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

Title: 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:1418753

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)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

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

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

OSTI ID:: 1418753

Alternate ID(s):: OSTI ID: 1234088; OSTI ID: 1245205

Report Number(s):: LA-UR-14-27352; JLAB-THY-14-1947; DOE/OR/23177-3175; arXiv:1409.5851; PRVDAQ; TRN: US1801293

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 22 works

Citation information provided by
Web of Science

References (54)

QCD evolution of the Sivers asymmetry Echevarria, Miguel G.; Idilbi, Ahmad; Kang, Zhong-Bo Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074013	journal	April 2014
Hadron transverse momentum distributions in muon deep inelastic scattering at 160 GeV/c Adolph, C.; Alekseev, M. G.; Alexakhin, V. Yu. The European Physical Journal C, Vol. 73, Issue 8 https://doi.org/10.1140/epjc/s10052-013-2531-6	journal	August 2013
Note on the scale evolution of the Efremov-Teryaev-Qiu-Sterman function $T_{F} (x, x)$ Schäfer, Andreas; Zhou, Jian Physical Review D, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevD.85.117501	journal	June 2012
Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering Collins, John C. Physics Letters B, Vol. 536, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)01819-1	journal	May 2002
Contribution of twist-3 multigluon correlation functions to single spin asymmetry in semi-inclusive deep inelastic scattering Beppu, Hiroo; Koike, Yuji; Tanaka, Kazuhiro Physical Review D, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevD.82.054005	journal	September 2010
QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng Physical Review D, Vol. 71, Issue 3 https://doi.org/10.1103/PhysRevD.71.034005	journal	February 2005
Semi-inclusive deeply inelastic scattering at electron-proton colliders Meng, Ruibin; Olness, Fredrick I.; Soper, Davison E. Nuclear Physics B, Vol. 371, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90230-9	journal	March 1992
Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL Echevarría, Miguel G.; Idilbi, Ahmad; Schäfer, Andreas The European Physical Journal C, Vol. 73, Issue 12 https://doi.org/10.1140/epjc/s10052-013-2636-y	journal	November 2013
QCD evolution of the transverse momentum dependent correlations Zhou, Jian; Yuan, Feng; Liang, Zuo-Tang Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.114022	journal	June 2009
Single transverse-spin asymmetry for $D$ -meson production in semi-inclusive deep inelastic scattering Kang, Zhong-Bo; Qiu, Jian-Wei Physical Review D, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevD.78.034005	journal	August 2008
QCD evolution of the Sivers function Aybat, S. M.; Collins, J. C.; Qiu, J. W. Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034043	journal	February 2012
QCD evolution of naive-time-reversal-odd parton distribution functions Kang, Zhong-Bo; Qiu, Jian-Wei Physics Letters B, Vol. 713, Issue 3 https://doi.org/10.1016/j.physletb.2012.06.021	journal	July 2012
On the relation between mechanisms for single-transverse-spin asymmetries Koike, Yuji; Vogelsang, Werner; Yuan, Feng Physics Letters B, Vol. 659, Issue 5 https://doi.org/10.1016/j.physletb.2007.11.096	journal	February 2008
Single transverse-spin asymmetry in semi-inclusive deep inelastic scattering Ji, Xiangdong; Qiu, Jian-Wei; Vogelsang, Werner Physics Letters B, Vol. 638, Issue 2-3 https://doi.org/10.1016/j.physletb.2006.05.044	journal	July 2006
Single Spin Asymmetries in Charged Pion Production from Semi-Inclusive Deep Inelastic Scattering on a Transversely Polarized ${}^{3}{He}$ Target at $Q^{2} = 1.4 - 2.7 {GeV}^{2}$ Qian, X.; Allada, K.; Dutta, C. Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072003	journal	August 2011
Unified Picture for Single Transverse-Spin Asymmetries in Hard-Scattering Processes Ji, Xiangdong; Qiu, Jian-Wei; Vogelsang, Werner Physical Review Letters, Vol. 97, Issue 8 https://doi.org/10.1103/PhysRevLett.97.082002	journal	August 2006
Semi-inclusive deep inelastic scattering at small transverse momentum Bacchetta, Alessandro; Diehl, Markus; Goeke, Klaus Journal of High Energy Physics, Vol. 2007, Issue 02 https://doi.org/10.1088/1126-6708/2007/02/093	journal	February 2007
Single-spin production asymmetries from the hard scattering of pointlike constituents Sivers, Dennis Physical Review D, Vol. 41, Issue 1 https://doi.org/10.1103/PhysRevD.41.83	journal	January 1990
Collins and Sivers asymmetries in muonproduction of pions and kaons off transversely polarised protons Adolph, C.; Akhunzyanov, R.; Alexeev, M. G. Physics Letters B, Vol. 744 https://doi.org/10.1016/j.physletb.2015.03.056	journal	May 2015
Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering Brodsky, Stanley J.; Hwang, Dae Sung; Schmidt, Ivan Physics Letters B, Vol. 530, Issue 1-4 https://doi.org/10.1016/S0370-2693(02)01320-5	journal	March 2002
One-particle inclusive processes in deeply inelastic lepton-nucleon scattering Graudenz, Dirk Nuclear Physics B, Vol. 432, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90606-8	journal	December 1994
Single transverse spin asymmetries Qiu, Jianwei; Sterman, George Physical Review Letters, Vol. 67, Issue 17 https://doi.org/10.1103/PhysRevLett.67.2264	journal	October 1991
Transverse momentum dependent evolution: Matching semi-inclusive deep inelastic scattering processes to Drell-Yan and $W / Z$ boson production Sun, Peng; Yuan, Feng Physical Review D, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevD.88.114012	journal	December 2013
Observation of the Naive- $T$ -Odd Sivers Effect in Deep-Inelastic Scattering Airapetian, A.; Akopov, N.; Akopov, Z. Physical Review Letters, Vol. 103, Issue 15 https://doi.org/10.1103/PhysRevLett.103.152002	journal	October 2009
Single transverse-spin asymmetry in Drell-Yan production at large and moderate transverse momentum Ji, Xiangdong; Qiu, Jian-Wei; Vogelsang, Werner Physical Review D, Vol. 73, Issue 9 https://doi.org/10.1103/PhysRevD.73.094017	journal	May 2006
