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The approximation method for calculation of the exponents of the gluon distribution, λ g , and the structure function, λ S ,at low x

  • Elementary Particles and Fields
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Abstract

We present a set of formulas using the solution of the QCD Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation to extract of the exponents of the gluon distribution, λ g , and structure function, λ S , from the Regge-like behavior at low x. The exponents are found to be independent of x and to increase linearly with lnQ 2 and are compared with the most data from the H1 Collaboration. We also calculated the structure function F 2(x,Q 2) and the gluon distribution G(x,Q 2) at low x assuming the Regge-like behavior of the gluon distribution function at this limit and compared them with an NLO-QCD fit to theH1 data, two-Pomeron fit, multipole Pomeron exchange fit, and MRST (A.D. Martin, R.G. Roberts, W.J. Stirling, and R.S. Thorne), DL (A. Donnachie and P.V. Landshoff), and NLO GRV (M. Glük, E. Reya, and A. Vogt) fit results.

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References

  1. Yu. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977); G. Altarelli and G. Parisi, Nucl. Phys. B 126, 298 (1977); V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).

    ADS  Google Scholar 

  2. A. De Rujula et al., Phys. Rev. D 10, 1649 (1974); R. D. Ball and S. Forte, Phys. Lett. B 335, 77 (1994).

  3. H1 Collab. (C. Adloff et al.), Phys. Lett. B 520, 183 (2001).

    Article  ADS  Google Scholar 

  4. A. V. Kotikov and G. Parente, Phys. Lett. B 379, 195 (1996).

    Article  ADS  Google Scholar 

  5. J. K. Sarma and G. K. Medhi, Eur. Phys. J. C 16, 481 (2000).

    Article  ADS  Google Scholar 

  6. P. D. Collins, An Introduction to Regge Theory an High-Energy Physics (Cambridge Univ. Press, Cambridge, 1997).

    Google Scholar 

  7. M. Bertini et al., Riv. Nuovo Cimento 19, 1 (1996).

    MathSciNet  Google Scholar 

  8. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Phys. Lett. B 60, 50 (1975); Sov. Phys. JETP 44, 433 (1976); 45, 199 (1977).

    Article  ADS  Google Scholar 

  9. Ya.Ya. Balitsky and L. N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978).

    Google Scholar 

  10. A. Donnachie and P. V. Landshoff, Z. Phys. C 61, 139 (1994); Phys. Lett. B 518, 63 (2001).

    Article  ADS  Google Scholar 

  11. A. M. Cooper-Sarkar and R. C.E. D Evenish, Acta. Phys. Pol. B 34, 2911 (2003).

    ADS  Google Scholar 

  12. W. Furmanski and R. Petronzio, Phys. Lett. B 97, 437 (1980); Z. Phys. C 11, 293 (1982).

    Article  ADS  Google Scholar 

  13. R. K. Ellis, Z. Kunszt, and E.M. Levin, Nucl. Phys. B 420, 517 (1994).

    Article  ADS  Google Scholar 

  14. R. K. Ellis, W. J. Stirling, and B. R. Webber, QCD and Collider Physics (Cambridge Univ. Press, Cambridge, 1996).

    Google Scholar 

  15. M. Glük, E. Reya and A. Vogt, Z. Phys. C 67, 433 (1995); Eur. Phys. J. C 5, 461 (1998).

    Article  ADS  Google Scholar 

  16. H1 Collab. (C. Adloff et al.), Eur. Phys. J. C 21, 33 (2001).

    Article  Google Scholar 

  17. A. D. Martin, R. G. Roberts, W. J. Stirling, and R. S. Thorne, Phys. Lett. B 531, 216 (2002).

    Article  ADS  Google Scholar 

  18. A. Donnachie and P. V. Landshoff, Phys. Lett. B 550, 160 (2002); R. D. Ball and P. V. Landshoff, hepph/ 9912445.

    Article  ADS  Google Scholar 

  19. P. Desgrolard, A. Lengyel, and E. Martynov, J. High Energy Phys. 0202, 029 (2002).

    Article  ADS  Google Scholar 

  20. P. V. Landshoff, hep-ph/0203084.

  21. A. V. Kotikov and G. Parente, Nucl. Phys. B 549, 242 (1999); hep-ph/0207276.

    Article  ADS  Google Scholar 

  22. P. Desgrolard, A. Lengyel, and E. Martynov, Eur. Phys. J. C 7, 655 (1999); P. Desgrolard and E. Martynov, Eur. Phys. J. C 22, 479 (2001); J. R. Cudell and G. Soyez, Phys. Lett. B 516, 77 (2001).

    Article  ADS  Google Scholar 

  23. A. Capella et al., Phys. Lett. B 337, 358 (1994); Phys. Rev. D 63, 054010 (2001).

    Article  ADS  Google Scholar 

  24. L. Csernai et al., hep-ph/0112265.

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Authors and Affiliations

  1. Physics Department, Razi University, Kermanshah, Iran

    G. R. Boroun & B. Rezaie

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  1. G. R. Boroun
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  2. B. Rezaie
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Correspondence to G. R. Boroun.

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Boroun, G.R., Rezaie, B. The approximation method for calculation of the exponents of the gluon distribution, λ g , and the structure function, λ S ,at low x . Phys. Atom. Nuclei 71, 1077–1087 (2008). https://doi.org/10.1134/S1063778808060100

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  • DOI: https://doi.org/10.1134/S1063778808060100

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