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We present the full $\mathcal{O}(\alpha)$ electroweak radiative correctionsto the process $e^+e^- \rightarrow t \bar{t} \gamma$ at the InternationalLinear Collider (ILC). The computation is performed with the help of theGRACE-Loop system. We present the total cross-section and the top quarkforward-backward asymmetry ($A_{FB}$) as a function of the center-of-massenergy and compare them with the process $e^+e^- \rightarrow t \bar{t}$. Wefind that the value of $A_{FB}$ in $t \bar{t} \gamma$ production is larger than$A_{FB}$ in $t\bar{t}$ production. It is an important result for themeasurement of the top quark forward-backward asymmetry at the ILC. Applying astructure function method, we also subtract the QED correction to gain thegenuine weak correction in both the $\alpha$ scheme and the $G_{\mu}$ scheme($\delta_{W}^{G_{\mu}}$). We obtain numerical values for $\delta_{W}^{G_{\mu}}$which are changing from 2% to -24% when we vary the center-of-mass energy from360 GeV to 1 TeV.

Full $\mathcal{O}(\alpha)$ electroweak radiative corrections to $e^+e^- \rightarrow t \bar{t} \gamma$ with GRACE-Loop