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

Abstract

We present the full $\mathcal{O}(\alpha )$ electroweak radiative corrections to the process $e^{+}{e}^{-}\to t\bar{t}\gamma$ 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 $e^{+}{e}^{-}\to t\bar{t}$. 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.

13 pages, 9 figures

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Cited by in corpus (10)

• Top-Quark Physics at the CLIC Electron-Positron Linear Collider
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• Full one-loop electroweak corrections to $e^{+}{e}^{-}\to ZH\gamma$ at a Higgs factory
• Top-quark pair production at next-to-next-to-leading order QCD in electron positron collisions
• Full $\mathcal{O}(\alpha )$ electroweak radiative corrections to $e^{+}{e}^{-}\to e^{+}{e}^{-}\gamma$ at the ILC with GRACE-Loop
• Top and bottom quark forward-backward asymmetries at next-to-next-to-leading order QCD in (un)polarized electron positron collisions
• $\mathcal{O}({\alpha }^2)$ ISR effects with a full electroweak one-loop correction for a top pair-production at the ILC
• Revisiting the top-quark pair production at future $e^{+}{e}^{-}$ colliders
• Beam polarization effects on top-pair production at the ILC
• ISR effects on loop corrections of a top pair-production at the ILC