Soft and collinear factorization and transverse momentum dependent parton distribution functions Echevarría, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio Physics Letters B, Vol. 726, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.09.003	journal	November 2013
Scale dependence of twist-three contributions to single spin asymmetries Braun, V. M.; Manashov, A. N.; Pirnay, B. Physical Review D, Vol. 80, Issue 11 https://doi.org/10.1103/PhysRevD.80.114002	journal	December 2009
Single transverse spin asymmetry for large- pion production in semi-inclusive deep inelastic scattering Eguchi, Hisato; Koike, Yuji; Tanaka, Kazuhiro Nuclear Physics B, Vol. 752, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.05.036	journal	September 2006
QCD Resummation for Single Spin Asymmetries Kang, Zhong-Bo; Xiao, Bo-Wen; Yuan, Feng Physical Review Letters, Vol. 107, Issue 15 https://doi.org/10.1103/PhysRevLett.107.152002	journal	October 2011
Next-to-leading order calculation of the single transverse spin asymmetry in the Drell-Yan process Vogelsang, Werner; Yuan, Feng Physical Review D, Vol. 79, Issue 9 https://doi.org/10.1103/PhysRevD.79.094010	journal	May 2009
Foundations of Perturbative QCD Collins, John Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology https://doi.org/10.1017/CBO9780511975592	book	May 2011
Gluon correlations in the transversely polarized nucleon Ji, Xiangdong Physics Letters B, Vol. 289, Issue 1-2 https://doi.org/10.1016/0370-2693(92)91375-J	journal	September 1992
Next-to-Leading Order QCD Factorization for Semi-Inclusive Deep Inelastic Scattering at Twist 4 Kang, Zhong-Bo; Wang, Enke; Wang, Xin-Nian Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.102001	journal	March 2014
Testing the Time-Reversal Modified Universality of the Sivers Function Kang, Zhong-Bo; Qiu, Jian-Wei Physical Review Letters, Vol. 103, Issue 17 https://doi.org/10.1103/PhysRevLett.103.172001	journal	October 2009
Time-reversal odd distribution functions in leptoproduction Boer, D.; Mulders, P. J. Physical Review D, Vol. 57, Issue 9 https://doi.org/10.1103/PhysRevD.57.5780	journal	May 1998
QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng Physics Letters B, Vol. 597, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.07.026	journal	September 2004
Test of the Universality of Naive-Time-Reversal-Odd Fragmentation Functions Boer, Daniël; Kang, Zhong-Bo; Vogelsang, Werner Physical Review Letters, Vol. 105, Issue 20 https://doi.org/10.1103/PhysRevLett.105.202001	journal	November 2010
Universality of T-odd effects in single spin and azimuthal asymmetries Boer, D.; Mulders, P. J.; Pijlman, F. Nuclear Physics B, Vol. 667, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00527-3	journal	September 2003
Collins and Sivers asymmetries for pions and kaons in muon–deuteron DIS Alekseev, M.; Alexakhin, V. Yu.; Alexandrov, Yu. Physics Letters B, Vol. 673, Issue 2 https://doi.org/10.1016/j.physletb.2009.01.060	journal	March 2009
QCD evolution of naive-time-reversal-odd fragmentation functions Kang, Zhong-Bo Physical Review D, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevD.83.036006	journal	February 2011
Collins Function and the Single Transverse Spin Asymmetry Yuan, Feng; Zhou, Jian Physical Review Letters, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevLett.103.052001	journal	July 2009
Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order Kang, Zhong-Bo; Vitev, Ivan; Xing, Hongxi Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034024	journal	February 2013
Twist-3 formalism for single transverse spin asymmetry reexamined: Semi-inclusive deep inelastic scattering Eguchi, Hisato; Koike, Yuji; Tanaka, Kazuhiro Nuclear Physics B, Vol. 763, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.11.016	journal	February 2007
Global fitting of single spin asymmetry: An attempt Kang, Zhong-Bo; Prokudin, Alexei Physical Review D, Vol. 85, Issue 7 https://doi.org/10.1103/PhysRevD.85.074008	journal	April 2012
Double spin asymmetries for large-pT hadron production in semi-inclusive DIS Koike, Yuji; Nagashima, J. Nuclear Physics B, Vol. 660, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00259-1	journal	June 2003
Evolution of twist-3 multiparton correlation functions relevant to single transverse-spin asymmetry Kang, Zhong-Bo; Qiu, Jian-Wei Physical Review D, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevD.79.016003	journal	January 2009
Observation concerning the process dependence of the Sivers functions Kang, Zhong-Bo; Qiu, Jian-Wei; Vogelsang, Werner Physical Review D, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevD.83.094001	journal	May 2011
$O (α_{s}^{2})$ QCD corrections to the electroproduction of hadrons with high transverse momentum Daleo, A.; de Florian, D.; Sassot, R. Physical Review D, Vol. 71, Issue 3 https://doi.org/10.1103/PhysRevD.71.034013	journal	February 2005
QCD asymmetry and polarized hadron structure function measurement Efremov, A. V.; Teryaev, O. V. Physics Letters B, Vol. 150, Issue 5 https://doi.org/10.1016/0370-2693(85)90999-2	journal	January 1985
Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum Bacchetta, Alessandro; Boer, Daniël; Diehl, Markus Journal of High Energy Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1126-6708/2008/08/023	journal	August 2008
Erratum to: “Double spin asymmetries for large- $p_{T}$ hadron production in semi-inclusive DIS” [Nucl. Phys. B 660 (2003) 269] Koike, Yuji; Nagashima, J. Nuclear Physics B, Vol. 742, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2006.02.037	journal	May 2006
Scale dependence of twist-3 quark–gluon operators for single spin asymmetries Ma, J. P.; Wang, Q. Physics Letters B, Vol. 715, Issue 1-3 https://doi.org/10.1016/j.physletb.2012.07.036	journal	August 2012
Evolution of the helicity and transversity. Transverse-momentum-dependent parton distributions Bacchetta, Alessandro; Prokudin, Alexei Nuclear Physics B, Vol. 875, Issue 3 https://doi.org/10.1016/j.nuclphysb.2013.07.013	journal	October 2013
Accessing trigluon correlations in the nucleon via the single spin asymmetry in open charm production Kang, Zhong-Bo; Qiu, Jian-Wei; Vogelsang, Werner Physical Review D, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevD.78.114013	journal	December 2008

