Polarized TMD fragmentation functions for 𝐽/𝜓 production

Copeland, Marston; Fleming, Sean; Gupta, Rohit; Hodges, Reed; Mehen, Thomas

doi:10.1103/PhysRevD.109.054017

Polarized TMD fragmentation functions for 𝐽/𝜓 production

Journal Article · Mon Mar 11 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.054017· OSTI ID:2322582

^[1]; ^[2]; ^[2]; ^[1]; Mehen, Thomas ^[1]

Duke University, Durham, NC (United States)
University of Arizona, Tucson, AZ (United States)

We calculate the matching, at leading order, of the transverse momentum-dependent fragmentation functions (TMDFFs) for light quarks and gluons fragmenting to a 𝐽/𝜓 onto polarized nonrelativistic QCD (NRQCD) TMDFFs. The NRQCD TMDFFs have an operator product expansion in terms of nonperturbative NRQCD production matrix elements. Using the results we obtain, we make predictions for the light quark fragmentation contribution to the production of polarized 𝐽/𝜓 in semi-inclusive deep inelastic scattering (SIDIS) both for unpolarized and longitudinally polarized beams. These results are an important contribution to polarized 𝐽/𝜓 production in SIDIS and thus are needed for comparison with experiments at the future Electron-Ion Collider.

View Journal Article

Research Organization:: Duke University, Durham, NC (United States); Univ. of Arizona, Tucson, AZ (United States)

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

Grant/Contract Number:: FG02-04ER41338; FG02-05ER41367; SC0023547

OSTI ID:: 2322582

Alternate ID(s):: OSTI ID: 2350831
OSTI ID: 2901075
OSTI ID: 2868545

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 109; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (75)

