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Renormalization Schemes: Where do We Stand?

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Book cover Radiative Corrections

Part of the book series: NATO ASI Series ((NSSB,volume 233))

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Abstract

We consider the status of the current approaches to the application of the renormalization program to the standard SU2L × U1 theory from the standpoint of the interplay of the scheme chosen for such an application and the attendant high-precision tests of the respective loop effects. We thus review the available schemes and discuss their theoretical relationships. We also show how such schemes stand in numerical relation to one another in the context of high-precision Z 0 physics, as an illustration.

Work supported in part by Department of Energy contracts DE-AC03-76SF00515 and DE-AS05-76ER03956.

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References

  1. See, for example, B. F. L. Ward, Acta Phys. Pol. B19:465 (1988);

    Google Scholar 

  2. R. Rankin, Proc. MkII SLC Pajaro Dunes Workshop, J. Hu, ed., SLAC, Stanford, CA (1987);

    Google Scholar 

  3. G. Altarelli, Physics at LEP, J. Ellis and R. Peccei eds., CERN, Geneva, Switzerland (1985);

    Google Scholar 

  4. G. Altarelli, Proc. HERA Experiments, Genoa, Italy (1984);

    Google Scholar 

  5. G. Altarelli, Proc. La Thuile Workshop 1987, Vol. 1, J. H. Mulvey, ed., CERN, Geneva, Switzerland (1987) and references therein.

    Google Scholar 

  6. F. A. Berends et al, Nucl. Phys. B 297:249 (1988);

    Article  Google Scholar 

  7. M. Greco, La Rivista del Nuovo Cimento 11 n.5 (1988) and references therein.

    Google Scholar 

  8. See, for example, S. Jadach, preprint MPI-PAE/P Th 6/87; S. Jadach and B. F. L. Ward, Phys. Rev: D 38:2897 (1988); preprint UTHEP-88–0801;

    Article  ADS  Google Scholar 

  9. S. Jadach and B. F. L. Ward, Phys. Lett. 220B:611 (1989); SLAC-PUB-4834, to be published in Comp. Phys. Commun. (1989).

    ADS  Google Scholar 

  10. T. W. Applequist, J. R. Primack and H. R. Quinn, Phys. Rev. D 7:2998 (1973);

    Article  ADS  Google Scholar 

  11. W. J. Marciano and A. Sirlin, Phys. Rev. D 8:3612 (1973)

    Article  ADS  Google Scholar 

  12. (I); P. Salomonson and Y. Ueda, Phys. Rev. D 11:2606 (1975);

    Article  ADS  Google Scholar 

  13. R. Philippe, Phys. Rev. D 26:1588 (1982);

    Article  ADS  Google Scholar 

  14. D. A. Ross and J. C. Taylor, Nucl. Phys. B 51:125 (1973);

    Article  ADS  Google Scholar 

  15. M. Veltman, Phys. Lett 91B:95 (1980);

    ADS  Google Scholar 

  16. G. Passarono and M. Veltman, Nucl. Phys. B 160:151 (1979);

    Article  ADS  Google Scholar 

  17. A. Sirlin, Phys. Rev. D22:971 (1980);

    Google Scholar 

  18. W. J. Marciano and A. Sirlin, Phys. Rev. ibid., D 22:2695 (1980);

    Article  ADS  Google Scholar 

  19. W. J. Marciano and A. Sirlin, Nucl. Phys. B 189:442 (1981)

    Article  ADS  Google Scholar 

  20. (II); J. Fleischer and F. Jegerlehner, Phys. Rev. D 23:2001 (1981);

    ADS  Google Scholar 

  21. D. Yu. Bardin, P. Ch. Christova and O. M. Fedorenko, Nucl. Phys. B 175:435 (1980);

    Article  ADS  Google Scholar 

  22. D. Yu. Bardin, P. Ch. Christova and O. M. Fedorenko, Nucl. Phys. B ibid., B 197:1 (1982); preprint PHE 88–15 and references therein;