Cited By (7)

Double-longitudinal spin asymmetry in single-inclusive lepton scattering at NLO Hinderer, Patriz; Schlegel, Marc; Vogelsang, Werner Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/physrevd.96.014002	journal	July 2017
Transverse spin observables in hard-scattering hadronic processes within collinear factorization Pitonyak, Daniel International Journal of Modern Physics A, Vol. 31, Issue 32 https://doi.org/10.1142/s0217751x16300490	journal	November 2016
A Short Review on Recent Developments in TMD Factorization and Implementation Scimemi, Ignazio Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/3142510	journal	May 2019
Introduction to the Transverse-Momentum-Weighted Technique in the Twist-3 Collinear Factorization Approach Xing, Hongxi; Yoshida, Shinsuke Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/4825790	journal	June 2019
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
Introduction to the transverse-momentum-weighted technique in the twist-3 collinear factorization approach Xing, Hongxi; Yoshida, Shinsuke arXiv https://doi.org/10.48550/arxiv.1904.00416	preprint	January 2019

Similar Records

Next-to-leading order weighted Sivers asymmetry in semi-inclusive deep inelastic scattering: three-gluon correlator

Conference · Tue Sep 01 00:00:00 EDT 2015 · Proceedings of Science · OSTI ID:1418753

Dai, Lingyun; Prokudin, Alexei; Kang, Zhong-Bo; +1 more

Intrinsic transverse momentum and evolution in weighted spin asymmetries

Journal Article · Thu Jun 25 00:00:00 EDT 2020 · Physical Review. D. · OSTI ID:1418753

Qiu, Jian-Wei; Rogers, Ted C.; Wang, Bowen

Quark sivers function at small x: spin-dependent odderon and the sub-eikonal evolution

Journal Article · Fri Nov 26 00:00:00 EST 2021 · Journal of High Energy Physics (Online) · OSTI ID:1418753

Kovchegov, Yuri V.; Santiago, M. Gabriel

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Atomic and Nuclear Physics

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

Citation Formats

References (54)

Cited By (7)

Similar Records

Related Subjects