Full O electroweak radiative corrections to [e.sup.+][e.sup.-] → t[bar.t]γ with GRACE-Loop

We present the full O (α) electroweak radiative corrections to the process [e.sup.+][e.sup.-] → t[bar.t]γ 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.sub.FB]) as a function of the center-of-mass energy and compare them with the process [e.sup.+][e.sup.-] → t[bar.t]. We find that the value of [A.sub.FB] in t[bar.t]γ production is larger than [A.sub.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 α scheme and the [G.sub.μ] scheme [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. We obtain numerical values for [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] which are changing from 2 % to -24 % when we vary the center-of-mass energy from 360 GeV to 1 TeV.