Next-to-leading order transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering: the role of the three-gluon correlator

Abstract

We study the Sivers asymmetry in semi-inclusive hadron production in deep inelastic scattering. We concentrate on the contribution from the photon-gluon fusion channel at $\mathcal{O}({\alpha }_{em}^2{\alpha }_s)$, where three-gluon correlation functions play a major role within the twist-3 collinear factorization formalism. We establish the correspondence between such a formalism with three gluon correlation functions and the usual transverse momentum dependent (TMD) factorization formalism at moderate hadron transverse momenta. We derive the coefficient functions used in the usual TMD evolution formalism related to the quark Sivers function expansion in terms of the three-gluon correlation functions. We further perform the next-to-leading order calculation for the transverse-momentum-weighted spin-dependent differential cross section, and identify the off-diagonal contribution from the three-gluon correlation functions to the QCD collinear evolution of the twist-3 Qiu-Sterman function.

12 pages, 3 figures, extended for details

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Cited by in corpus (24)

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• Hunting BFKL in semi-hard reactions at the LHC
• Collinear matching for Sivers function at next-to-leading order
• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• N${}^3$LO extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ data
• Polarized hyperon production in single-inclusive electron-positron annihilation at next-to-leading order
• Sea quark Sivers distribution
• The Sivers Asymmetry in Hadronic Dijet Production
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• Transverse momentum moments
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• QCD evolution of the gluon Sivers function in heavy flavor dijet production at the Electron-Ion Collider
• Double-Longitudinal Spin Asymmetry in Single-Inclusive Lepton Scattering at NLO
• The Drell-Yan process with pions and polarized nucleons
• Intrinsic Transverse Momentum and Evolution in Weighted Spin Asymmetries
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• Transverse Nucleon Single-Spin Asymmetry for Single-Inclusive Hadron and Jet Production at NLO Accuracy
• NLO corrections and factorization for transverse single-spin asymmetries
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Fragmentation contributions to transverse nucleon spin observables in semi-inclusive deep-inelastic scattering at NLO