Supersymmetric Electroweak Corrections to Charged Higgs Boson Production in Association with a Top Quark at Hadron Colliders

Abstract

We calculate 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 the charged Higgs boson production in association with a top quark at the Tevatron and the LHC. These corrections arise from the quantum effects which are induced by potentially large Yukawa couplings from the Higgs sector and the chargino-top(bottom)-sbottom(stop) couplings, neutralino-top(bottom)-stop(sbottom) couplings and charged Higgs-stop-sbottom couplings. They can decrease or increase the cross section depending on $\tan \beta$ but are not very sensitive to the mass of the charged Higgs boson for high $\tan \beta$. At low $\tan \beta (=2)$ the corrections decrease the total cross sections significantly, which exceed -12% for $m_{H^{\pm }}$ below $300GeV$ at both the Tevatron and the LHC, but for $m_{H^{\pm }}>300GeV$ the corrections can become very small at the LHC. For high $\tan \beta (=10,30)$ these corrections can decrease or increase the total cross sections, and the magnitude of the corrections are at most a few percent at both the Tevatron and the LHC.

Comments: 28 pages including 4 eps figures