CP-violating asymmetry in chargino decay into neutralino and W boson

In the MSSM with complex parameters, loop corrections to $\cha_i^\pm \to \neu_j^0 W^\pm$leadtoaCPviolatingasymmetry$\ACP = (\Gamma(\cha_i^+ \to \neu_j^0 W^+) - \Gamma(\cha_i^- \to \neu_j^0 W^-))/ (\Gamma(\cha_i^+ \to \neu_j^0 W^+) + \Gamma(\cha_i^- \to \neu_j^0 W^-))$. We calculate this asymmetry at full one-loop level. We perform a detailed numerical analysis for ${\text{cha}}_1^{\pm }\to {\text{neu}}_1^0{W}^{\pm }$ and ${\text{cha}}_2^{\pm }\to {\text{neu}}_1^0{W}^{\pm }$ analyzing the dependence on the parameters and phases involved. Asymmetries of several percent are obtained. We also discuss the feasability of measuring these asymmtries at LHC.