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

Abstract

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 $A^0/H^0\to {\tilde{\chi }}_2^0{\tilde{\chi }}_2^0$ 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 $A^0/H^0\to {\tilde{\chi }}_1^0{\tilde{\chi }}_2^0$ can be obtained analogously, but our results show that they are very small and can be neglected.

Comments: 25 pages, 9 figures,accepted by Physical Review D