Sivers function in the quasiclassical approximation

Kovchegov, Yuri V.; Sievert, Matthew D.

doi:10.1103/PhysRevD.89.054035

Sivers function in the quasiclassical approximation

Journal Article · Wed Mar 26 00:00:00 EDT 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.89.054035· OSTI ID:1604453

Kovchegov, Yuri V. ^[1]; Sievert, Matthew D. ^[2]

The Ohio State Univ., Columbus, OH (United States); The Ohio State University
The Ohio State Univ., Columbus, OH (United States)

In this study, we calculate the Sivers function in semi-inclusive deep inelastic scattering (SIDIS) and in the Drell-Yan process (DY) by employing the quasiclassical Glauber-Mueller/McLerran-Venugopalan approximation. Modeling the hadron as a large “nucleus” with nonzero orbital angular momentum (OAM), we find that its Sivers function receives two dominant contributions: one contribution is due to the OAM, while another one is due to the local Sivers function density in the nucleus. While the latter mechanism, being due to the “lensing” interactions, dominates at large transverse momentum of the produced hadron in SIDIS or of the dilepton pair in DY, the former (OAM) mechanism is leading in saturation power counting and dominates when the above transverse momenta become of the order of the saturation scale. We show that the OAM channel allows for a particularly simple and intuitive interpretation of the celebrated sign flip between the Sivers functions in SIDIS and DY.

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State Univ., Columbus, OH (United States)

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

Grant/Contract Number:: SC0004286

OSTI ID:: 1604453

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 5 Vol. 89; ISSN PRVDAQ; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (67)

