CP violating asymmetry in $H^{\pm }\to W^{\pm }{h}_1$ decays

The CP violating asymmetry from the decay rates $H^{\pm }\to W^{\pm }{h}_1$ of charged Higgs bosons into the lightest neutral Higgs boson and a $W^{\pm }$ boson is calculated and discussed in the complex MSSM. The contributions from all complex phases are considered, especially from the top-squark trilinear coupling, which induces a large contribution to the CP asymmetry.