Top Quark Forward-Backward Asymmetry ine+e−Annihilation at Next-to-Next-to-Leading Order in QCD

We report on a complete calculation of electroweak production of top-quark pairs in $e^{+}{e}^{-}$ annihilation at next-to-next-to-leading order in quantum chromodynamics. Our setup is fully differential in phase space and can be used to calculate any infrared-safe observable. Especially we calculated the next-to-next-to-leading-order corrections to the top-quark forward-backward asymmetry and found sizable effects. Our results show a large reduction of the theoretical uncertainties in predictions of the forward-backward asymmetry, and allow for a precision determination of the top-quark electroweak couplings at future $e^{+}{e}^{-}$ colliders.