Supersymmetric Electroweak Corrections to the Higgs Boson Decays into Chargino or Neutralino Pair

We investigate the supersymmetric electroweak corrections to the decay widths of the CP-odd and the heavy CP-even Higgs bosons into chargino or neutralino pair in the framework of the Minimal Supersymmetric Standard Model. The corrections involve the contributions of the order $O(\alpha_{ew} m_{t(b)}^3/m_W^3)$, $O(\alpha_{ew} m_{t(b)}^2/m_W^2)$ and $O(\alpha_{ew} m_{t(b)}/m_W)$. The detailed calculations of the electroweak corrections to the following decay processes: $A^0/H^0 \to \tilde{\chi}^+_1 \tilde{\chi}^-_1$ and $A^0/H^0 \to \tilde{\chi}^0_2 \tilde{\chi}^0_2$ are presented in this paper. We find that these relative corrections maybe rather large quantitatively, and can exceed 10% in some regions of parameter space. The corrections to the decay $A^0/H^0 \to \tilde{\chi}^0_1 \tilde{\chi}^0_2$ can be obtained analogously, but our results show that they are very small and can be neglected.