J/ψ polarization in semi-inclusive DIS at low and high transverse momentum D’Alesio, Umberto; Maxia, Luca; Murgia, Francesco Journal of High Energy Physics, Vol. 2022, Issue 3 https://doi.org/10.1007/JHEP03(2022)037	journal	March 2022
Unpolarised transverse momentum dependent distribution and fragmentation functions from SIDIS multiplicities Anselmino, M.; Boglione, M.; Gonzalez H., J. O. Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)005	journal	April 2014
An effective field theory approach to quarkonium at small transverse momentum Fleming, Sean; Makris, Yiannis; Mehen, Thomas Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)122	journal	April 2020
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory Chiu, Jui-Yu; Jain, Ambar; Neill, Duff Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)084	journal	May 2012
Semi-inclusive deep-inelastic scattering in Wandzura-Wilczek-type approximation Bastami, S.; Avakian, H.; Efremov, A. V. Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/JHEP06(2019)007	journal	June 2019
Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production Bertone, Valerio; Scimemi, Ignazio; Vladimirov, Alexey Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/JHEP06(2019)028	journal	June 2019
Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum Scimemi, Ignazio; Vladimirov, Alexey Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)137	journal	June 2020
Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone Echevarría, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)002	journal	July 2012
Transverse momentum dependent shape function for J/ψ production in SIDIS Boer, Daniël; Bor, Jelle; Maxia, Luca Journal of High Energy Physics, Vol. 2023, Issue 8 https://doi.org/10.1007/JHEP08(2023)105	journal	August 2023
J/ψ meson production in SIDIS: matching high and low transverse momentum Boer, Daniël; D’Alesio, Umberto; Murgia, Francesco Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)040	journal	September 2020
Transverse momentum distributions of heavy hadrons and polarized heavy quarks von Kuk, Rebecca; Michel, Johannes K. L.; Sun, Zhiquan Journal of High Energy Physics, Vol. 2023, Issue 9 https://doi.org/10.1007/JHEP09(2023)205	journal	September 2023
Gluon and Wilson loop TMDs for hadrons of spin ≤ 1 Boer, Daniël; Cotogno, Sabrina; van Daal, Tom Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)013	journal	October 2016
Proper TMD factorization for quarkonia production: pp → ηc, b as a study case Echevarria, Miguel G. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)144	journal	October 2019
Quarkonium TMD fragmentation functions in NRQCD Echevarria, Miguel G.; Makris, Yiannis; Scimemi, Ignazio Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)164	journal	October 2020
Gluon TMD fragmentation function into quarkonium Echevarria, Miguel G.; Romera, Samuel F.; Scimemi, Ignazio Journal of High Energy Physics, Vol. 2023, Issue 12 https://doi.org/10.1007/JHEP12(2023)181	journal	December 2023
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
Back-to-back jets: Fourier transform from b to kT Collins, John C.; Soper, Davison E. Nuclear Physics B, Vol. 197, Issue 3 https://doi.org/10.1016/0550-3213(82)90453-9	journal	April 1982
Errata Collins, J. C.; Soper, D. E. Nuclear Physics B, Vol. 213, Issue 3, p. 545 https://doi.org/10.1016/0550-3213(83)90235-3	journal	March 1983
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
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. 484, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00648-7	journal	January 1997
Potential NRQCD: an effective theory for heavy quarkonium Brambilla, Nora; Pineda, Antonio; Soto, Joan Nuclear Physics B, Vol. 566, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00693-8	journal	January 2000
Science Requirements and Detector Concepts for the Electron-Ion Collider Abdul Khalek, R.; Accardi, A.; Adam, J. Nuclear Physics A, Vol. 1026 https://doi.org/10.1016/j.nuclphysa.2022.122447	journal	October 2022
Angular dependences in inclusive two-hadron production at BELLE Boer, Daniël Nuclear Physics B, Vol. 806, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.06.011	journal	January 2009
QCD transverse-momentum resummation in gluon fusion processes Catani, Stefano; Grazzini, Massimiliano Nuclear Physics B, Vol. 845, Issue 3 https://doi.org/10.1016/j.nuclphysb.2010.12.007	journal	April 2011
Transverse-momentum resummation for heavy-quark hadroproduction Catani, Stefano; Grazzini, Massimiliano; Torre, Alessandro Nuclear Physics B, Vol. 890 https://doi.org/10.1016/j.nuclphysb.2014.11.019	journal	January 2015
Fragmentation, factorization and infrared poles in heavy quarkonium production Nayak, Gouranga C.; Qiu, Jian-Wei; Sterman, George Physics Letters B, Vol. 613, Issue 1-2 https://doi.org/10.1016/j.physletb.2005.03.031	journal	April 2005
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
