Abstract
We perform a global fit of the available polarized Semi-Inclusive Deep Inelastic Scattering (SIDIS), polarized pion-induced Drell-Yan (DY) and W±/Z boson production data at N3LO and NNLO accuracy of the Transverse Momentum Dependent (TMD) evolution, and extract the Sivers function for u, d, s and for sea quarks. The Qiu-Sterman function is determined in a model independent way via the operator product expansion from the extracted Sivers function. The analysis is supplemented by additional studies, such as the estimation of applicability region, the impact of the unpolarized distributions’ uncertainties, the universality of the Sivers functions, positivity constraints, the significance of the sign-change relation, and the comparison with the existing extractions.
Highlights
Data with next-to-next-to-leading order (NNLO) and next-to-next-to-next-to-leading order (N3LO) of Transverse Momentum Dependent (TMD) evolution and provide a detailed description of results presented in ref. [10]
Ref. [10], we demonstrate the universality of the Sivers function and describe simultaneously Semi-Inclusive Deep Inelastic Scattering (SIDIS), Drell-Yan, and W ±/Z boson production data using TMD evolution and the universal nonperturbative CS kernel extracted from the unpolarized measurements
We describe in detail results of N3LO extraction of the Sivers function, presented in ref
Summary
We start by summarizing theoretical formalism and presenting expressions that describe DY process and SIDIS cross-sections within TMD factorization. Find details about TMD factorization and derivations of cross-sections for these processes in refs. [4, 13, 15, 23, 68, 71]
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