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Trouble with ξ scaling?

De Rújula, A. and Georgi, Howard and Politzer, H. David (1977) Trouble with ξ scaling? Physical Review D, 15 (9). pp. 2495-2502. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:RUJprd77

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Abstract

We review our analysis of inclusive lepton-hadron scattering, which is based on the use of the variable ξ that incorporates target- and constituent-mass effects in a color-gauge theory [quantum chromodynamics (QCD)]. We show that the apparent paradoxes recently encountered by several groups in connection with ξ scaling are not paradoxes at all, but rather are based on misunderstanding of our analysis. Paradoxes arise when the ξ-scaling analysis is applied for all ξ, but, as we stated in earlier work, QCD predicts that corrections (due to twist-greater-than-2 operators) are negligible only for W well above the proton mass. We restate our previous analysis in which we introduced a smooth function Fs that ξ-scales up to explicit logarithmic corrections. Fs has no thresholds (it is nonzero for 0<ξ<1). QCD predicts that Fs describes the data in the sense of Bloom-Gilman local duality. More constructively, we use the parton-model language to interpret the field-theoretic operator-product expansion in successive "twists" and develop an intuitive physical interpretation of twist. We reanalyze the "paradoxes" in parton language. We resolve (to our satisfaction) the question of nonperturbative effects in the analysis of electroproduction.


Item Type:Article
Additional Information:©1977 The American Physical Society Received 17 December 1976 We are indebted to S. Coleman, J. Ellis, S. Glasbow, R. Jaffe, and F. Wilczek for variously illuminating discussions.
Record Number:CaltechAUTHORS:RUJprd77
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:RUJprd77
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.15.2495
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5730
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:30 Oct 2006
Last Modified:26 Dec 2012 09:14

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