Three Loop Leading Top Mass Contributions to the ρ Parameter

  • Michael Faisst
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 616)


We present analytic results for the three loop heavy top quark contributions of the electroweak ρ parameter. The calculation is carried out using the standard model lagrangian with vanishing gauge couplings. Within this gaugeless limit the masses of the Higgs boson M H and of the top quark m t are the single relevant mass scales. In the present calculation [1] we have investigated the behaviour of the ρ parameter in the limit of a Higgs mass equal to zero.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. J. van der Bij, K. G. Chetyrkin, M. Faisst, G. Jikia and T. Seidensticker, Phys. Lett. B 498 (2001) 156.ADSGoogle Scholar
  2. 2.
    M. Veltman, Nucl. Phys. B 123 (1977) 89.CrossRefADSGoogle Scholar
  3. 3.
    For a review see, e.g. V.A. Smirnov, Mod. Phys. Lett. A 10 (1995) 1485 and references therein.ADSGoogle Scholar
  4. 4.
    R. Mertig, Comp. Phys. Commun. 111 (1998) 265.zbMATHCrossRefADSGoogle Scholar
  5. 5.
    J. Fleischer and M.Yu. Kalmykov, Comp. Phys. Commun. 128 (2000) 531.zbMATHCrossRefADSGoogle Scholar
  6. 6.
    P. Nogueira, J. Comp. Phys. 105 (1993) 279.zbMATHCrossRefADSMathSciNetGoogle Scholar
  7. 7.
    T. Seidensticker, Diploma thesis (University of Karlsruhe, 1998), unpublished.Google Scholar
  8. 8.
    S.A. Larin, F.V. Tkachov, and J.A.M. Vermaseren, preprint NIKHEF-H/91-18 (1991).Google Scholar
  9. 9.
    M. Steinhauser, Comp. Phys. Commun. 134 (2001) 335; see also PhD thesis (University of Karlsruhe), Shaker Verlag, Aachen, 1996.zbMATHCrossRefADSGoogle Scholar
  10. 10.
    J.A.M. Vermaseren, Symbolic Manipulation with FORM, CAN (1991).Google Scholar
  11. 11.
    A. Djouadi and C. Verzegnassi, Phys. Lett. B 195 (1990) 265; A. Djouadi, Nuovo Cim. 100A (1988) 357.ADSGoogle Scholar
  12. 12.
    J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477.ADSGoogle Scholar
  13. 13.
    J. Fleischer, O. V. Tarasov and F. Jegerlehner, Phys. Lett. B 319 (1993) 249.ADSGoogle Scholar
  14. 14.
    M. Faisst and T. Seidensticker, in preparation.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Michael Faisst
    • 1
  1. 1.Institut für Theoretische TeilchenphysikUniversität KarlsruheKarlsruheGermany

Personalised recommendations