Theoretical Implications of Precision Electroweak Data

  • G. Altarelli
Part of the The Subnuclear Series book series (SUS, volume 29)

Abstract

The main goal of LEP 1 is to perform precision tests of the standard electroweak theory[1] at the Z peak. Theoretical predictions in the Standard Model for all relevant observables have been developed in detail[2]. I refer the reader to my talks[3] at some recent conferences for concise summaries and for many relevant discussions that I will not repeat here. One starts from the Standard Model Lagrangian and a conveniently chosen set of input parameters. The interesting quantities are computed in perturbation theory. The lowest-order formulae plus one-loop radiative corrections[4], often improved by important renormalization group resummations, provide a sufficiently accurate approximation to match the precision of realistic experiments and to allow quite significant tests of the theory. For LEP physics, a self-imposing set of input parameters is given by αs, α, GF, mz, mf and mH. Clearly the Fermi coupling GF = 1.16637(22) × 10-5GeV-2 is conceptually more complicated than \({{\alpha }_{{weak}}} = \frac{{{{g}^{2}}}}{{4\pi }}\) (which would more naturally accompany α = 1/137.036 and αs) or sin2 θw or mw but is preferred for practical reasons because it is known with all the desirable accuracy. Similarly, mz has now been measured at LEP with remarkable precision. This preliminary task of LEP in view of precision tests of the Standard Model has already been accomplished to a nearly final degree of accuracy.

