Quark-hadron duality and truncated moments of nucleon structure functions
A. Psaker, W. Melnitchouk, M. E. Christy, C. Keppel
TL;DR
This paper introduces a novel method using truncated moments to analyze local quark-hadron duality in nucleon structure functions, enabling a QCD-based description of resonance region data and the dominance of leading twist.
Contribution
The study presents a new approach employing truncated moments to connect resonance region data with QCD, allowing direct analysis of quark-hadron duality from first principles.
Findings
Truncated moments obey the same Q^2 evolution as leading twist distributions.
The approach enables a QCD-based description of resonance region data.
It provides insights into the dominance of leading twist in resonance regions.
Abstract
We employ a novel new approach to study local quark-hadron duality using "truncated" moments, or integrals of structure functions over restricted regions of x, to determine the degree to which individual resonance regions are dominated by leading twist. Because truncated moments obey the same Q^2 evolution equations as the leading twist parton distributions, this approach makes possible for the first time a description of resonance region data and the phenomenon of quark-hadron duality directly from QCD.
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