Electroweak one-loop corrections for e + e - annihilation into \(t\bar{t}\) including hard bremsstrahlung

  • J. FleischerEmail author
  • A. Leike
  • T. Riemann
  • A. Werthenbach
theoretical physics


We present the complete electroweak one-loop corrections to top-pair production at a linear e + e - collider in the continuum region. Besides weak and photonic virtual corrections, real hard bremsstrahlung with simple realistic kinematical cuts is included. For the bremsstrahlung we advocate a semi-analytical approach with a high numerical accuracy. The virtual corrections are parameterized through six independent form factors, suitable for Monte Carlo implementation. Alternatively, our numerical package Topfit, a stand-alone code, can be utilized for the calculation of both differential and integrated cross sections as well as forward-backward asymmetries.


Form Factor Numerical Accuracy Integrate Cross Section Continuum Region Virtual Correction 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. H. Simmons, “The top quark: Experimental roots and branches of theory”, Boston Univ. preprint BUHEP 02-39 (2002), to appear in: M. Erdmann (eds.), Proc. of the 14th Topical Conference on Hadron Collider Physics, Sept/Oct 2002, Karlsruhe, Germany (HCP2002), Scholar
  2. 2.
    ECFA/DESY LC Physics Working Group (E. Accomando), Phys. Rept. 299 (1998) 1, Scholar
  3. 3.
    ECFA/DESY LC Physics Working Group (J. Aguilar-Saavedra), “TESLA Technical Design Report Part III: Physics at an \(e^+e^-\) Linear Collider”, preprint DESY 2001-011 (2001), Scholar
  4. 4.
    American Linear Collider Working Group (T. Abe), “Linear collider physics resource book for Snowmass 2001”, Fermilab preprint FERMILAB-PUB-01-058-E (2001),, hep-ex/0106057, hep-ex/0106058, hep-ex/0106055, hep-ex/0106056, hep-ex/0106057, hep-ex/0106058.Google Scholar
  5. 5.
    A. Biernacik, K. Cieckiewicz, and K. Kolodziej, Eur. Phys. J. C20 (2001) 233-237, Scholar
  6. 6.
    K. Kolodziej, Eur. Phys. J. C23 (2002) 471-477, Scholar
  7. 7.
    A. Biernacik and K. Kolodziej, “Top quark pair production and decay at linear colliders: Signal vs. off resonance background”, to appear in: J. Blümlein (eds.), Proc. of 6th Int. Symp. on Radiative Corrections: Application of Quantum Field Theory Phenomenology (RADCOR 2002) and 6th Zeuthen Workshop on Elementary Particle Theory (Loops and Legs in Quantum Field Theory), Kloster Banz, Germany, 8-13 Sep 2002, Scholar
  8. 8.
    M. L. Nekrasov, Phys. Lett. B545 (2002) 119-126, Scholar
  9. 9.
    S. Dittmaier and M. Roth, Nucl. Phys. B642 (2002) 307-343, Scholar
  10. 10.
    J. Fujimoto and Y. Shimizu, Mod. Phys. Lett. 3A (1988) 581.Google Scholar
  11. 11.
    F. Yuasa et al., Prog. Theor. Phys. Suppl. 138 (2000) 18-23, Scholar
  12. 12.
    W. Beenakker, S. van der Marck, and W. Hollik, Nucl. Phys. B365 (1991) 24-78.Google Scholar
  13. 13.
    W. Hollik and C. Schappacher, Nucl. Phys. B545 (1999) 98-140, Scholar
  14. 14.
    D. Bardin, L. Kalinovskaya, and G. Nanava, “An electroweak library for the calculation of EWRC to \(e^+ e^- \to f {\bar f}\) within the CalcPHEP project”, Dubna preprint JINR E2-2000-292 (2000),, v.2 (12 Dec 2001) hep-ph/0012080, v.2 (12 Dec 2001).Google Scholar
  15. 15.
    D. Bardin et al., “Electroweak working group report”, in Reports of the Working Group on Precision Calculations for the Z Resonance, report CERN 95-03 (1995) (D. Bardin, W. Hollik, and G. Passarino, eds.), pp. 7-162, Scholar
  16. 16.
    Two Fermion Working Group (M. Kobel), “Two-fermion production in electron positron collisions”, in Reports of the working groups on precision calculations for LEP2 physics, Proc. of the Monte Carlo Workshop, Geneva, 1999-2000, report CERN 2000-09-D (2000) (S. Jadach, G. Passarino, and R. Pittau, eds.), pp. 269-378, Scholar
  17. 17.
    J. Fleischer, A. Leike, T. Riemann, and A. Werthenbach, Fortran program topfit.F v.0.91 (06 March 2002), + riemann/+.Google Scholar
  18. 18.
