# Full $mathcal{O}(α)$ electroweak radiative corrections to $e^ e^- ightarrow t ar{t} γ$ with GRACE-Loop

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We present the full $\mathcal{O}(\alpha)$ electroweak radiative corrections to the process $e^+e^- ightarrow t \bar{t} \gamma$ at the International Linear Collider (ILC). The computation is performed with the help of the GRACE-Loop system. We present the total cross-section and the top quark forward-backward asymmetry ($A {FB}$) as a function of the center-of-mass energy and compare them with the process $e^+e^- ightarrow t \bar{t}$. We find 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 the measurement of the top quark forward-backward asymmetry at the ILC. Applying a structure function method, we also subtract the QED correction to gain the genuine 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 from 360 GeV to 1 TeV.

Author: P. H. Khiem; J. Fujimoto; T. Ishikawa; T. Kaneko; K. Kato; Y. Kurihara; Y. Shimizu; T. Ueda; J. A. M. Vermaseren; Y. Yasui

Source: https://archive.org/