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 ${\cal O}(\alpha_{ew})$ 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.