    J. Fleischer, A. Leike, T. Riemann, and A. Werthenbach, “Status of electroweak corrections to top pair production”, preprint DESY 02-203 (2002), to appear in Proc. of the Int. Workshop on Linear Colliders (LCWS 2002), 26-30 Aug 2002, Jeju Island, Korea, Scholar
  19. 19.
    J. Fleischer, T. Hahn, W. Hollik, T. Riemann, C. Schappacher, and A. Werthenbach, “Complete electroweak one-loop radiative corrections to top-pair production at TESLA: A comparison”, TESLA note LC-TH-2002-002 (2002), contribution to the second workshop of the extended ECFA/DESY study “Physics and Detectors for a 90 to 800 GeV Linear Collider”, 12-15 April 2002, Saint-Malo, France, Scholar
  20. 20.
    J. Fleischer, J. Fujimoto, T. Ishikawa, A. Leike, T. Riemann, Y. Shimizu, and A. Werthenbach, “One-loop corrections to the process \(e^+ e^- \to t \bar{t}\) including hard bremsstrahlung”, in Second Symposium on Computational Particle Physics (CPP, Tokyo, 28-30 Nov 2001), KEK Proceedings 2002-11 (2002) (Y. Kurihara, ed.), pp. 153-162, Scholar
  21. 21.
    A. Andonov et al., “Update of one loop corrections for \(e^+ e^- \to f \bar{f}\), first run of CalcPHEP system”, preprint CERN-TH/2001-308 (2001), CERN-TH/2002-068 (2002), Scholar
  22. 22.
    D. Bardin, M. Bilenky, G. Mitselmakher, T. Riemann, and M. Sachwitz, Z. Phys. C44 (1989) 493.Google Scholar
  23. 23.
    D. Bardin, P. Christova, M. Jack, L. Kalinovskaya, A. Olchevski, S. Riemann, and T. Riemann, Comput. Phys. Commun. 133 (2001) 229-395, Scholar
  24. 24.
    M. Tentyukov and J. Fleischer, Comput. Phys. Commun. 132 (2000) 124-141, Scholar
  25. 25.
    M. Tentyukov and J. Fleischer, “DIANA, a program for Feynman diagram evaluation”, hep-ph/9905560, see also + tentukov/+ +diana.html+.Google Scholar
  26. 26.
    J. Fleischer and M. Tentyukov, “A Feynman diagram analyser DIANA: Graphic facilities”, in: P. Bhat and M. Kasemann (eds.), Proc. of the VIIth Int. Workshop ACAT 2000, Batavia, USA, 16-20 Oct. 2000, AIP Conference Proceedings (Melville, New York, 2001), vol. 583, p. 193, Scholar
  27. 27.
    J. Vermaseren, “Symbolic manipulation with FORM” (Computer Algebra Nederland, Amsterdam, 1991).Google Scholar
  28. 28.
    J. Vermaseren, “New features of FORM”, Scholar
  29. 29.
    G. van Oldenborgh, Comput. Phys. Commun. 66 (1991) 1-15Google Scholar
  30. 30.
    T. Hahn and M. Perez-Victoria, Comput. Phys. Commun. 118 (1999) 153-165Google Scholar
  31. 31.
    G. Passarino and M. Veltman, Nucl. Phys. B160 (1979) 151.Google Scholar
  32. 32.
    J. Fleischer and F. Jegerlehner, Phys. Rev. D23 (1981) 2001-2026.Google Scholar
  33. 33.
    D. Bardin and N. Shumeiko, Nucl. Phys. B127 (1977) 242.Google Scholar
  34. 34.
    G. Passarino, Nucl. Phys. B204 (1982) 237-266.Google Scholar
  35. 35.
    G. Montagna, O. Nicrosini, and G. Passarino, Phys. Lett. B309 (1993) 436-442.Google Scholar
  36. 36.
    P. Christova, M. Jack, and T. Riemann, Phys. Lett. B456 (1999) 264-269, Scholar
  37. 37.
    M. Jack, “Semi-analytical calculation of QED radiative corrections to \(e^+e^-\to \bar{f}f\) with special emphasis on kinematical cuts to the final state”, preprint DESY-THESIS 2000-030 (August 2000), Scholar
  38. 38.
    W. Beenakker, “Electroweak corrections: Techniques and applications”, Ph.D. thesis, Univ. Leiden, 1989.Google Scholar
  39. 39.
    M. Böhm, A. Denner, and H. Joos, Gauge Theories of the Strong and Electroweak Interaction (Teubner, Stuttgart, 2001).Google Scholar
  40. 40.
    J. Fleischer, F. Jegerlehner, and M. Zralek, Z. Phys. C42 (1989) 409.Google Scholar
  41. 41.
    O. V. Tarasov, Phys. Rev. D54 (1996) 6479-6490, Scholar
  42. 42.
    J. Fleischer, F. Jegerlehner, and O. V. Tarasov, Nucl. Phys. B566 (2000) 423-440, Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • J. Fleischer
    • 1
    Email author
  • A. Leike
    • 2
  • T. Riemann
    • 3
  • A. Werthenbach
    • 3
    • 4
  1. 1.Fakultät für PhysikUniversität BielefeldBielefeldGermany
  2. 2.Sektion PhysikUniversität MünchenMünchenGermany
  3. 3.DESY ZeuthenDeutsches Elektronen-SynchrotronZeuthenGermany
  4. 4.Theory DivisionCERNGeneva 23

Personalised recommendations