Electroweak radiative corrections to $e^{+}{e}^{-}\to t\bar{t}h$ at linear colliders

Abstract

We calculate the $\mathcal{O}({\alpha }_{\mathrm{ew}})$ electroweak radiative corrections to $e^{+}{e}^{-}\to t\bar{t}h$ at a electron-positron linear collider (LC) in the standard model. We analyze the dependence of the $\mathcal{O}({\alpha }_{\mathrm{ew}})$ corrections on the Higgs boson mass $m_h$ and colliding energy $\sqrt{s}$, and find that the corrections significantly decrease or increase the Born cross section depending on the colliding energy. The numerical results show that the $\mathcal{O}({\alpha }_{\mathrm{ew}})$ relative correction is strongly related to the Higgs boson mass when $\sqrt{s}=500GeV$, and for $m_h=150GeV$ the relative correction ranges from -31.3% to 2.3% as the increment of the colliding energy from 500 GeV to 2 TeV.

16 pages, 7 figures