Charged Higgs boson pair production via gluon-gluon collisions in MSSM with CP violation

The CP-violating effects to the subprocess $gg\to H^+H^-$ is studied in the mSUGRA scenario at the CERN LHC, by taking into account the experimental bounds of electron and neutron EDM's. The CP violation effects in this process are related to the complex phases of $\mu$ and $A_{f}$ in the mSUGRA scenario. In our calculation we consider small CP phases of $\mu$ and $A_{f}$ and neglect the effects of neutral Higgs bosons mixing. In this case the CP effects to the process mainly come from the complex couplings of Higgs-squark-squark. We find a strong dependence of charged Higgs boson pair production rate on the complex couplings in the MSSM parameter space.