Limits on higher-twist contributions to deep-inelastic scattering

F. Eisele; M. Glück; E. Hoffmann; E. Reya

doi:10.1103/PhysRevD.26.41

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Limits on higher-twist contributions to deep-inelastic scattering

F. Eisele, M. Glück, E. Hoffmann, and E. Reya

Institut für Physik, Universität Dortmund 4600 Dortmund 50, Federal Republic of Germany

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Phys. Rev. D 26, 41 – Published 1 July, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.41

Abstract

It is shown that second moments of $F_{2}$ and $x F_{3}$ combined with energy-momentum conservation strongly restrict the magnitude of any single higher-twist contribution or of a combination of arbitrarily many higher-twist terms each contributing with equal signs. These effects turn out to be reasonably small for $0.1 ≲ α_{s} < 3$ , leaving all standard radiative QCD $\ln Q^{2}$ tests of scaling violations unchallenged, in particular those based on second moments of structure functions. Furthermore, a more general and realistic combination of two higher-twist terms (i.e., twist-4 and twist-6 with arbitrary signs) is studied via an $x$ - and $Q^{2}$ -dependent analysis of SLAC and CERN-Dortmund-Heidelberg-Saclay data. A combination of physically reasonable twist-4 and twist-6 terms alone cannot explain the observed scaling violations and best fits to the data are obtained by allowing at most 20% higher-twist corrections to the dominant perturbative QCD predictions. Such general higher-twist combinations allow $Λ$ also to increase as compared to pure QCD fits or as compared to keeping just a single higher-twist correction, with the result that $Λ$ can vary in the range $0.2 ≲ Λ ≲ 0.4$ GeV.

References (21)

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Omitted endnote
S. P. Luttrell, S. Wada, and B. R. Webber, Nucl. Phys. B188, 219 (1981)
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[3]
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[3] BEBC group ([15])
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Omitted endnote
([7])
[3]

[c1] J. Ellis, in Neutrino '79, proceedings of the International Conference on Neutrinos, Weak Interactions, and Cosmology, Bergen, Norway, 1979, edited by A. Haatuft and C. Jarlskog (University of Bergen, Bergen, 1980), Vol. 1, p. 451 in Proceedings of the 1979 International Symposium on Lepton and Photon Interactions at High Energies, Fermilab, edited by T. B. W. Kirk and H. D. I. Abarbanel (Fermilab, Batavia, Illinois, 1980), p. 412 A. De Rújula, J. Ellis, R. Petronzio, G. Preparata and W. Scott, in Pointlike Structure Inside and Outside Hadrons, proceedings of the Seventeenth International School of Subnuclear Physics, Erice, 1979, edited by A. Zichichi (Plenum, New York, 1982) C. H. Llewellyn Smith, in High Energy Physics—1980, proceedings of the XX International Conference edited by L. Durand and L. G. Pondrom (AIP, New York, 1981), p. 1345 D. H. Perkins, invited talk presented at the Royal Society Discussion Meeting on Gauge Theories of Fundamental Interactions, London, 1981, Oxford University, Nuclear Physics Laboratory Report No. Ref. 37/81 (unpublished)

[c2] L. F. Abbott and R. M. Barnett, Ann. Phys. (N.Y.) 125, 276 (1980) L. F. Abbott, W. B. Atwood, and R. M. Barnett, Phys. Rev. D 22, 582 (1980)

[c3] F. Eisele (CDHS collaboration), in Proceedings of the IV Warsaw Symposium on Elementary Particle Physics, Kazimierz, 1981, edited by Z. Ajduk and K. Doroba (Warsaw University Press, Warsaw, 1981), p. 81 in Neutrino 81, proceedings of the International Conference on Neutrino Physics and Astrophysics, Wailea, Hawaii, 1981, edited by R. J. Cence, E. Ma, and A. Roberts (University of Hawaii, Honolulu, 1981)

[c4] M. R. Pennington and G. G. Ross, Nucl. Phys. B179, 324 (1981) D. W. Duke and R. G. Roberts, Phys. Lett. 94B, 417 (1980) R. L. Jaffe and G. G. Ross, ibid. 93B, 313 (1980)

[c5] [3]

[c6] A. De Rújula, H. Georgi, and H. D. Politzer, Ann. Phys. (N.Y.) 103, 315 (1977) Phys. Rev. D 15, 2495 (1977)

[c7] A. J. Buras, in High Energy Physics—1980 ([1]), p. 785 Phys. Scripta 23, 863 (1981) M. Glück and E. Reya, Phys. Rev. D 25, 1211 (1982)

[c8] M. Glück and E. Reya, Nucl. Phys. B156, 456 (1979)

[c9] Omitted endnote

[c10] S. P. Luttrell, S. Wada, and B. R. Webber, Nucl. Phys. B188, 219 (1981)

[c11] G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977)

[c12] [3]

[c13] H. A. Abramowicz et al. (CDHS collaboration), Z. Phys. C 12, 289 (1982) (to be published)

[c14] [3] BEBC group ([15])

[c15] P. C. Bosetti et al., Nucl. Phys. B142, 1 (1978) D. H. Perkins (BEBC Collaboration), private communication

[c16] M. Glück and E. Reya, University of Dortmund Report No. DO-TH 80/7 (unpublished)

[c17] R. Blankenbecler and S. J. Brodsky, Phys. Rev. D 10, 2973 (1974) R. Blankenbecler, S. J. Brodsky, and J. F. Gunion, ibid. 12, 3469 (1975) I. A. Schmidt and R. Blankenbecler, ibid. 16, 1318 (1977)

[c18] A. Bodek et al., Phys. Rev. D 20, 1471 (1979)

[c19] Omitted endnote

[c20] ([7])

[c21] [3]

Physical Review D

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Limits on higher-twist contributions to deep-inelastic scattering

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