End-point behavior of the pion distribution amplitude
S. V. Mikhailov, A. V. Pimikov, N. G. Stefanis
TL;DR
This paper investigates the end-point behavior of the pion distribution amplitude using QCD sum rules, finding a slope consistent with the asymptotic form and challenging flat-type models.
Contribution
It introduces a method to calculate the pion DA slope using both standard and integral derivatives within QCD sum rules, providing new insights into its end-point behavior.
Findings
Slope of the pion DA is around or less than the asymptotic value.
Results oppose flat-type pion DAs.
Supports the asymptotic form of the pion DA.
Abstract
We discuss the end-point behavior of the pion distribution amplitude (DA) and calculate its slope using QCD sum rules with nonlocal condensates. This is done in terms of the standard derivative and also with the help of an "integral derivative", recently obtained by us. Our approach favors a value of the slope of the order (or less) of the asymptotic DA and is in clear disagreement with flat-type pion DAs.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · High-Energy Particle Collisions Research