Supersymmetric Electroweak Corrections to $W^{\pm}H^{\mp}$ Associated Production at the CERN Large Hadron Collider

The $O(\alpha_{ew}m_{t(b)}^{2}/m_{W}^{2})$ and $O(\alpha_{ew} m_{t(b)}^4/m_W^4)$ supersymmetric electroweak corrections to the cross section for $W^{\pm}H^{\mp}$ associated production at the LHC are calculated in the minimal supersymmetric standard model. Those corrections arise from the quantum effects which are induced by the Yukawa couplings from the Higgs sector and the genuine supersymmetric electroweak couplings involving supersymmetric particles, i.e. chargino-top(bottom)-sbottom(stop) couplings, neutralino-top(bottom)-stop(sbottom) couplings and charged Higgs-stop-sbottom couplings. The Yukawa corrections can decrease the total cross sections significantly for low $\tan\beta(<4)$ when $m_{H^+}<300$GeV, which exceed -12%. For high $\tan\beta$ the Yukawa corrections become negligibly small. The genuine supersymmetric electroweak corrections can increase or decrease the total cross sections depending on the supersymmetric parameters, which are at most a few percent, except the region near the threshold. We also show that the genuine supersymmetric electroweak corrections depend strongly on the choice of $\tan\beta$, $A_t$, $M_{\tilde Q}$ and $\mu$. For large values of $A_t$, or large values of $\mu$ and $\tan\beta$, one can get larger corrections. The corrections can become very small, in contrast, for larger values of $M_{\tilde Q}$.