$\mathcal{O}(\hat{I}{\pm }_s)$ QCD and $\mathcal{O}(\hat{I}{\pm }_{ew})$ electroweak corrections to $t\bar{t}{h}^0$ production in ${\hat{I}}^3{\hat{I}}^3$ collision

Abstract

We calculate the $\mathcal{O}(\hat{I}{\pm }_s)$ QCD and $\mathcal{O}(\hat{I}{\pm }_{\mathrm{ew}})$ electroweak one-loop corrections in the Standard Model framework, to the production of an intermediate Higgs boson associated with $t\bar{t}$ pair via ${\hat{I}}^3{\hat{I}}^3$ fusion at an electron-positron linear collider (LC). We find the $\mathcal{O}(\hat{I}{\pm }_s)$ QCD corrections can be larger than the $\mathcal{O}(\hat{I}{\pm }_{\mathrm{ew}})$ electroweak ones, with the variations of the Higgs boson mass $m_h$ and $e^{+}{e}^{-}$ colliding energy $\sqrt{s}$. Both corrections may significantly decrease or increase the Born cross section. The numerical results show that the relative corrections from QCD to the process \eep may reach 34.8%, when $\sqrt{s}=800$ GeV and $m_h=200$ GeV, while those from electroweak can be -13.1%, -15.8% and -12.0%, at $\sqrt{s}=800$ GeV, 1 TeV and 2 TeV respectively.

38 pages, 16 figures