Supersymmetric electroweak corrections to charged Higgs boson production in association with a top quark at hadron colliders

We calculate the $O\left({\alpha }_{\mathrm{ew}}{m}_{t\left(b\right)\mathrm{}}^2{/m}_W^2\right)$ and $O\left({\alpha }_{\mathrm{ew}}{m}_{t\left(b\right)\mathrm{}}^4{/m}_W^4\right)$ supersymmetric electroweak corrections to the cross section for charged Higgs boson production in association with a top quark at the Fermilab Tevatron and the CERN large hadron collider (LHC). These corrections arise from the quantum effects which are induced by potentially large Yukawa couplings from the Higgs sector and the chargino–top-quark– (bottom-quark–) bottom-squark (top-squark) couplings, neutralino–top-quark– (bottom-quark–) top-squark (bottom-squark) couplings and charged Higgs-boson–top-squark–bottom-squark 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 $\tan \beta \mathrm{}(=2\mathrm{})\mathrm{}$ the corrections decrease the total cross sections significantly, exceeding $-12\%$ for $m_{H^{\pm }}$ below 300 GeV at both the Tevatron and the LHC, but for $m_{H^{\pm }}>300\mathrm{}$ GeV the corrections become very small at the LHC. For high $\tan \beta \mathrm{}(=10,30\mathrm{})\mathrm{}$ 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.