process including both the sfermion-loop contributions and the one-loop induced $\mathrm{CP}$-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 $A$ and the higgsino mass parameter $\mu .$ 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.