Low transverse momentum heavy quark pair production to probe gluon tomography Zhu, Ruilin; Sun, Peng; Yuan, Feng Physics Letters B, Vol. 727, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.11.002	journal	December 2013
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
Azimuthal asymmetries in semi-inclusive J / ψ + jet production at an EIC D’Alesio, Umberto; Murgia, Francesco; Pisano, Cristian Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevD.100.094016	journal	November 2019
Deuteron polarizations in the proton-deuteron Drell-Yan process for finding the gluon transversity Kumano, S.; Song, Qin-Tao Physical Review D, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevD.101.094013	journal	May 2020
Origin of single transverse-spin asymmetries in high-energy collisions Cammarota, Justin; Gamberg, Leonard; Kang, Zhong-Bo Physical Review D, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevD.102.054002	journal	September 2020
Cos(2ϕh) asymmetry in J/ψ production in unpolarized ep collision Kishore, Raj; Mukherjee, Asmita; Siddiqah, Mariyah Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094015	journal	November 2021
TMD evolution study of the cos2ϕ azimuthal asymmetry in unpolarized J/ψ production at EIC Bor, Jelle; Boer, Daniël Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014030	journal	July 2022
Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.1125	journal	February 1995
Intrinsic transverse momentum and the polarized Drell-Yan process Tangerman, R. D.; Mulders, P. J. Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3357	journal	April 1995
Helicity decomposition for inclusive J ψ production Braaten, Eric; Chen, Yu-Qi Physical Review D, Vol. 54, Issue 5 https://doi.org/10.1103/PhysRevD.54.3216	journal	September 1996
Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)] Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter Physical Review D, Vol. 55, Issue 9 https://doi.org/10.1103/PhysRevD.55.5853	journal	May 1997
Leptoproduction ofJ/ψ Fleming, Sean; Mehen, Thomas Physical Review D, Vol. 57, Issue 3 https://doi.org/10.1103/PhysRevD.57.1846	journal	February 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
Renormalization group scaling in nonrelativistic QCD Luke, Michael E.; Manohar, Aneesh V.; Rothstein, Ira Z. Physical Review D, Vol. 61, Issue 7 https://doi.org/10.1103/PhysRevD.61.074025	journal	March 2000
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
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
Fragmentation, nonrelativistic QCD, and NNLO factorization analysis in heavy quarkonium production Nayak, Gouranga C.; Qiu, Jian-Wei; Sterman, George Physical Review D, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevD.72.114012	journal	December 2005
Nonrelativistic QCD factorization and the velocity dependence of NNLO poles in heavy quarkonium production Nayak, Gouranga C.; Qiu, Jian-Wei; Sterman, George Physical Review D, Vol. 74, Issue 7 https://doi.org/10.1103/PhysRevD.74.074007	journal	October 2006
World data of J / ψ production consolidate nonrelativistic QCD factorization at next-to-leading order Butenschoen, Mathias; Kniehl, Bernd A. Physical Review D, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevD.84.051501	journal	September 2011
Sivers effect and transverse single spin asymmetry in e + p ↑ → e + J / ψ + X Godbole, Rohini M.; Misra, Anuradha; Mukherjee, Asmita Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.094013	journal	May 2012
Polarized gluon studies with charmonium and bottomonium at LHCb and AFTER Boer, Daniël; Pisano, Cristian Physical Review D, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevD.86.094007	journal	November 2012
Transverse single spin asymmetry in e + p ↑ → e + J / ψ + X and transverse momentum dependent evolution of the Sivers function Godbole, Rohini M.; Misra, Anuradha; Mukherjee, Asmita Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014029	journal	July 2013
Heavy quarkonium production at low P ⊥ in nonrelativistic QCD with soft gluon resummation Sun, Peng; Yuan, C. -P.; Yuan, Feng Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.054008	journal	September 2013
Polarized hadron pair production from electron-positron annihilation Pitonyak, D.; Schlegel, M.; Metz, A. Physical Review D, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevD.89.054032	journal	March 2014
Heavy quarkonium production at collider energies: Factorization and evolution Kang, Zhong-Bo; Ma, Yan-Qing; Qiu, Jian-Wei Physical Review D, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevD.90.034006	journal	August 2014
Heavy quarkonium production at collider energies: Partonic cross section and polarization Kang, Zhong-Bo; Ma, Yan-Qing; Qiu, Jian-Wei Physical Review D, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevD.91.014030	journal	January 2015
Probing transverse momentum dependent parton distributions in charmonium and bottomonium production Mukherjee, Asmita; Rajesh, Sangem Physical Review D, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevD.93.054018	journal	March 2016
