Advertisement

The European Physical Journal A

, Volume 31, Issue 3, pp 335–355 | Cite as

Generalized parton distributions for the nucleon in chiral perturbation theory

  • M. Diehl
  • A. Manashov Email author
  • A. Schäfer
Regular Article - Hadron Physics

Abstract.

We complete the analysis of twist-two generalized parton distributions of the nucleon in one-loop order of heavy-baryon chiral perturbation theory. Extending our previous study of the chiral-even isosinglet sector, we give results for chiral-even isotriplet distributions and for the chiral-odd sector. We also calculate the one-loop corrections for the chiral-odd generalized parton distributions of the pion.

PACS.

12.38.-t Quantum chromodynamics 12.38.Bx Perturbative calculations 12.39.Fe Chiral Lagrangians 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D. Müller, D. Robaschik, B. Geyer, F.M. Dittes, J. Hořejši, Fortschr. Phys. 42, 101 (1994) [hep-ph/9812448].Google Scholar
  2. 2.
    X.D. Ji, Phys. Rev. Lett. 78, 610 (1997) [hep-ph/9603249].CrossRefADSGoogle Scholar
  3. 3.
    A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997) [hep-ph/9704207].CrossRefADSGoogle Scholar
  4. 4.
    X.D. Ji, J. Phys. G 24, 1181 (1998) [hep-ph/9807358].CrossRefADSGoogle Scholar
  5. 5.
    K. Goeke, M.V. Polyakov, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001) [hep-ph/0106012].CrossRefADSGoogle Scholar
  6. 6.
    M. Diehl, Phys. Rep. 388, 41 (2003) [hep-ph/0307382].CrossRefADSGoogle Scholar
  7. 7.
    A.V. Belitsky, A.V. Radyushkin, Phys. Rep. 418, 1 (2005) [hep-ph/0504030].CrossRefADSGoogle Scholar
  8. 8.
    M. Diehl, Ph. Hägler, Eur. Phys. J. C 44, 87 (2005) [hep-ph/0504175]CrossRefADSGoogle Scholar
  9. 9.
    M. Burkardt, Phys. Rev. D 72, 094020 (2005) [hep-ph/0505189].CrossRefADSGoogle Scholar
  10. 10.
    K. Kumerički, D. Müller, K. Passek-Kumerički, A. Schäfer, hep-ph/0605237Google Scholar
  11. 11.
    QCDSF Collaboration (M. Göckeler), Phys. Rev. D 71, 034508 (2005) [hep-lat/0303019]CrossRefADSGoogle Scholar
  12. 12.
    M. Diehl, A. Manashov, A. Schäfer, Phys. Lett. B 622, 69 (2005) [hep-ph/0505269].CrossRefADSGoogle Scholar
  13. 13.
    M. Diehl, A. Manashov, A. Schäfer, Eur. Phys. J. A 29, 315 (2006) [hep-ph/0608113].CrossRefADSGoogle Scholar
  14. 14.
    S.I. Ando, J.W. Chen, C.W. Kao, Phys. Rev. D 74, 094013 (2006) [hep-ph/0602200 v4].CrossRefADSGoogle Scholar
  15. 15.
    LHPC Collaboration (R.G. Edwards), hep-lat/0610007.Google Scholar
  16. 16.
    QCDSF-UKQCD Collaboration (M. Göckeler), PoS (LAT2005) 055 (2006)Google Scholar
  17. 17.
    J. Gasser, M.E. Sainio, A. Švarc, Nucl. Phys. B 307, 779 (1988).CrossRefADSGoogle Scholar
  18. 18.
    V. Bernard, H.W. Fearing, T.R. Hemmert, U.-G. Meißner, Nucl. Phys. A 635, 121 (1998)CrossRefADSGoogle Scholar
  19. 19.
    V. Bernard, N. Kaiser, U.-G. Meißner, Int. J. Mod. Phys. E 4, 193 (1995) [hep-ph/9501384].CrossRefADSGoogle Scholar
  20. 20.
    S. Steininger, U.-G. Meißner, N. Fettes, JHEP 9809, 008 (1998) [hep-ph/9808280]CrossRefADSGoogle Scholar
  21. 21.
    N. Fettes, U.-G. Meißner, S. Steininger, Nucl. Phys. A 640, 199 (1998) [hep-ph/9803266].CrossRefADSGoogle Scholar
  22. 22.
    J. Gasser, H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984).CrossRefADSMathSciNetGoogle Scholar
  23. 23.
    G. Ecker, M. Mojžiš, Phys. Lett. B 365, 312 (1996) [hep-ph/9508204].CrossRefADSGoogle Scholar
  24. 24.
    V. Bernard, U.-G. Meißner, Phys. Lett. B 639, 278 (2006) [hep-lat/0605010].CrossRefADSGoogle Scholar
  25. 25.
    L. Mankiewicz, G. Piller, A. Radyushkin, Eur. Phys. J. C 10, 307 (1999) [hep-ph/9812467].CrossRefADSGoogle Scholar
  26. 26.
    M. Penttinen, M.V. Polyakov, K. Goeke, Phys. Rev. D 62, 014024 (2000) [hep-ph/9909489].CrossRefADSGoogle Scholar
  27. 27.
    V. Bernard, L. Elouadrhiri, U.-G. Meißner, J. Phys. G 28, R1 (2002) [hep-ph/0107088].Google Scholar
  28. 28.
    M. Diehl, Eur. Phys. J. C 19, 485 (2001) [hep-ph/0101335].ADSGoogle Scholar
  29. 29.
    Ph. Hägler, Phys. Lett. B 594, 164 (2004) [hep-ph/0404138].CrossRefADSGoogle Scholar
  30. 30.
    U.-G. Meißner, PoS (LAT2005) 009 (2006) [hep-lat/0509029].Google Scholar
  31. 31.
    N. Fettes, U.-G. Meißner, Nucl. Phys. A 676, 311 (2000) [hep-ph/0002162]CrossRefADSGoogle Scholar
  32. 32.
    J.W. Chen, X.D. Ji, Phys. Lett. B 523, 107 (2001) [hep-ph/0105197].CrossRefADSGoogle Scholar
  33. 33.
    D. Arndt, M.J. Savage, Nucl. Phys. A 697, 429 (2002) [nucl-th/0105045].zbMATHCrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  1. 1.Theory GroupDeutsches Elektronen-Synchroton DESYHamburgGermany
  2. 2.Institut für Theoretische PhysikUniversität RegensburgRegensburgGermany
  3. 3.Department of Theoretical PhysicsSankt-Petersburg State UniversityRussia

Personalised recommendations