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

  • P. H. Khiem
  • J. Fujimoto
  • T. Ishikawa
  • T. Kaneko
  • K. Kato
  • Y. Kurihara
  • Y. Shimizu
  • T. Ueda
  • J. A. M. Vermaseren
  • Y. Yasui
Regular Article - Theoretical Physics

Abstract

We present the full \(\mathcal{O}(\alpha)\) electroweak radiative corrections to the process \(e^{+}e^{-} \rightarrow t \bar{t} \gamma\) 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 \(e^{+}e^{-} \rightarrow t \bar{t}\). 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 α scheme and the G μ 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.

Keywords

Gauge Parameter International Linear Collider Hard Photon Electroweak Radiative Correction Final State Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We wish to thank Dr. F. Yuasa and Dr. N. Watanabe for valuable discussions and comments. This work was supported by JSPS KAKENHI Grant Number 20340063. The work of T.U. was supported by the DFG through SFB/TR 9 “Computational Particle Physics”.

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • P. H. Khiem
    • 1
    • 2
  • J. Fujimoto
    • 1
  • T. Ishikawa
    • 1
  • T. Kaneko
    • 1
  • K. Kato
    • 3
  • Y. Kurihara
    • 1
  • Y. Shimizu
    • 1
  • T. Ueda
    • 4
  • J. A. M. Vermaseren
    • 5
  • Y. Yasui
    • 6
  1. 1.KEKTsukubaJapan
  2. 2.SOKENDAI UniversityHayamaJapan
  3. 3.Kogakuin UniversityShinjukuJapan
  4. 4.Karlsruhe Institute of Technology (KIT)KarlsruheGermany
  5. 5.NIKHEFAmsterdamThe Netherlands
  6. 6.Tokyo Management CollegeIchikawaJapan

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