Power corrections to Bjorken and Gross-Llewellyn Smith sum rules in QCD

Twist-four corrections to the first moment of structure functions for deep inelastic νp scattering are examined. In contrast to previous estimations we found them to be not small — roughly equal to the perturbative correction at Q 2 ∼ 1 GeV 2 and of the same sign. Three independent calculations of t...

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Bibliographic Details
Published in:Nuclear physics. B 1987, Vol.283, p.723-748
Main Authors: Braun, V.M., Kolesnichenko, A.V.
Format: Article
Language:English
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Summary:Twist-four corrections to the first moment of structure functions for deep inelastic νp scattering are examined. In contrast to previous estimations we found them to be not small — roughly equal to the perturbative correction at Q 2 ∼ 1 GeV 2 and of the same sign. Three independent calculations of the dynamical 1 Q 2 correction are presented that are all consistent with each other to a ∼ 50% accuracy. They are within the QCD sum rules approach, the vector dominance approximation and the nonrelativistic quark model. A short discussion of 1 Q 4 effects is presented. Our conclusion is that they are of minor importance.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(87)90295-1