Skip to main content
SpringerLink
Log in

Solution of singlet and non-singlet unpolarized DGLAP evolution equations in next-to-next-to-leading order (NNLO) by method of characteristics

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

In this paper, the singlet and non-singlet structure functions have been obtained by solving Dokshitzer, Gribov, Lipatov, Altarelli, Parisi evolution equations in next-to- next-to-leading order at the small x limit. Here we have used Taylor Series expansion and then the method of characteristics to solve the evolution equation. We have also calculated t and x-evolutions of deuteron structure function as well as non singlet structure function and the results have been compared with the New Muon Collaboration, E665 experimental data, CLAS Collaboration and NNPDF Collaboration data.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. V N Gribov and L N Lipatov Soviet J. Nucl. Phys. 15 438 (1972)

    Google Scholar 

  2. L N Lipatov Soviet J. Nucl. Phys. 20 95 (1975)

    ADS  Google Scholar 

  3. Yu Dokshitzer Soviet Phys. JETP 46 641 (1977)

    ADS  Google Scholar 

  4. G Altarelli and G Parisi Nucl. Phys. B 126 298 (1977)

    Article  ADS  Google Scholar 

  5. R D Ball and S Forte Phys. Lett. B335 77 (1994)

    ADS  Google Scholar 

  6. A V Kotikov and G Parente Nucl. Phys. B549 242 (1999)

    Article  ADS  Google Scholar 

  7. T Gehrmann and W J Stirling Phys. Lett. B365 267 (1996)

    Google Scholar 

  8. S Forte and R D Ball Acta Phys. Pol. B26 2087 (1995)

    Google Scholar 

  9. L Mankiewick, A Saalfeld and T Weigl Phys. Lett. B393 175 (1997)

    ADS  Google Scholar 

  10. W L van Neerven and A Vogt Nucl. Phys. B588 345 (2000)

    Article  ADS  Google Scholar 

  11. S Moch, J A M Vermaseren and A Vogt Nucl. Phys. B688 101 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  12. S Moch and J A M Vermaseren Nucl. Phys. B573 853 (2000)

    Article  ADS  Google Scholar 

  13. A Cafarella et al., Nucl. Phys. B748 253 (2006)

    Article  ADS  Google Scholar 

  14. A Vogt Comput. Phys. Commun. 170 65 (2005)

    Article  ADS  Google Scholar 

  15. M Botje Eur. Phys. J. C14 285 (2000)

    Article  ADS  Google Scholar 

  16. A Cafarella, C Coriano and M Guzzi Comput. Phys. Commun. 179 665 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  17. G P Salam and J Rojo Comput. Phys. Commun. 180 120 (2009)

    Article  ADS  Google Scholar 

  18. W Furmanski and R Petronzio Z. Phys. C11 293 (1982)

    ADS  Google Scholar 

  19. R Baishya and J K Sarma Eur. J. Phys. C60 4 (2009)

    Google Scholar 

  20. W L van Neerven and A Vogt Nucl. Phys. B568 263 (2000)

    Article  ADS  Google Scholar 

  21. W L van Neerven and A Vogt Phys. Lett. B490 111 (2000)

    ADS  Google Scholar 

  22. S Moch, J A M Vermaseren and A Vogt Nucl. Phys. Proc. Suppl. 116 100 (2003)

    Article  ADS  Google Scholar 

  23. A Vogt, S Moch and J A M Vermaseren Nucl. Phys. B691 1129 (2004)

    MathSciNet  Google Scholar 

  24. R Baishya and J K Sarma, Phys. Rev. D74 107702 (2006)

    ADS  Google Scholar 

  25. R Baishya and J K Sarma Indian J. Phys. 83 1333 (2009)

    Article  ADS  Google Scholar 

  26. R Baishya and J K Sarma Indian J. Phys. 84 1701 (2010)

    Article  ADS  Google Scholar 

  27. D K Choudhury and S Islam Indian J. Phys. 85 319 (2011)

    Article  ADS  Google Scholar 

  28. M Arneodo et al., CERN-NA-037, NMC, Nucl. Phys. B483 3 (1997)

  29. CLAS Collaboration, Osipenka et al., Phys. Rev. C73 045205 (2006)

  30. The NNPDF Collaboration; L D Debbio, S Forte, J I Latorre, A Piccione and J Rojo J. High Energy Phys. 03 080 (2005)

  31. E-665 Collab, M R Adams et al., Phys. Rev. D54 3006 (1996)

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Jawaharlal Nehru College, Boko, 781 123, Assam, India

    R. Baishya

  2. Department of Physics, Tezpur University, Napaam, 784 028, Assam, India

    J. K. Sarma

Authors
  1. R. Baishya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. K. Sarma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. Baishya.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baishya, R., Sarma, J.K. Solution of singlet and non-singlet unpolarized DGLAP evolution equations in next-to-next-to-leading order (NNLO) by method of characteristics. Indian J Phys 86, 145–150 (2012). https://doi.org/10.1007/s12648-012-0022-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-012-0022-5

Keywords

PACS Nos.

Search

Navigation