Full one-loop supersymmetric electroweak corrections to $t\bar{t}{h}^0$ associated production in $e^{+}{e}^{-}$ annihilation

Abstract

We present a precise calculation of the lightest neutral Higgs boson production associated with top quark pair at a linear collider. The full one-loop electroweak $\mathcal{O}({\alpha }_{ew})$ contributions to the process $e^{+}{e}^{-}\to t\bar{t}{h}^0$ within the minimal supersymmetric standard model (MSSM) are included. We analyze the dependence of the electroweak corrections on the MSSM parameters such as $M_{A^0}$, $\tan \beta$, $M_2$, $A_f$, $M_{SUSY}$ and $\mu$. The results show that the full one-loop electroweak radiative corrections turn out to be about -20% quantitatively and thus are important for future $e^{+}{e}^{-}$ linear colliders.

22 pages, 16 figures,LaTex, added references, to be appeared in PRD