A possible interpretation of pp rising total cross-sections Łukaszuk, L.; Nicolescu, B. Lettere al Nuovo Cimento, Vol. 8, Issue 7 https://doi.org/10.1007/BF02824484	journal	October 1973
Bessel-weighted asymmetries in semi-inclusive deep inelastic scattering Boer, D.; Gamberg, L.; Musch, B. U. Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)021	journal	October 2011
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
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
Hadronic matter current distribution inside a polarized nucleus and a polarized hadron Chou, T. T.; Ning Yang, Chen Nuclear Physics B, Vol. 107, Issue 1 https://doi.org/10.1016/0550-3213(76)90188-7	journal	April 1976
Back-to-back jets in QCD Collins, John C.; Soper, Davison E. Nuclear Physics B, Vol. 193, Issue 2 https://doi.org/10.1016/0550-3213(81)90339-4	journal	December 1981
Small-x behavior and parton saturation: A QCD model Mueller, A. H. Nuclear Physics B, Vol. 335, Issue 1 https://doi.org/10.1016/0550-3213(90)90173-B	journal	April 1990
Fragmentation of transversely polarized quarks probed in transverse momentum distributions Collins, John Nuclear Physics B, Vol. 396, Issue 1 https://doi.org/10.1016/0550-3213(93)90262-N	journal	May 1993
Operator expansion for high-energy scattering Balitsky, I. Nuclear Physics B, Vol. 463, Issue 1 https://doi.org/10.1016/0550-3213(95)00638-9	journal	March 1996
A new odderon solution in perturbative QCD Bartels, J.; Lipatov, L. N.; Vacca, G. P. Physics Letters B, Vol. 477, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00221-5	journal	March 2000
Chiral-odd contribution to single-transverse spin asymmetry in hadronic pion production Kanazawa, Y.; Koike, Yuji Physics Letters B, Vol. 478, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00261-6	journal	April 2000
Estimate of a chiral-odd contribution to single transverse-spin asymmetry in hadronic pion production Kanazawa, Y.; Koike, Yuji Physics Letters B, Vol. 490, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)00969-2	journal	September 2000
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
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
Polarized hyperons from pA scattering in the gluon saturation regime Boer, Daniël; Dumitru, Adrian Physics Letters B, Vol. 556, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00081-9	journal	March 2003
Nonlinear gluon evolution in the color glass condensate: I Iancu, Edmond; Leonidov, Andrei; McLerran, Larry Nuclear Physics A, Vol. 692, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)00642-X	journal	September 2001
Initial-state interactions and single-spin asymmetries in Drell–Yan processes Brodsky, Stanley J.; Hwang, Dae Sung; Schmidt, Ivan Nuclear Physics B, Vol. 642, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00617-X	journal	October 2002
Final state interactions and gauge invariant parton distributions Belitsky, A. V.; Ji, X.; Yuan, F. Nuclear Physics B, Vol. 656, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00121-4	journal	April 2003
Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation Kovchegov, Yuri V.; Mueller, A. H. Nuclear Physics B, Vol. 529, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00384-8	journal	September 1998
Baryon stopping and valence quark distribution at small x Itakura, Kazunori; Kovchegov, Yuri V.; McLerran, Larry Nuclear Physics A, Vol. 730, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2003.10.016	journal	January 2004
Odderon in the color glass condensate Hatta, Y.; Iancu, E.; Itakura, K. Nuclear Physics A, Vol. 760, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2005.05.163	journal	October 2005
Triumvirate of running couplings in small-x evolution Kovchegov, Yuri V.; Weigert, Heribert Nuclear Physics A, Vol. 784, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2006.10.075	journal	March 2007
Running coupling and power corrections in non-linear evolution at the high-energy limit Gardi, Einan; Kuokkanen, Janne; Rummukainen, Kari Nuclear Physics A, Vol. 784, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2006.12.004	journal	March 2007
Saturation models of HERA DIS data and inclusive hadron distributions in collisions at the LHC Tribedy, Prithwish; Venugopalan, Raju Nuclear Physics A, Vol. 850, Issue 1 https://doi.org/10.1016/j.nuclphysa.2010.12.006	journal	January 2011
Perturbative odderon in the dipole model Kovchegov, Yuri V.; Szymanowski, Lech; Wallon, Samuel Physics Letters B, Vol. 586, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.02.036	journal	April 2004
The saturation scale and its x-dependence from Λ polarization studies Boer, Daniël; Utermann, Andre; Wessels, Erik Physics Letters B, Vol. 671, Issue 1 https://doi.org/10.1016/j.physletb.2008.12.004	journal	January 2009
Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods Gamberg, Leonard; Schlegel, Marc Physics Letters B, Vol. 685, Issue 1 https://doi.org/10.1016/j.physletb.2009.12.067	journal	February 2010
Evolution at small : The color glass condensate Weigert, H. Progress in Particle and Nuclear Physics, Vol. 55, Issue 2 https://doi.org/10.1016/j.ppnp.2005.01.029	journal	October 2005
Saturation physics and deuteron–gold collisions at RHIC Jalilianmarian, J.; Kovchegov, Y. Progress in Particle and Nuclear Physics, Vol. 56, Issue 1 https://doi.org/10.1016/j.ppnp.2005.07.002	journal	January 2006
Quantum Chromodynamics at High Energy Kovchegov, Yuri V.; Levin, Eugene Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology https://doi.org/10.1017/CBO9781139022187	book	September 2012
Final state interactions & the Sivers function Gamberg, Leonard; Schlegel, Marc; Armstrong, David 12TH INTERNATIONAL CONFERENCE ON MESON-NUCLEON PHYSICS AND THE STRUCTURE OF THE NUCLEON (MENU 2010), AIP Conference Proceedings https://doi.org/10.1063/1.3647149	conference	January 2011
Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution Kovner, Alex; Lublinsky, Michael Journal of High Energy Physics, Vol. 2007, Issue 02 https://doi.org/10.1088/1126-6708/2007/02/058	journal	February 2007
Nuclear effects in the Drell-Yan process at very high energies Kopeliovich, B. Z.; Raufeisen, J.; Tarasov, A. V. Physical Review C, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevC.67.014903	journal	January 2003