    Article  ADS  Google Scholar 

  23. C. H. Llewellyn-Smith and J. F. Wheater, Phys.Lett. 105B:486 (1981);

    Google Scholar 

  24. J. F. Wheater and C. H. Llewellyn-Smith, Nucl Phys. B 208:27 (1982);

    Article  ADS  Google Scholar 

  25. S. Sakakibara, Phys. Rev. D 24:1149 (1981);

    ADS  Google Scholar 

  26. K. Aoki, Z. Hioki, R. Kawabe, M. Konuma and T. Muta, Prog. Theor. Phys. 64:707 (1980);

    Article  ADS  Google Scholar 

  27. K. Aoki, Z. Hioki, R. Kawabe, M. Konuma and T. Muta, Prog. Theor. Phys.ibid., 65:1001 (1981);

    Article  ADS  Google Scholar 

  28. M. Igarashi, N. Nakazawa, T. Shimada and Y. Shimizu, Nucl. Phys. B 263:347 (1986);

    Article  ADS  Google Scholar 

  29. F. Antonelli, G. Corbo, M. Consoli and O. Pellegrino, Nucl Phys. B 183:195 (1981);

    Article  ADS  Google Scholar 

  30. E. A. Paschos and M. Wirbel, Nucl Phys. B 194:189 (1982);

    Article  ADS  Google Scholar 

  31. M. Consoli, S. Lo Presti and L. Maiani, Nucl Phys. B 223:474 (1983);

    Article  ADS  Google Scholar 

  32. W. Wetzel, Nucl Phys. B 227:1 (1983);

    Article  ADS  Google Scholar 

  33. J. P. Cole in “Trieste Workshop on Radiative Corrections in SU(2)L × U(1),” B. W. Lynn and J. F. Wheater, eds., World Scientific Publ. Co., Singapore (1984); Sussex preprint (March 1983);

    Google Scholar 

  34. R. W. Brown, R. Decker and E. A. Paschos, Phys. Rev. Lett. 52:1192 (1984);

    Google Scholar 

  35. W. Hollik and H.-J. Timme, Z. Phys. C 33:125 (1986);

    Article  ADS  Google Scholar 

  36. B. W. Lynn et al, SLAC-PUB-4128 (1988);

    Google Scholar 

  37. B. W. Lynn and R. G. Stuart, Nucl Phys. B 253:216 (1985);

    Article  ADS  Google Scholar 

  38. B. W. Lynn and D. C. Kennedy, SLAC-PUB-4039 (1986) and references therein;

    Google Scholar 

  39. M. Bohm, H. Spiesberger and W. Hollik, Fortschr. Phys. 34:687 (1986); W. F. L. Hollik, DESY preprint 88–188 and references therein.

    Google Scholar 

  40. G. ’t Hooft and M. Veltman, Nucl Phys. 544:189 (1972).

    Article  Google Scholar 

  41. S. Jadach and B. F. L. Ward, to appear.

    Google Scholar 

  42. B. W. Lee and J. Zinn-Justin, Phys. Rev. D 5:3121,3137,3155 (1972);

    Article  ADS  Google Scholar 

  43. Benjamin W. Lee, Phys. Rev. Dibid., 9:933 (1974);

    Article  ADS  Google Scholar 

  44. G. ’t Hooft and M. Veltman, Nucl Phys. B 50:318 (1972).

    Article  Google Scholar 

  45. See, for example, M. Chanowitz, M. Furman and I. Hinchliffe, Nucl Phys. B 159:225 (1979).

    Article  ADS  Google Scholar 

  46. See, for example, A. Rebhan, Phys. Rev. D 39:3101 (1989); A. Shiekh, IC/88/346 (1988) and references therein.

    Article  ADS  Google Scholar 

  47. See, for example, J. D. Bjorken and S. D. Drell, “Relativistic Quantum Fields,” McGraw-Hill Book Co., New York (1965).

    MATH  Google Scholar 

  48. S. Weinberg, Phys. Rev. D 8:3497 (1973);

    Article  ADS  Google Scholar 

  49. G. ’t Hooft, Nucl Phys. B 61:455 (1973).

    Article  ADS  Google Scholar 

  50. See, for example, W. J. Marciano and A. Sirlin, Phys. Rev. D 36:2191 (1987).

    Article  ADS  Google Scholar 

  51. See, for example, The CERN Electro-Weak Generators Working Group Report, R. Kleiss, ed., to appear.

    Google Scholar 

  52. R. Stuart, private communications (1987, 1988);

    Google Scholar 

  53. Z. Was, presentation at this meeting (1989).

    Google Scholar 

  54. Most of this large m t difference between rows 1 and 2 is due to a difference in the degree of resummation in the two calculations (W. Hollik, private communication, 1989).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Theory Division, CERN, Geneva, Switzerland

    B. F. L. Ward

  2. Stanford Linear Accelerator Center, Stanford University, Stanford, CA, 94309, USA

    B. F. L. Ward

  3. Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, 37996-1200, USA

    B. F. L. Ward

Authors
  1. B. F. L. Ward
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Editor information

Editors and Affiliations

  1. University of Sussex, Brighton, UK

    N. Dombey  & F. Boudjema  & 

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© 1990 Plenum Press, New York

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Ward, B.F.L. (1990). Renormalization Schemes: Where do We Stand?. In: Dombey, N., Boudjema, F. (eds) Radiative Corrections. NATO ASI Series, vol 233. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9054-1_9

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  • DOI: https://doi.org/10.1007/978-1-4684-9054-1_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9056-5

  • Online ISBN: 978-1-4684-9054-1

  • eBook Packages: Springer Book Archive

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