Keywords

Peris Cesium Deconvolution Clarification Larg 

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References

  1. [1]
    S.L Glashow, Nucl. Phys. 22 (1961) 579. S. Weinberg, Phys. Rev. Lett. 19 (1967) 1264; A. Salam, Proceedings of the 8th Nobel Symposium, Aspenäsgarden, ed. N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367.CrossRefGoogle Scholar
  2. [2]
    Z. Physics at LEP 1, eds. G. Altarelli, R. Kleiss and C. Verzegnassi, CERN Yellow Report 89-08 (1989).Google Scholar
  3. [3]
    G. Altarelli, Proceedings of the 1989 International Symposium on Lepton and Photon Interactions at High Energies, Stanford, 1989, ed. M. Riordan (World Scientific), p. 286; G. Altarelli, Proceedings of the Neutrino 90 Conference, Geneva, Nucl. Phys. B19 (Proc. Suppl.) (1991) 354.Google Scholar
  4. [4]
    M. Consoli, W. Hollik and F. Jegerlehner, Electroweak radiative corrections for Z Physics, Ref. 2, Vol. 1, p. 7.Google Scholar
  5. [5]
    J. Carter, Proceedings of the LP-HEP 91 Conference, Geneva, July 1991.Google Scholar
  6. [6]
    M. Davier, Proceedings of the LP-HEP 91 Conference, Geneva, July 1991.Google Scholar
  7. [7]
    See for example: H.P. Nilles, Physics Report C110 (1984) 1; H.E. Haber, and G.L. Kane, Phys. Reports C117 (1985) 75; R. Barbieri, Riv. Nuovo Cimento 11 (1988) 1.Google Scholar
  8. [8]
    P.J. Franzini, P. Taxil et al., Higgs Search, in Ref. [2] Vol. 2, p 59.Google Scholar
  9. [9]
    See, for example, M. Sher, Phys. Reports 179 (1989) 273, and L. Maiani, Rome preprint 775 (1991), lectures given at the Cargèse Summer School, 1990.CrossRefGoogle Scholar
  10. [10]
    T. Hebbeker, Proceedings of the LP-HEP 91 Conference, Geneva, July 1991.Google Scholar
  11. [11]
    See, for example, V.A. Novikov, L.B. Okun, and M.I. Vysotsky, CERN-TH 6053 (1991Google Scholar
  12. [12]
    A. Sirlin, Phys. Rev. D22 (1980) 971; W.J. Marciano and A. Sirlin, Phys. Rev. D22 (1980), 2659, Phys. Rev. D29 (1984) 75, 945.Google Scholar
  13. [13]
    G. Burgers, F. Jegerlehner et al., Δr or the relation between the electroweak couplings and the weak vector boson masses, Ref. [1], Vol. 1, p. 55.Google Scholar
  14. [14]
    H. Plothow-Besch, Proceedings of the LP-HEP 91 Conference, Geneva, July 1991.Google Scholar
  15. [15]
    R.G. Stuart, Z Phys. C34 (1987) 445; A. Blondel, CERN preprint EP/89-84 (1989).Google Scholar
  16. [16]
    J.V. Allaby et al., Phys. Lett. B177 (1986) 446, Z. Phys. C36 (1987) 611.Google Scholar
  17. [17]
    H. Abramowicz et al., Phys. Rev. Lett. 57 (1986) 298; A. Blondel et al.., Z. Phys. C45 (1990) 361.CrossRefGoogle Scholar
  18. [18]
    G.L. Fogli, Private communication. I am grateful to G.L. Fogli for providing me with these curves.Google Scholar
  19. [19]
    U. Amaldi, A. Böhm et al., Phys. Rev. D36 (1987) 1385; G. Costa, J. Ellis et al., Nucl. Phys. B297 (1988) 244.Google Scholar
  20. [20]
    P. Langacker, in Review of Particle Properties, Phys. Lett. 239 (1990) 1; W.J. Marciano, BNL-45999 (1991).Google Scholar
  21. [21]
    F.A. Berends et al., Ref. [1], Vol. 1, p. 89; the authors of ZSHAPE are W. Beenakker, F.A. Berends and S. Van der Marck.Google Scholar
  22. [22]
    D.C. Kennedy, B.W. Lynn, C.J.-C In and R.G. Stuart, Nucl. Phys. B321 (1989), 83 (EXPOSTAR).CrossRefGoogle Scholar
  23. [23]
    A. Borrelli, M. Consoli, L. Maiani and R. Sisto, Nucl. Phys. B333 (1989) 357.Google Scholar
  24. [24]
    D. Bardin et al., Comp. Phys. Commun. 59 (1990) 303. A. Akhundov et al., Nucl. Phys. B276 (1986) 1; D. Bardin et al., Z. Phys. 38 (1990) 493.CrossRefGoogle Scholar
  25. [25]
    W. Hollik, Fortsch. f. Physik 38 (1990) 65.Google Scholar
  26. [26]
    S. Jadach, B.F.L. Ward and Z. Was, CERN preprint TH.5994/91 (1991) to be published in Comp. Phys. Commun.Google Scholar
  27. [27]
    V. Nikolaenko, Proceedings of the LP-HEP Conference, Geneva, July 1991.Google Scholar
  28. [28]
    M. Böhm, and W. Hollik, in Ref. [2], p. 203; J.H. Kühn, and P.M. Zerwas, in Ref. [2], p. 267.Google Scholar
  29. [29]
    P. Langacker, and M. Wu, VPR-0466T; S. Banerjee, S.N. Ganguli, and A. Gurter, TLFR/EHEP 91-1; J. Ellis, Proceedings of the LP-HEP 91 Conference, Geneva, July 1991; J. Carter, Ref. 5.Google Scholar
  30. [30]
    G. Altarelli, R. Baxbieri, and S. Jadach, CERN-TH.6124/91.Google Scholar
  31. [31]
    M.E. Peskin and T. Takeuchi, Phys. Rev. Lett. 65 (1990) 964.CrossRefGoogle Scholar
  32. [32]
    B. Holdom and J. Terning, Phys. Lett. B247 (1990) 88; M. Golden and L. Randall, Fermilab-Pub. 90-83-T (1990); A. Dobado et al., Phys. Lett. B255 (1991) 405; R.D. Peccei and S. Peris, UCLA preprint UCLA-TEP/91/13 (1991).Google Scholar
  33. [33]
    G. Altarelli and R. Barbieri, Phys. Lett. B253 (1190) 161.Google Scholar
  34. [34]
    W.J. Marciano and J.L. Rosner, Phys. Rev. Lett. 65 (1990) 2963.CrossRefGoogle Scholar
  35. [35]
    D.C. Kennedy and P. Langacker, Phys. Rev. Lett. 65 (1990) 2967 and preprint UPR-0467T; A. Ali and G. Degrassi, DESY preprint, DESY 91-035 (1991).CrossRefGoogle Scholar
  36. [36]
    B. Grinstein and M. Wise, HUTP-91/A015 (1991).Google Scholar
  37. [37]
    M. Consoli, S. Lopresti and L. Maiani, Nucl. Phys. B223 (1983) 472.Google Scholar
  38. [38]
    D.C. Kennedy and B.W. Lynn, Nucl. Phys. B322 (1989) 1; D.C. Kennedy et al., Nucl. Phys. B231 (1989) 83; B.W. Lynn, SU-ITP-867 (1989).CrossRefGoogle Scholar
  39. [39]
    A. Sirlin, CERN preprint TH.5506/89 (1989).Google Scholar
  40. [40]
    M. Veltman, Nucl. Phys. B123 (1977) 89; M.S. Chanowitz et al., Phys. Lett. 78B (1978) 285.CrossRefGoogle Scholar
  41. [41]
    G. Passarino and M. Veltman, Nucl. Phys. B160 (1979) 151.CrossRefGoogle Scholar
  42. [42]
    A.A. Akundovet al., Nucl. Phys. B276 (1988) 1; F. Diakonov and W. Wetzel, HD-THEP-88-4 (1988); W. Beenakker and W. Hollik, Z. Phys. C40 (1988) 569; J. Bernabeu, A. Pich and A. Santamaria, Phys. Lett. B200 (1988) 569; CERN preprint, CERN-TH.5931/90 (1990); B.W. Lynn and R.G. Stuart, CERN preprint TH.5786/90 (1990).Google Scholar
  43. [43]
    D. Geigerat et al., CHARM II Collaboration, Phys. Lett. B232 (1989) 539.Google Scholar
  44. [44]
    M.C. Noecker et al., Phys. Rev. Lett. 61 (1988) 310; M. Bouchiat, Proceedings of the 12th International Atomic Physics Conference (1990).CrossRefGoogle Scholar
  45. [45]
    S.A. Blundell et al., Phys. Rev. Lett. 65 (1990) 1411; V. Dzuba et al., Phys. Lett. A141 (1989) 147.CrossRefGoogle Scholar
  46. [46]
    R. Casalbuoni et al., Phys. Lett. B258 (1991) 161. R.N. Cahn and M. Suzuki, LBL-30351 (1991); C. Roisnel, and Tran N. Truong, Phys. Lett. B253 (1991) 439.Google Scholar
  47. [47]
    M. Danilov, Proceedings of the LP-HEP 91 Conference, Geneva, July 1991.Google Scholar
  48. [48]
    P. Wells, Proceedings of the 4th International Symposium on Heavy Flavour Physics, Orsay, Prance, 1991.Google Scholar
  49. [49]
    G. Altarelli, and S. Petrarca, Phys. Lett. B261 (1991) 303.Google Scholar
  50. [50]
    B. Grzadkowski, and W.S. Hou, Paul Sherrer Inst. preprint PSI-PR-91-20 (1991).Google Scholar
  51. [51]
    A. Dobrovolskaya, Proceedings of the 4th International Symposium on Heavy Flavour Physics, Orsay, France, 1991.Google Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • G. Altarelli
    • 1
  1. 1.CERNGenevaSwitzerland

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