Scale dependence of twist-three contributions to single spin asymmetries
V.M. Braun, A.N. Manashov, B. Pirnay
TL;DR
This paper investigates how twist-three correlation functions, which influence single transverse spin asymmetries, evolve with energy scale, revealing discrepancies with recent studies and clarifying their theoretical behavior.
Contribution
The paper derives new evolution equations for twist-three distributions, addressing inconsistencies with recent calculations and enhancing understanding of their scale dependence.
Findings
Derived evolution equations for twist-three functions.
Identified discrepancies with recent vanishing gluon momentum results.
Discussed potential sources of the differences.
Abstract
We reexamine the scale dependence of twist-three correlation functions relevant for the single transverse spin asymmetry in the framework of collinear factorization. Evolution equations are derived for both the flavor-nonsinglet and flavor--singlet distributions and arbitrary parton momenta. Our results do not agree with the recent calculations of the evolution in the limit of vanishing gluon momentum. Possible sources for this discrepancy are identified.
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