QCD and power corrections to sum rules in deep-inelastic lepton-nucleon scattering

Ravindran, V. ; van Neerven, W. L. (2001) QCD and power corrections to sum rules in deep-inelastic lepton-nucleon scattering Nuclear Physics B, 605 (1-3). pp. 517-557. ISSN 0550-3213

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0550-3213(01)00190-0

Abstract

In this paper we study QCD and power corrections to sum rules which show up in deep-inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and those which are of a phenomenological origin. Using current algebra techniques the fundamental sum rules can be expressed into expectation values of (partially) conserved (axial-)vector currents sandwiched between hadronic states. These expectation values yield the quantum numbers of the corresponding hadron which are determined by the underlying flavour group SU(n)F. In this case one can show that there exist an intimate relation between the appearance of power and QCD corrections. The above features do not hold for phenomenological sum rules, hereafter called non-fundamental. They have no foundation in quantum field theory and they mostly depend on certain assumptions made for the structure functions like super-convergence relations or the parton model. Therefore only the fundamental sum rules provide us with a stringent test of QCD.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Sum Rules; Perturbative Calculations; Deep-inelastic Processes
ID Code:85440
Deposited On:02 Mar 2012 11:49
Last Modified:02 Mar 2012 11:49

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