Skip to main content
SpringerLink
Log in

QCD analysis of structure functions in terms of Jacobi polynomials

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

A new method of QCD-analysis of singlet and nonsinglet structure functions based on their expansion in orthogonal Jacobi polynomials is proposed. An accuracy of the method is studied and its application is demonstrated using the structure functionF 2(x, Q 2) obtained by the EMC Collaboration from measurements with an iron target.

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. H.D. Politzer: Phys. Rev. Lett. 30 (1973) 1346

    Google Scholar 

  2. D.J. Gross, F. Wilczek: Phys. Rev. Lett. 30 (1973) 1343; Phys. Rev. D 8 (1973) 3633; ibid. Phys. Rev. D 9 (1974) 980

    Google Scholar 

  3. E.G. Floratos, D.A. Ross, C.T. Sachrajda: Nucl. Phys. B 129 (1977) 66; ibid. E.G. Floratos, D.A. Ross, C.T. Sachrajda: Nucl. Phys. B 139 (1977) 545 (Erratum); ibid. E.G. Floratos, D.A. Ross, C.T. Sachrajda: Nucl. Phys. B 152 (1979) 493; Phys. Lett. B 80 (1979) 269 (Erratum); W.A. Bardeen, A.J. Buras, D.W. Duke, T. Muta: Phys. Rev. D 18 (1979) 3398

    Google Scholar 

  4. W. Furmanski, R. Petronzio: Phys. Lett. 97 B (1980) 437; G. Curci, W. Furmanski, R. Petronzio: Nucl. Phys. B 175 (1980) 27; E.G. Floratos, R. Lacaze, C. Kounnas: Phys. Lett. 98 B (1981) 89

    Google Scholar 

  5. V.N. Gribov, L.N. Lipatov: Sov. J. Nucl. Phys. 15 (1972) 438; ibid. V.N. Gribov, L.N. Lipatov: Sov. J. Nucl. Phys. 15 (1972) 675

    Google Scholar 

  6. L.N. Lipatov: Sov. J. Nucl. Phys. 20 (1975) 181; J. Kogut, L. Susskind: Phys. Rev. D 9 (1974) 697; ibid. J. Kogut, L. Susskind: Phys. Rev. D 9 (1974) 706

    Google Scholar 

  7. G. Altarelli, G. Parisi: Nucl. Phys. B 126 (1977) 298

    Google Scholar 

  8. Yu.L. Dokshitzer: Phys. Rep. C 58 (1980) 269

    Google Scholar 

  9. Yu.L. Dokshitzer, D.I. Dyakonov, S.I. Troyan: Phys. Lett. B 79 (1978) 269

    Google Scholar 

  10. A. Devoto, D.W. Duke, J.F. Owens, R.G. Roberts: Phys. Rev. D 27 (1983) 508

    Google Scholar 

  11. F.J. Yndurain: Phys. Lett. 74 B (1978) 68

    Google Scholar 

  12. A. Gonzalez-Arroyo, C. Lopez, F.J. Yndurain: Nucl. Phys. B 153 (1979) 161; ibid. A. Gonzalez-Arroyo, C. Lopez, F.J. Yndurain: Nucl. Phys. B 159 (1979) 512; ibid. A. Gonzalez-Arroyo, C. Lopez, F.J. Yndurain: Nucl. Phys. B 174 (1980) 474

    Google Scholar 

  13. A. Gonzalez-Arroyo, C. Lopez: Nucl. Phys. B 166 (1980) 429

    Google Scholar 

  14. J.J. Aubert et al.: Phys. Lett. B 114 (1982) 291

    Google Scholar 

  15. W. Furmanski, R. Petronzio: Nucl. Phys. B 195 (1982) 237

    Google Scholar 

  16. F. Bergsma et al.: Phys. Lett. 123 B (1983) 269

    Google Scholar 

  17. G. Parisi, N. Sourlas: Nucl. Phys. B 151 (1979) 421

    Google Scholar 

  18. I.S. Barker, C.B. Langensiepen, G. Shaw: Nucl. Phys. B 186 (1981) 61

    Google Scholar 

  19. I.S. Barker, B.R. Martin: Z. Phys. C-Particles and Fields 19 (1983) 147

    Google Scholar 

  20. I.S. Barker, B.R. Martin: Z. Phys. C-Particles and Fields 24 (1984) 255

    Google Scholar 

  21. R. Petronzio: CERN TH-3085 (1981)

  22. M.R. Pennington: Rep. Progr. Phys. 46 (1983) 393

    Google Scholar 

  23. J. Chyla, J. Rames: Z. Phys. C-Particles and Fields 30 (1986) 547; Czech. J. Phys. B 36 (1986) 534

    Google Scholar 

  24. A.J. Buras: Rev. Mod. Phys. 52 (1980) 199

    Google Scholar 

  25. P. Aurenche et al.: Nucl. Phys. B 177 (1981) 189

    Google Scholar 

  26. N.G. Fadeev, I.A. Savin, V.V. Sanadze, N.B. Skachkov: Phys. Lett. B 117 (1982) 349

    Google Scholar 

  27. J.J. Aubert et al.: Phys. Lett. 105 B (1982) 322

    Google Scholar 

  28. V.G. Krivokhizhin et al.: Preprint JINR, E2-86-564, Dubna, 1986

  29. A.J. Buras, K.J.F. Gaemers: Nucl. Phys. B 132 (1978) 249

    Google Scholar 

  30. G. Szego: Orthogonal polynomials Amer. Math. Colloquium Publ. 23, New York (1959); R. Courant, D. Hilbert: Methods of mathematical physics. New York: Interscience 1953

  31. M. Abramowitz, I. Stegun: Handbook of mathematical functions. New York: Dover 1954

    Google Scholar 

  32. H. Abramowicz et al.: Z. Phys. C-Particles and Fields 12 (1982) 289

    Google Scholar 

  33. J.J. Aubert et al.: Nucl. Phys. B 272 (1986) 159

    Google Scholar 

  34. L.F. Abbott et al.: Phys. Rev. D 22 (1980) 582

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, SU-141 980, Dubna, USSR

    V. G. Krivokhizhin, S. P. Kurlovich, I. A. Savin, A. V. Sidorov & N. B. Skachkov

  2. Tbilisi State University, SU-380 086, Tbilisi, USSR

    V. V. Sanadze

Authors
  1. V. G. Krivokhizhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. P. Kurlovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Sanadze
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. A. Savin
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. V. Sidorov
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. N. B. Skachkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krivokhizhin, V.G., Kurlovich, S.P., Sanadze, V.V. et al. QCD analysis of structure functions in terms of Jacobi polynomials. Z. Phys. C - Particles and Fields 36, 51–59 (1987). https://doi.org/10.1007/BF01556164

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01556164

Keywords

Search

Navigation