Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism

Gamberg, Leonard; Metz, Andreas; Pitonyak, Daniel; Prokudin, Alexei

doi:10.1016/j.physletb.2018.03.024

Title: Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism

Journal Article · 14 March 2018 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2018.03.024 · OSTI ID:1426510

^[1]; Metz, Andreas ^[2]; Pitonyak, Daniel ^[1];

^[3]

Penn State University Berks, Reading, PA (United States)
Temple University, Philadelphia, PA (United States)
Penn State University Berks, Reading, PA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We extend the improved Collins–Soper–Sterman (iCSS) W+Y construction recently presented in [1] to the case of polarized observables, where we focus in particular on the Sivers effect in semi-inclusive deep-inelastic scattering. We further show how one recovers the expected leading-order collinear twist-3 result from a (weighted) q_T-integral of the differential cross section. We are also able to demonstrate the validity of the well-known relation between the (TMD) Sivers function and the (collinear twist-3) Qiu–Sterman function within the iCSS framework. This relation allows for their interpretation as functions yielding the average transverse momentum of unpolarized quarks in a transversely polarized spin-$$\frac{1}{2}$$ target. We further outline how this study can be generalized to other polarized quantities.

View Journal Article

Cite

Export

Save

Research Organization:: Penn State Univ. Berks, Reading, PA (United States); Penn State University Berks, Reading, PA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FG02-07ER41460

OSTI ID:: 1426510

Report Number(s):: DOE/OR/23177--4422; JLAB-THY--18-2690; arXiv:1712.08116

Journal Information:: Physics Letters B, Journal Name: Physics Letters B Vol. 781; ISSN 0370-2693

Publisher:: Elsevier BVCopyright Statement

Country of Publication:: United States

Language:: English

References (44)

