Skip to main content
SpringerLink
Log in

Further results on the Altarelli Parisi equations in the next to leading order

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We present here to next-to-leading order, (1) a ‘one-step’ Altarelli-Parisi (A-P) equation for the singlet structure function, (2) values of anomalous dimensions which are not accessible through the operator product expansion, (3) an example of the numerical solution of the A-P equation, and (4) the inhomogeneous A-P equation for the photon structure function. All these should be helpful for the QCD analysis of scaling violation.

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. C. Fox: Nucl. Phys. B131, 107 (1977)

    Google Scholar 

  2. D. Gross: Phys. Rev. Lett.32, 1071 (1974)

    Google Scholar 

  3. A. Gonzalez-Arroyo, C. Lopez, F. J. Yndurain: Nucl. Phys. B153, 161 (197); B 166, 429 (1980)

    Google Scholar 

  4. A. J. Buras, K. J. F. Gaemers: Nucl. Phys. B132, 249 (1978)

    Google Scholar 

  5. A. Bialas, A. J. Buras: Phys. Rev. D21, 1825 (1980)

    Google Scholar 

  6. G. Curci, W. Furmanski, R. Petronzio: Nucl. Phys. B175, 27 (1980); W. Furmanski, R. Petronzio: Phys. Lett.97 B, 437 (1980)

    Google Scholar 

  7. R. T. Herrod, S. Wada: Phys. Lett.96B, 195 (1980)

    Google Scholar 

  8. E. G. Floratos, R. Lacaze, C. Kounnas: Phys. Lett.98B, 89, 285 (1981)

    Google Scholar 

  9. E. G. Floratos, D. A. Ross, C. T. Sachrajda: Nucl. Phys. B129, 66 (1977); B139, 545 (1978) (Erratum); B152, 493 (1979)

    Google Scholar 

  10. J. F. Owens, E. Reya: Phys. Rev. D17, 3003 (1978)

    Google Scholar 

  11. S. J. Brodsky: SLAC-PUB-2447, presented at the Summer Institute on Particle Physics at SLAC (1979)

  12. G. Altarelli, G. Parisi: Nucl. Phys. B126, 298 (1977)

    Google Scholar 

  13. G. Altarelli, R. K. Ellis, G. Martinelli: Nucl. Phys. B143, 521 (1978)

    Google Scholar 

  14. S. P. Luttrell, S. Wada: Nucl. Phys. (to be published)

  15. E. Witten: Nucl. Phys. B120, 189 (1977)

    Google Scholar 

  16. W. A. Bardeen, A. J. Buras: Phys. Rev. D20, 166 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Cavendish Laboratory, Cambridge University, CB3 0HE, Cambridge, UK

    R. T. Herrod, S. Wada & B. R. Webber

Authors
  1. R. T. Herrod
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Wada
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. R. Webber
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported in part by the U.K. Science Research Council

Rights and permissions

Reprints and permissions

About this article

Cite this article

Herrod, R.T., Wada, S. & Webber, B.R. Further results on the Altarelli Parisi equations in the next to leading order. Z. Phys. C - Particles and Fields 9, 351–358 (1981). https://doi.org/10.1007/BF01548772

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01548772

Keywords

Search

Navigation