Full $\mathcal{O}(\hat{I}\pm )$ electroweak radiative corrections to $e^{+}{e}^{-}\to t\bar{t}{\hat{I}}^3$ with GRACE-Loop

Abstract

We present the full $\mathcal{O}(\hat{I}\pm )$ electroweak radiative corrections to the process $e^{+}{e}^{-}\to t\bar{t}{\hat{I}}^3$ 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 $e^{+}{e}^{-}\to t\bar{t}$. We find that the value of $A_{FB}$ in $t\bar{t}{\hat{I}}^3$ 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 $\hat{I}\pm$ scheme and the $G_{\hat{I}}¼$ scheme ($\hat{I}{´}_W^{G_{\hat{I}}¼}$). We obtain numerical values for $\hat{I}{´}_W^{G_{\hat{I}}¼}$ which are changing from 2% to -24% when we vary the center-of-mass energy from 360 GeV to 1 TeV.

13 pages, 9 figures