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

Dai, Ling -Yun; Kang, Zhong -Bo; Prokudin, Alexei; Vitev, Ivan

doi:10.1103/PhysRevD.92.114024

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

Journal Article · Tue Dec 22 00:00:00 EST 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.114024· OSTI ID:1245205

Dai, Ling -Yun ^[1]; Kang, Zhong -Bo ^[2]; Prokudin, Alexei ^[1]; Vitev, Ivan ^[2]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, 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 O(α_em²α_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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177; AC52-06NA25396

OSTI ID:: 1245205

Alternate ID(s):: OSTI ID: 1418753
OSTI ID: 1234088

Report Number(s):: DOE/OR/23177--3175; JLAB-THY--14-1947; LA-UR--14-27352; arXiv:1409.5851

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 11 Vol. 92; ISSN PRVDAQ; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Double-Longitudinal Spin Asymmetry in Single-Inclusive Lepton Scattering at NLO Hinderer, Patriz; Schlegel, Marc; Vogelsang, Werner arXiv https://doi.org/10.48550/arxiv.1703.10872	text	January 2017
A short review on recent developments in TMD factorization and implementation Scimemi, Ignazio arXiv https://doi.org/10.48550/arxiv.1901.08398	preprint	January 2019
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