Abstract
We evaluate the light-cone operator product expansion for unpolarized transverse momentum dependent (TMD) operator in the background-field technique up twist-3 inclusively. The next-to-leading order (NLO) matching coefficient for the Sivers function is derived. The method, as well as many details of the calculation are presented.
Highlights
The exploration of the internal structure of nuclei is a fascinating task, which identifies transverse momentum dependent (TMD) distributions as one of its most powerful tools
We evaluate the light-cone operator product expansion for unpolarized transverse momentum dependent (TMD) operator in the background-field technique up twist-3 inclusively
Within the TMD factorization approach, the information on hadron structure is encoded in TMD parton distribution functions (TMDPDFs) and TMD fragmentation functions (TMDFFs)
Summary
The exploration of the internal structure of nuclei is a fascinating task, which identifies transverse momentum dependent (TMD) distributions as one of its most powerful tools. We articulate the role of the gauge links and their direction and show (at the level of operators) the famous sing-change in-between DY and SIDIS definitions of the Sivers function [50] Motivated by these considerations, we provide a detailed and pedagogical explanation of the calculation method, which is a major target of this article. The discussion and comparison with earlier calculations is given in 7.3
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