Skip to main content
SpringerLink
Log in

NLO prescription for unintegrated parton distributions

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We show how parton distributions unintegrated over the parton transverse momentum, k t , may be generated, at NLO accuracy, from the known integrated (DGLAP-evolved) parton densities determined from global data analyses. A few numerical examples are given, which demonstrate that sufficient accuracy is obtained by keeping only the LO splitting functions together with the NLO integrated parton densities. However, it is important to keep the precise kinematics of the process, by taking the scale to be the virtuality rather than the transverse momentum, in order to be consistent with the calculation of the NLO splitting functions.

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. Watt, A.D. Martin, M.G. Ryskin, Eur. Phys. J. C 31, 73 (2003). arXiv:hep-ph/0306169

    Article  ADS  Google Scholar 

  2. G. Watt, A.D. Martin, M.G. Ryskin, Phys. Rev. D 70, 014012 (2004). Erratum: Phys. Rev. D 70, 079902 (2004). arXiv:hep-ph/0309096

    Article  ADS  Google Scholar 

  3. V.A. Saleev, Phys. Rev. D 78, 114031 (2008). arXiv:0812.0946 [hep-ph]

    Article  ADS  Google Scholar 

  4. F. Hautmann, H. Jung, J. High Energy Phys. 0810, 113 (2008). arXiv:0805.1049 [hep-ph]

    Article  ADS  Google Scholar 

  5. A.D. Martin, M.G. Ryskin, T. Teubner, Phys. Rev. D 62, 014022 (2000). arXiv:hep-ph/9912551

    Article  ADS  Google Scholar 

  6. V.A. Khoze, A.D. Martin, M.G. Ryskin, Eur. Phys. J. C 14, 525 (2000). arXiv:hep-ph/0002072

    Article  ADS  Google Scholar 

  7. V.A. Khoze, A.D. Martin, M.G. Ryskin, Eur. Phys. J. C 23, 311 (2002). arXiv:hep-ph/0111078

    Article  ADS  Google Scholar 

  8. E.M. Levin, M.G. Ryskin, Y.M. Shabelski, A.G. Shuvaev, Sov. J. Nucl. Phys. 53, 657 (1991). [Yad. Fiz. 53, 1059 (1991)]

    Google Scholar 

  9. S. Catani, M. Ciafaloni, F. Hautmann, Nucl. Phys. B 366, 135 (1991)

    Article  ADS  Google Scholar 

  10. J.C. Collins, R.K. Ellis, Nucl. Phys. B 360, 3 (1991)

    Article  ADS  Google Scholar 

  11. M.A. Kimber, A.D. Martin, M.G. Ryskin, Phys. Rev. D 63, 114027 (2001). arXiv:hep-ph/0101348

    Article  ADS  Google Scholar 

  12. J.C. Collins, X. Zu, J. High Energy Phys. 0503, 059 (2005). arXiv:hep-ph/0411332

    Article  ADS  Google Scholar 

  13. J.C. Collins, T.C. Rogers, A.M. Stasto, Phys. Rev. D 77, 085009 (2008). arXiv:0708.2833 [hep-ph]

    Article  ADS  Google Scholar 

  14. S. Jadach, M. Skrzypek, arXiv:0905.1399 [hep-ph]

  15. M. Slawinska, A. Kusina, arXiv:0905.1403 [hep-ph]

  16. M. Skrzypek, S. Jadach, arXiv:0909.5588 [hep-ph]

  17. Y.L. Dokshitzer, V.A. Khoze, A.H. Mueller, S.I. Troian, Basics of Perturbative QCD (Frontieres, Gif-sur-Yvette, 1991), 274 pp.

    Google Scholar 

  18. G. Curci, W. Furmanski, R. Petronzio, Nucl. Phys. B 175, 27 (1980)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, Eur. Phys. J. C 63, 189 (2009). arXiv:0901.0002 [hep-ph]

    Article  Google Scholar 

  21. P.M. Nadolsky et al., Phys. Rev. D 78, 013004 (2008). arXiv:0802.0007 [hep-ph]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Particle Physics Phenomenology, University of Durham, Durham, DH1 3LE, UK

    A. D. Martin, M. G. Ryskin & G. Watt

  2. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg, 188300, Russia

    M. G. Ryskin

Authors
  1. A. D. Martin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. G. Ryskin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Watt
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. Watt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martin, A.D., Ryskin, M.G. & Watt, G. NLO prescription for unintegrated parton distributions. Eur. Phys. J. C 66, 163–172 (2010). https://doi.org/10.1140/epjc/s10052-010-1242-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-010-1242-5

Keywords

Search

Navigation