Exclusive processes in perturbative quantum chromodynamics Lepage, G. Peter; Brodsky, Stanley J. Physical Review D, Vol. 22, Issue 9 https://doi.org/10.1103/PhysRevD.22.2157	journal	November 1980
On the elimination of scale ambiguities in perturbative quantum chromodynamics Brodsky, Stanley J.; Lepage, G. Peter; Mackenzie, Paul B. Physical Review D, Vol. 28, Issue 1 https://doi.org/10.1103/PhysRevD.28.228	journal	July 1983
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
Hard-scattering scaling laws for single-spin production asymmetries Sivers, Dennis Physical Review D, Vol. 43, Issue 1 https://doi.org/10.1103/PhysRevD.43.261	journal	January 1991
Computing quark and gluon distribution functions for very large nuclei McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 5 https://doi.org/10.1103/PhysRevD.49.2233	journal	March 1994
Gluon distribution functions for very large nuclei at small transverse momentum McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 7 https://doi.org/10.1103/PhysRevD.49.3352	journal	April 1994
Green’s function in the color field of a large nucleus McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 50, Issue 3 https://doi.org/10.1103/PhysRevD.50.2225	journal	August 1994
Intrinsic glue distribution at very small x Jalilian-Marian, Jamal; Kovner, Alex; McLerran, Larry Physical Review D, Vol. 55, Issue 9 https://doi.org/10.1103/PhysRevD.55.5414	journal	May 1997
Quantum structure of the non-Abelian Weizsäcker-Williams field for a very large nucleus Kovchegov, Yuri V. Physical Review D, Vol. 55, Issue 9 https://doi.org/10.1103/PhysRevD.55.5445	journal	May 1997
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
Single transverse-spin asymmetries in hadronic pion production Qiu, Jianwei; Sterman, George Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014004	journal	November 1998
Wilson renormalization group for low x physics: Gluon evolution at finite parton density Jalilian-Marian, Jamal; Kovner, Alex; Weigert, Heribert Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014015	journal	November 1998
Saturation effects in deep inelastic scattering at low Q 2 and its implications on diffraction Golec-Biernat, K.; Wüsthoff, M. Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014017	journal	November 1998
Small- x F 2 structure function of a nucleus including multiple Pomeron exchanges Kovchegov, Yuri V. Physical Review D, Vol. 60, Issue 3 https://doi.org/10.1103/PhysRevD.60.034008	journal	June 1999
Saturation in diffractive deep inelastic scattering Golec-Biernat, K.; Wüsthoff, M. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.114023	journal	November 1999
Deep inelastic leptoproduction of spin-one hadrons Bacchetta, A.; Mulders, P. J. Physical Review D, Vol. 62, Issue 11 https://doi.org/10.1103/PhysRevD.62.114004	journal	October 2000
Initial-state interactions in the unpolarized Drell-Yan process Boer, Daniël; Brodsky, Stanley J.; Hwang, Dae Sung Physical Review D, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevD.67.054003	journal	March 2003
Impact parameter dipole saturation model Kowalski, Henri; Teaney, Derek Physical Review D, Vol. 68, Issue 11 https://doi.org/10.1103/PhysRevD.68.114005	journal	December 2003
Classical odderon in QCD at high energies Jeon, Sangyong; Venugopalan, Raju Physical Review D, Vol. 71, Issue 12 https://doi.org/10.1103/PhysRevD.71.125003	journal	June 2005
Single transverse-spin asymmetries in forward pion production at high energy: Incorporating small- x effects in the target Boer, Daniël; Dumitru, Adrian; Hayashigaki, Arata Physical Review D, Vol. 74, Issue 7 https://doi.org/10.1103/PhysRevD.74.074018	journal	October 2006
Quark contribution to the small- x evolution of color dipole Balitsky, Ian Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014001	journal	January 2007
Probing the three-gluon correlation functions by the single spin asymmetry in p ↑ p → D X Koike, Yuji; Yoshida, Shinsuke Physical Review D, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevD.84.014026	journal	July 2011
Single spin asymmetry scaling in the forward rapidity region at RHIC Kang, Zhong-Bo; Yuan, Feng Physical Review D, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevD.84.034019	journal	August 2011
Distribution of linearly polarized gluons inside a large nucleus Metz, Andreas; Zhou, Jian Physical Review D, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevD.84.051503	journal	September 2011
Linearly polarized gluon distributions in the color dipole model Dominguez, Fabio; Qiu, Jian-Wei; Xiao, Bo-Wen Physical Review D, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevD.85.045003	journal	February 2012
New mechanism for generating a single transverse spin asymmetry Kovchegov, Yuri V.; Sievert, Matthew D. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.034028	journal	August 2012
Sivers asymmetry of Drell-Yan production in the small- x regime Kang, Zhong-Bo; Xiao, Bo-Wen Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034038	journal	February 2013
Single-spin asymmetries in semi-inclusive deep inelastic scattering and Drell-Yan processes Brodsky, Stanley J.; Hwang, Dae Sung; Kovchegov, Yuri V. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014032	journal	July 2013
Transverse Quark Polarization in Large- p T Reactions, e + e − Jets, and Leptoproduction: A Test of Quantum Chromodynamics Kane, G. L.; Pumplin, J.; Repko, W. Physical Review Letters, Vol. 41, Issue 25 https://doi.org/10.1103/PhysRevLett.41.1689	journal	December 1978
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
Bounds on Transverse Momentum Dependent Distribution and Fragmentation Functions Bacchetta, A.; Boglione, M.; Henneman, A. Physical Review Letters, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevLett.85.712	journal	July 2000
AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks Albacete, Javier L.; Armesto, Néstor; Milhano, José Guilherme The European Physical Journal C, Vol. 71, Issue 7 https://doi.org/10.1140/epjc/s10052-011-1705-3	journal	July 2011
Perspectives on Higgs Physics II Kane, Gordon L. Advanced Series on Directions in High Energy Physics https://doi.org/10.1142/ASDHEP	book	November 1997
The Color Glass Condensate Gelis, Francois; Iancu, Edmond; Jalilian-Marian, Jamal Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.010909.083629	journal	November 2010

