Gauge invariance, causality and gluonic poles
I.V. Anikin, O.V. Teryaev

TL;DR
This paper investigates how gauge invariance and causality influence the structure of the hadron tensor in the Drell-Yan process, revealing additional contributions that enhance single spin asymmetries.
Contribution
It introduces a contour gauge approach to gluon fields and links gluonic pole prescriptions to causality, providing new insights into single spin asymmetry calculations.
Findings
Gluonic pole prescriptions are related to causality properties.
Extra contributions to the hadron tensor increase the asymmetry by a factor of two.
Contour gauge plays a crucial role in gauge invariance analysis.
Abstract
We explore the electromagnetic gauge invariance of the hadron tensor of the Drell-Yan process with one transversely polarized hadron. The special role is played by the contour gauge for gluon fields. The prescription for the gluonic pole in the twist 3 correlator is related to causality property and compared with the prescriptions for exclusive hard processes. As a result of we get the extra contributions, which naively do not have an imaginary phase. The single spin asymmetry for the Drell-Yan process is enhanced by the factor of two.
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