Radiative Corrections to Boson Pair Production in e+e- Annihilation

  • M. Böhm
Conference paper


The expected accuracy of the experiments of SLC and especially LEP I is a great challenge for theorists to produce adequate predictions for e+e- annihilation into fermion pairs at the Z resonance. Indeed their response for the physics of the Z peak is remarkable: Complete 1-loop calculations and summations of leading higher order terms are available [16]. This opens the possibility for a precise determination of the Z mass — one of the fundamental parameters of the standard model (SM) — and for first accurate tests by measuring the partial and total widths of the Z. Compared to this, physics which is not supported by such a fantastic resonance bonus looks not so exciting, but in any case has its merits. Z physics is directly sensitive only to the more convenient subsector of the SM. Parts like the non-Abelian couplings, the mass generation mechanism can be tested more directly in other reactions. Therefore, W pair production at LEP II will be one of the other fields where parameters of the SM — the W mass, the non-Abelian couplings — can directly be investigated. For the desired accuracy 1-loop corrections are required. Therefore, it is important to have complete O(α) corrections to e+e- → W+W- but also for the annihilation into neutral boson pairs: e+e-γγ, γZ, ZZ. The cross sections for these processes (see fig. 1.1) are comparable to the μ-pair QED cross section and therefore can be measured with good accuracy. Especially the γγ process is interesting since it is in lowest order still a pure QED reaction. Moreover the radiative corrections to it do not depend on the unknown parameters of the SM like the Higgs mass or the masses of the quarks or the hadronic contribution to the vacuum polarization. Therefore, this process is very clean. Any deviation from the QED (plus its tiny weal: correction) results is the sign for new physics.


Gauge Boson Higgs Mass Radiative Correction Vacuum Polarization 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]
    M. Böhm, W. Hollik H. Spiesberger: Progr. Phys. 34, 687 (1986)Google Scholar
  2. [2]
    A. Sirlin: Phys. Rev. D22, 2695 (1980)CrossRefGoogle Scholar
  3. [3]
    F. Berends, R. Gastmans: Nucl. Phys. B61, 414 (1973)CrossRefADSGoogle Scholar
  4. [4]
    M. Böhm, T. Sack: Z. Phys. C33, 157 (1986)Google Scholar
  5. [5]
    M. Böhm, T. Sack: Z. Phys. C35, 119 (1987)Google Scholar
  6. [6]
    A. Denner, T. Sack: Nucl. Phys. B305, 221 (1988)CrossRefADSGoogle Scholar
  7. [7]
    A. Denner, T. Sack: Nucl. Phys. B, in print (1988)Google Scholar
  8. [8]
    M. Böhm, A. Denner, T. Sack, W. Beenakker, F. Berends, H. Kuijf: Nucl. Phys. B304, 463 (1988).CrossRefADSGoogle Scholar
  9. [9]
    J. Fleischer, F. Jegerlehner, M. Zralek: Z. Phys. C42, 409 (1989)Google Scholar
  10. [10]
    M. Capdequi-Peyranere, G. Grunberg, F.M. Renard, M. Talon: Nucl. Phys. B149, 243 (1979)CrossRefADSGoogle Scholar
  11. [11]
    P. Mevy, M. Perrotet, F.M. Renard: CERN-TH 4741/87Google Scholar
  12. [12]
    F. Berends, G. Burgers, W. van Neerven: Leiden 1989Google Scholar
  13. [13]
    L. Brown, R.P. Feynman: Phys. Rev. 85, 231 (1952)CrossRefMATHADSGoogle Scholar
  14. [14]
    I. Harris, L. Brown: Phys. Rev. 105, 1656 (1957)CrossRefMATHADSGoogle Scholar
  15. [15]
    Y. Tsai: Phys. Rev. 137, B3730 (1965)CrossRefGoogle Scholar
  16. [16]
    See the other contributions of these proceedingsGoogle Scholar
  17. [17]
    G Passarino, M. Veltman: Nucl. Phys. B160, 151 (1979)CrossRefADSGoogle Scholar
  18. [18]
    G. ’t Hooft, M. Veltman: Nucl. Phys. B153, 365 (1979)Google Scholar
  19. [19]
    R. Mertig: Application of symbolic manipulation programs for Feynman diagrams in non-Abelian gauge theories, Diploma Thesis Würzburg, 1989Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • M. Böhm
    • 1
  1. 1.Physikalisches Institut der Universität WürzburgWürzburgFed. Rep. of Germany

Personalised recommendations