Summary
We show that simple parametrisations at smallx of the proton structure function work so well in limited regions of the (x,Q 2) plane because they are approximately “self-consistent” solutions of the QCD evolution equation. For a class of them, we predict theirQ 2 dependence and compare the result with experimental data.
Similar content being viewed by others
References
De Rujula A. et al., Phys Rev. D,10 (1974) 1649;Dokshitzer Yu. L.,Sov. Phys JETP,46 (1977) 641.
H1 Collaboration (Aid S. t al., Nucl. Phys. B,47 (1996) 3.
ZEUS Collaboration (Derrick M. et al.),Z. Phys. C,72 (1996) 399.
Gribov V. N. andLipatov L. N.,Sov. J. Nucl. Phys.,15 (1972) 438, 675.
Altarelli G. andParisi G.,Nucl. Phys. B,126 (1977) 298.
Ball R. D. andForte S.,Phys. Lett. B,335 (1994) 77;Phys. Lett. B,336 (1994) 77.
De Roeck A. andDe Wolf E. A.,Phys. Lett. B,388 (1996) 188.
Bertini M. et al., preprint LYCEN 9366, 1993.
Jenkovszky L. L., Kotikov A. V. andPaccanoni F.,Phys. Lett. B,314 (1993) 421;Paccanoni F.,Proceedings of the Workshop Hadrons-94, Uzhgorod, edited byBugrij G. et al.,;Martynov E. S.,Proceedings of the Workshop Hadrons-94, Uzhgorod, edited byBugrij G. et al.,
Buchmüller W. andHaidt D., hep-ph/9605428.
Forte S. andBall R. D., hep-ph/9610268.
Tricomi F. G.,Equazioni a derivate parziali (Ed. Cremonese, Roma) 1957.
Gribov L. V., Levin E. M. andRyskin M. G.,Phys. Rep.,100 (1983) 1.
Prytz K.,Phys. Lett. B,311 (1993) 286;332 (1994) 393.
Ellis R. K., Kunszt Z. andLevin E. M.,Nucl. Phys. B,420 (1994) 517.
ZEUS Collaboration (Derrick M. et al.,),Phys. Lett. B,345 (1995) 576.
Ryskin M. G.,Z. Phys. C,57 (1993) 89.
Nikolaev N. N. andZakharov B. G.,Phys. Lett. B,332 (1994) 177.
Albini E. et al., Nuovo Cimento A,32 (1976) 101.
Thome W. et al., Nucl. Phys. B,129 (1977) 365.
Kobylinsky N. A., Martynov E. S. andShelest V. P.,Z. Phys. C,28 (1985) 143.
PDG (Hikasa K. et al.),Phys. Rev. D,45 (1992) No. 11.
OPAL Collaboration (Acton P. D. et al.),Z. Phys. C,53 (1992) 539.
Furmanski W., Petronzio R. andPokorski S.,Nucl. Phys. B,155 (1979) 253;Bassetto A. et al.,Nucl. Phys. B,207 (1982) 189.
Khoze V. A. andOchs W.,Int. J. Mod. Phys. A,12 (1997) 2949 and references quoted there.
McCoy B. M. andWu T. T.,Phys. Rev. D,12 (1975) 3257.
Abramowitz M. andStegun I. A. (Editors),Handbook of Mathematical Functions (Dover, New York) 1965.
Author information
Authors and Affiliations
Corresponding authors
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Jenkovszky, L.L., Lengyel, A. & Paccanoni, F. Parametrising the proton structure function. Il Nuovo Cimento A (1971-1996) 111, 551–559 (1998). https://doi.org/10.1007/BF03185588
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03185588