Supersymmetric electroweak corrections to the Higgs boson decays into a chargino or neutralino pair

We investigate the supersymmetric electroweak corrections to the decay widths of the $\mathrm{CP}$-odd and the heavy $\mathrm{CP}$-even Higgs bosons into a chargino or neutralino pair in the framework of the minimal supersymmetric standard model. The corrections involve the contributions of the order $O\left({\alpha }_{\mathrm{ew}}{m}_{t\left(b\right)\mathrm{}}^3{/m}_W^3\right),$ $O\left({\alpha }_{\mathrm{ew}}{m}_{t\left(b\right)\mathrm{}}^2{/m}_W^2\right)$ and $O\left({\alpha }_{\mathrm{ew}}{m}_{t\left(b\right)\mathrm{}}{/m}_W\right).\mathrm{}$ The detailed calculations of the electroweak corrections to the decay processes $A^0{/H}^0\to {\tilde{\chi }}_1^{+}{\tilde{\chi }}_1^{-}$ and $A^0{/H}^0\to {\tilde{\chi }}_2^0{\tilde{\chi }}_2^0$ are presented in this paper. We find that these relative corrections may be rather large quantitatively, and can exceed $10\%$ in some regions of parameter space. The corrections to the decay $A^0{/H}^0\to {\tilde{\chi }}_1^0{\tilde{\chi }}_2^0$ can be obtained analogously, but our results show that they are very small and can be neglected.