Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry

Abstract

We constructed two sets of twist-3 correlation functions that are responsible for generating the novel single transverse-spin asymmetry in the QCD collinear factorization approach. We derive evolution equations for these universal three-parton correlation functions. We calculate evolution kernels relevant to the gluonic pole contributions to the asymmetry at the order of ${\alpha }_s$. We find that all evolution kernels are infrared safe as they should be and have a lot in common to the DGLAP evolution kernels of unpolarized parton distributions. By solving the evolution equations, we explicitly demonstrate the factorization scale dependence of these twist-3 correlation functions.

28 pages, 17 figures, new materials and references added

References in corpus (15)

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• Asymmetric Di-jet Production in Polarized Hadronic Collisions
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Cited by in corpus (3)

• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• QCD Evolution of the Transverse Momentum Dependent Correlations
• Test the time-reversal modified universality of the Sivers function