Skip to main content
SpringerLink
Log in

Connection formulas between the different QCD orders in application to the valence parton distribution functions

  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

Formulas directly connecting parton distribution functions (PDFs) at the leading (LO) and next to leading (NLO) QCD orders are applied with respect to both unpolarized and polarized valence PDFs. It is shown that the connection formulas allow without any restriction on the allowed Q 2 range for the analyzed data to produce improved LO results on valence PDFs, which strongly differ from the standard parametrizations on these quantities, and which could be obtained within the standard approach only by using the data produced at very high Q 2 values (that is hardly possible in reality).

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. M. Alekseev, V. Yu. Alexakhin, Yu. Alexandrov, et al. (COMPASS Collab.), Phys. Lett. B 693, 227 (2010).

    Article  ADS  Google Scholar 

  2. A. Airapetian, N. Akopov, Z. Akopov, et al. (HERMES Collab.), Phys. Rev. D 87, 074029 (2013).

    Article  ADS  Google Scholar 

  3. O. Yu. Shevchenko, Phys. Rev. D 87, 114004 (2013).

    Article  ADS  Google Scholar 

  4. W. Furmanski and R. Petronzio, Phys. Lett. B 97, 437 (1980).

    Article  ADS  Google Scholar 

  5. W. Vogelsang, Phys. Rev. D 54, 2023 (1996).

    Article  ADS  Google Scholar 

  6. J. S. Conway, C. E. Adolphsen, J. P. Alexander, K. J. Anderson, J. G. Heinrich, J. E. Pilcher, A. Possoz, and E. I. Rosenberg, Phys. Rev. D 39, 92 (1989).

    Article  ADS  Google Scholar 

  7. A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C 63, 189 (2009); arXiv:0901.; arXiv:0901.0002 [hepph].

    Article  ADS  Google Scholar 

  8. O. Y. Shevchenko, R. R. Akhunzyanov, and V. Y. Lavrentyev, Eur. Phys. J. C 71, 1713 (2011).

    Article  ADS  Google Scholar 

  9. M. Alekseev, V. Yu. Alexakhin, Yu. Alexandrov, et al. (COMPASS Collab.), Phys. Lett. B 660, 458 (2008).

    Article  ADS  Google Scholar 

  10. M. Gluck, E. Reya, M. Stratmann, and W. Vogelsang, Phys. Rev. D 63, 094005 (2001).

    Article  ADS  Google Scholar 

  11. D. de Florian, R. Sassot, M. Stratmann, and W. Vogelsang, Phys. Rev. D 80, 034030 (2009).

    Article  ADS  Google Scholar 

  12. S. Albino, B. A. Kniehl, and G. Kramer, Nucl. Phys. B 803, 42 (2008).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russia

    O. Yu. Shevchenko & R. R. Akhunzyanov

Authors
  1. O. Yu. Shevchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. R. Akhunzyanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. Yu. Shevchenko.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shevchenko, O.Y., Akhunzyanov, R.R. Connection formulas between the different QCD orders in application to the valence parton distribution functions. Jetp Lett. 99, 425–430 (2014). https://doi.org/10.1134/S0021364014080128

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364014080128

Keywords

Search

Navigation