Cited By (5)

Helicity evolution at small x Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D. Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)072	journal	January 2016
Helicity-dependent generalization of the JIMWLK evolution Cougoulic, Florian; Kovchegov, Yuri V. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.114020	journal	December 2019
JIMWLK evolution of the odderon Lappi, T.; Ramnath, A.; Rummukainen, K. Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/physrevd.94.054014	journal	September 2016
Sivers Function in the Quasi-Classical Approximation Sievert, Matthew D. International Journal of Modern Physics: Conference Series, Vol. 37 https://doi.org/10.1142/s2010194515600320	journal	January 2015
Helicity-dependent generalization of the JIMWLK evolution Cougoulic, Florian; Kovchegov, Yuri V. arXiv https://doi.org/10.48550/arxiv.1910.04268	text	January 2019

Similar Records

TMD's in Drell-Yan Processes

Journal Article · Mon Mar 23 00:00:00 EDT 2009 · AIP Conference Proceedings · OSTI ID:21293452

Deeply Virtual Pseudoscalar Meson Production at Jefferson Lab and Transversity GPDs

Conference · Sun Jan 31 23:00:00 EST 2016 · Int. J. Mod. Phys. Conf. Ser. · OSTI ID:1242483

Studying the Sivers and Boer-Mulders function with Lattice QCD

Conference · Tue Nov 01 00:00:00 EDT 2011 · Few-Body Systems, · OSTI ID:1040694

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Sivers function in the quasiclassical approximation

Citation Formats

References (67)

Cited By (5)

Similar Records

Related Subjects