W-+ H+- production and CP asymmetry at the LHC

The dominant contributions to W-+ H+- production at the LHC are the tree-level b anti-b annihilation and the gg fusion. We perform for the case of the complex MSSM a complete calculation of the NLO EW corrections to the b anti-b annihilation channel and a consistent combination with other contributions including the standard and SUSY QCD corrections and the gg fusion, with resummation of the leading radiative corrections to the bottom-Higgs couplings and the neutral Higgs-boson propagators. We observe a large CP-violating asymmetry, arising mainly from the gg channel.