Average Transverse Momentum Quantities Approaching the Lightfront Boer, Daniël Few-Body Systems, Vol. 56, Issue 6-9 https://doi.org/10.1007/s00601-014-0940-1	journal	January 2015
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
Small transverse momentum distributions in hard processes Parisi, G.; Petronzio, R. Nuclear Physics B, Vol. 154, Issue 3 https://doi.org/10.1016/0550-3213(79)90040-3	journal	August 1979
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
Parton distribution and decay functions Collins, John C.; Soper, Davison E. Nuclear Physics B, Vol. 194, Issue 3 https://doi.org/10.1016/0550-3213(82)90021-9	journal	January 1982
Transverse momentum distribution in Drell-Yan pair and W and Z boson production Collins, J. C.; Soper, Davison E.; Sterman, George Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90479-1	journal	January 1985
Single transverse spin asymmetries in direct photon production Qiu, Jianwei; Sterman, George Nuclear Physics B, Vol. 378, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90003-T	journal	July 1992
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
The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction Mulders, P. J.; Tangerman, R. D. Nuclear Physics B, Vol. 461, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00632-X	journal	February 1996
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
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
Asymmetries in polarized hadron production in e+e− annihilation up to order Boer, D.; Jakob, R.; Mulders, P. J. Nuclear Physics B, Vol. 504, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00456-2	journal	October 1997
Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC Bozzi, Giuseppe; Catani, Stefano; de Florian, Daniel Nuclear Physics B, Vol. 737, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.12.022	journal	March 2006
Resummation for polarized semi-inclusive deep-inelastic scattering at small transverse momentum Koike, Yuji; Nagashima, Junji; Vogelsang, Werner Nuclear Physics B, Vol. 744, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.03.009	journal	June 2006
Parameterization of the quark–quark correlator of a spin-12 hadron Goeke, K.; Metz, A.; Schlegel, M. Physics Letters B, Vol. 618, Issue 1-4 https://doi.org/10.1016/j.physletb.2005.05.037	journal	July 2005
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
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
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
II – Experimental investigation of transverse spin asymmetries in μ-p SIDIS processes: Sivers asymmetries Adolph, C.; Alekseev, M. G.; Alexakhin, V. Yu. Physics Letters B, Vol. 717, Issue 4-5 https://doi.org/10.1016/j.physletb.2012.09.056	journal	October 2012
Kinematics of current region fragmentation in semi-inclusive deeply inelastic scattering Boglione, M.; Collins, J.; Gamberg, L. Physics Letters B, Vol. 766 https://doi.org/10.1016/j.physletb.2017.01.021	journal	March 2017
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
Single spin asymmetries from a gluonic background in the Drell-Yan process Boer, D.; Mulders, P. J.; Teryaev, O. V. Physical Review D, Vol. 57, Issue 5 https://doi.org/10.1103/PhysRevD.57.3057	journal	March 1998
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
Role of the nonperturbative input in QCD resummed Drell-Yan Q T distributions Qiu, Jianwei; Zhang, Xiaofei Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114011	journal	April 2001
Joint resummation in electroweak boson production Kulesza, Anna; Sterman, George; Vogelsang, Werner Physical Review D, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevD.66.014011	journal	July 2002
Joint resummation for Higgs boson production Kulesza, Anna; Sterman, George; Vogelsang, Werner Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.014012	journal	January 2004
Collins-Soper equation for the energy evolution of transverse-momentum and spin dependent parton distributions Idilbi, Ahmad; Ji, Xiangdong; Ma, Jian-Ping Physical Review D, Vol. 70, Issue 7 https://doi.org/10.1103/PhysRevD.70.074021	journal	October 2004
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
Relations between generalized and transverse momentum dependent parton distributions Meißner, S.; Metz, A.; Goeke, K. Physical Review D, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevD.76.034002	journal	August 2007
Hyperon polarization in unpolarized scattering processes Zhou, Jian; Yuan, Feng; Liang, Zuo-Tang Physical Review D, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevD.78.114008	journal	December 2008
Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution Aybat, S. Mert; Rogers, Ted C. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114042	journal	June 2011
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
Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: The role of fragmentation in collinear factorization Kanazawa, Koichi; Koike, Yuji; Metz, Andreas Physical Review D, Vol. 89, Issue 11 https://doi.org/10.1103/PhysRevD.89.111501	journal	June 2014
Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel Collins, John; Rogers, Ted Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074020	journal	April 2015
Relating transverse-momentum-dependent and collinear factorization theorems in a generalized formalism Collins, J.; Gamberg, L.; Prokudin, A. Physical Review D, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevD.94.034014	journal	August 2016
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
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 Spin Asymmetries in Charged Pion Production from Semi-Inclusive Deep Inelastic Scattering on a Transversely Polarized He 3 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
Indication on the Process Dependence of the Sivers Effect Gamberg, Leonard; Kang, Zhong-Bo; Prokudin, Alexei Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.232301	journal	June 2013
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
Higher-Order QCD Corrections in Prompt Photon Production Laenen, Eric; Sterman, George; Vogelsang, Werner Physical Review Letters, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevLett.84.4296	journal	May 2000
QCD Prediction for Heavy Boson Transverse Momentum Distributions Qiu, Jianwei; Zhang, Xiaofei Physical Review Letters, Vol. 86, Issue 13 https://doi.org/10.1103/PhysRevLett.86.2724	journal	March 2001
An overview of transverse-momentum-dependent factorization and evolution Rogers, T. C. The European Physical Journal A, Vol. 52, Issue 6 https://doi.org/10.1140/epja/i2016-16153-7	journal	June 2016

Similar Records

Relating transverse-momentum-dependent and collinear factorization theorems in a generalized formalism

Journal Article · 2016 · Physical Review D · OSTI ID:2588943

Collins, J.; Gamberg, L.; Prokudin, A.; +3 more

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

Journal Article · 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1245205

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

Connecting different TMD factorization formalisms in QCD

Journal Article · 2017 · Physical Review D · OSTI ID:1391826

Collins, John; Rogers, Ted C.

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CSS formalism
CSS formalism
TMDs
Collinear twist-3
Transverse spin
Collinear twist-3
TMDs
Transverse spin

Title: Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism

Citation Formats

References (44)

Similar Records

Related Subjects