Linearly polarized gluons in charmonium and bottomonium production in the color octet model Mukherjee, Asmita; Rajesh, Sangem Physical Review D, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevD.95.034039	journal	February 2017
Sivers effect in inelastic J / ψ photoproduction in e p ↑ collision in color octet model Rajesh, Sangem; Kishore, Raj; Mukherjee, Asmita Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014007	journal	July 2018
J / ψ Polarization at Hadron Colliders in Nonrelativistic QCD Chao, Kuang-Ta; Ma, Yan-Qing; Shao, Hua-Sheng Physical Review Letters, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevLett.108.242004	journal	June 2012
Accessing the Transverse Dynamics and Polarization of Gluons inside the Proton at the LHC den Dunnen, Wilco J.; Lansberg, Jean-Philippe; Pisano, Cristian Physical Review Letters, Vol. 112, Issue 21 https://doi.org/10.1103/PhysRevLett.112.212001	journal	May 2014
Fragmentation Contributions to J / ψ Production at the Tevatron and the LHC Bodwin, Geoffrey T.; Chung, Hee Sok; Kim, U-Rae Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.022001	journal	July 2014
Factorized Power Expansion for High- p T Heavy Quarkonium Production Ma, Yan-Qing; Qiu, Jian-Wei; Sterman, George Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142002	journal	October 2014
Very High-Energy Collisions of Hadrons Feynman, Richard P. Physical Review Letters, Vol. 23, Issue 24 https://doi.org/10.1103/PhysRevLett.23.1415	journal	December 1969
High-Energy Inelastic e − p Scattering at 6° and 10° Bloom, E. D.; Coward, D. H.; DeStaebler, H. Physical Review Letters, Vol. 23, Issue 16 https://doi.org/10.1103/PhysRevLett.23.930	journal	October 1969
Massive Lepton-Pair Production in Hadron-Hadron Collisions at High Energies Drell, Sidney D.; Yan, Tung-Mow Physical Review Letters, Vol. 25, Issue 5 https://doi.org/10.1103/PhysRevLett.25.316	journal	August 1970
Massive Lepton-Pair Production in Hadron-Hadron Collisions at High Energies Drell, Sidney D.; Yan, Tung-Mow Physical Review Letters, Vol. 25, Issue 13 https://doi.org/10.1103/PhysRevLett.25.902.2	journal	September 1970
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all Accardi, A.; Albacete, J. L.; Anselmino, M. The European Physical Journal A, Vol. 52, Issue 9 https://doi.org/10.1140/epja/i2016-16268-9	journal	September 2016
$$J/\psi $$ J / ψ production in polarized and unpolarized ep collision and Sivers and $$\cos 2\phi $$ cos 2 ϕ asymmetries Mukherjee, Asmita; Rajesh, Sangem The European Physical Journal C, Vol. 77, Issue 12 https://doi.org/10.1140/epjc/s10052-017-5406-4	journal	December 2017
Studies of gluon TMDs and their evolution using quarkonium-pair production at the LHC Scarpa, Florent; Boer, Daniël; Echevarria, Miguel G. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-020-7619-1	journal	February 2020
Gluon TMDs and NRQCD matrix elements in $${J}{/}{\psi }$$J/ψ production at an EIC Bacchetta, Alessandro; Boer, Daniël; Pisano, Cristian The European Physical Journal C, Vol. 80, Issue 1 https://doi.org/10.1140/epjc/s10052-020-7620-8	journal	January 2020
On the analysis of lepton scattering on longitudinally or transversely polarized protons Diehl, M.; Sapeta, S. The European Physical Journal C, Vol. 41, Issue 4 https://doi.org/10.1140/epjc/s2005-02242-9	journal	June 2005
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
Next-To-Leading Order Tests of Non-Relativistic-Qcd Factorization with j/ψ Yield and Polarization Butenschoen, Mathias; Kniehl, Bernd A. Modern Physics Letters A, Vol. 28, Issue 09 https://doi.org/10.1142/S0217732313500272	journal	March 2013
Nonperturbative functions for SIDIS and Drell–Yan processes Sun, Peng; Isaacson, Joshua; Yuan, C. -P. International Journal of Modern Physics A, Vol. 33, Issue 11 https://doi.org/10.1142/S0217751X18410063	journal	April 2018
QCD factorization for hadronic quarkonium production at high $p_T$ Lee, Kyle; Qiu, Jian-Wei; Sterman, George SciPost Physics Proceedings, Issue 8 https://doi.org/10.21468/SciPostPhysProc.8.143	journal	July 2022
Transverse Momentum Distributions of Quarks from the Lattice using Extended Gauge Links Musch, Bernhard Proceedings of The XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007) https://doi.org/10.22323/1.042.0155	conference	March 2008
Transverse Momentum Dependent (TMD) Parton Distribution Functions: Status and Prospects Angeles-Martinez, R.; Bacchetta, A.; Balitsky, I. I. Acta Physica Polonica B, Vol. 46, Issue 12 https://doi.org/10.5506/APhysPolB.46.2501	journal	January 2015

Similar Records

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Charm quark
Effective field theory
Nonperturbative effects in field theory
Particle production
Quantum chromodynamics
Quarkonia

Polarized TMD fragmentation functions for 𝐽/𝜓 production

Citation Formats

References (75)

Similar Records

Related Subjects