Skip to main content
SpringerLink
Log in

Renormalization scheme dependence and the problem of theoretical uncertainties in next-next-to-leading order QCD predictions

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

Renormalization scheme uncertainties in the next-next-to-leading order QCD predictions are discussed. To obtain an estimate of these uncertainties it is proposed to compare predictions in all schemes that do not have unnaturally large expansion coefficients. A concrete prescription for eliminating the unnatural schemes is given, based on the requirement that large cancellations in the expression for the characteristic renormalization scheme invariant should be avoided. As an example the QCD corrections to the Bjorken sum rule are considered. The importance of the next-next-to-leading order corrections for a proper evaluation of perturbative QCD predictions is emphasized.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Grunberg: Phys. Lett. 95B (1980) 70

    Google Scholar 

  2. P.M. Stevenson: Phys. Lett. 100B (1981) 61, Phys. Rev. D23 (1981) 2916

    Google Scholar 

  3. W. Celmaster, D. Sivers: Phys. Rev. D23 (1981) 227

    Google Scholar 

  4. A. Dhar, V. Gupta: Phys. Lett. 101B (1981) 432

    Google Scholar 

  5. S.J. Brodsky, G.P. Lepage, P. Mackenzie: Phys. Rev. D28 (1983) 228

    Google Scholar 

  6. For a summary of early contributions see D.W. Duke, R.G. Roberts: Phys. Rep. 120 (1985) 275

    Google Scholar 

  7. P.A. Rączka. Phys. Rev. D46 (1992) R3699

    Google Scholar 

  8. Some of the observations reported in this note have been presented at the Educational Workshop “Basics of the Hadron Structure”, Warsaw, April 22–26, 1994, and at the XVII Kazimierz Meeting on Elementary Particle Physics, Kazimierz, Poland, May 23–27, 1994

  9. W.A. Bardeen, A.J. Buras, D.W. Duke, T. Muta: Phys. Rev. D18 (1978) 3998

    Google Scholar 

  10. W. Celmaster R.J. Gonsalves: Phys. Rev. D20 (1979) 1426

    Google Scholar 

  11. A. Dhar: Phys. Lett. 128B (1983) 407

    Google Scholar 

  12. A. Dhar, V. Gupta, Pram ana 21 (1983) 207, Phys. Rev. D29 (1984) 2822

    Google Scholar 

  13. C.J. Maxwell: Phys. Rev. D28 (1983) 2037

    Google Scholar 

  14. G. Grunberg, Phys. Rev. D29 (1984) 2315

    Google Scholar 

  15. M.R. Pennington, Phys. Rev. D26 (1982) 2048, J.C. Wrigley, Phys. Rev. D27 (1983) 1965, P.M. Stevenson, Phys. Rev. D27 (1983) 1968, J.A. Mignaco, I. Roditi, Phys. Lett. B126 (1983) 481

    Google Scholar 

  16. J. Bjorken, Phys. Rev. D1 (1970) 1376

    Google Scholar 

  17. E142 Coll., P.L. Anthony et al., Phys. Rev. Lett. 71 (1993) 959. SMC Coll., B. Adeva et al., Phys. Lett. B302 (1993) 533

    Google Scholar 

  18. SMC Coll., B. Adeva et al., Phys. Lett. B320 (1994) 400

    Google Scholar 

  19. S.A. Larin, J.A.M. Vermaseren. Phys. Lett. B259, 345 (1991).

    Google Scholar 

  20. J. Ellis, M. Karliner: Phys. Lett. B313 (1993) 131, preprint CERN-TH-7324/94, F.E. Close, R.G. Roberts, Phys. Lett. B316 (1993) 165, G. Altarelli, P. Nason, G. Ridolfi, Phys. Lett. B320 (1994) 152, G.G. Ross, R.G. Roberts, Phys. Lett. B322 (1994) 425

    Google Scholar 

  21. J. Kodaira, S. Matsuda, T. Muta, T. Uematsu, K. Sasaki: Phys. Rev. D20 (1979) 627, S.G. Gorishny, S.A. Larin, Phys. Lett. B172 (1986) 109

    Google Scholar 

  22. Particle Data Group, K. Hikasa et al., Phys. Rev. D45 (1994) III-54

    Google Scholar 

  23. P.A. Rączka, in preparation

  24. P.A. Raączka, in Proceedings of the Twelfth Warsaw Symposium on Elementary Particle Physics, Kazimierz, Poland 1989. edited by Z. Ajduk, S. Pokorski A.K. Wróblewski (World Scientific, Singapore, 1990), p. 422

    Google Scholar 

  25. G.B. West: Phys. Rev. Lett. 67 (1991) 1388; Err. ibid. G.B. West: Phys. Rev. Lett. 67, 3732 (1991)

    Google Scholar 

  26. J. Chýla, J. Fischer, P. Kolář Phys. Rev. D47 (1993) 2578

    Google Scholar 

  27. J. Chýla, A.L. Kataev, Phys. Lett. B297 (1992) 385

    Google Scholar 

  28. P.A. Rączka, A. Szymacha, preprint IFT-13-94, presented at the XVII Kazimierz Meeting on Elementary Particle Physics, Kazimierz, Poland May 23–27, 1994

  29. P.A. Rączka, A. Szymacha: in preparation

Download references

Author information

Author notes

  1. Piotr A. Rączka

    Present address: Institute of Theoretical Physics, Department of Physics, Warsaw University, ul. Hoża 69, 00-681, Warsaw, Poland

Authors and Affiliations

  1. High Energy Physics Division, Argonne National Laboratory, 60439, Argonne, IL, USA

    Piotr A. Rączka

Authors
  1. Piotr A. Rączka
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported by KBN grant no. 202739101, and the U.S. Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rączka, P.A. Renormalization scheme dependence and the problem of theoretical uncertainties in next-next-to-leading order QCD predictions. Z. Phys. C - Particles and Fields 65, 481–486 (1995). https://doi.org/10.1007/BF01556136

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01556136

Keywords

Search

Navigation