Determining the nonperturbative Collins-Soper kernel from lattice QCD
At small transverse momentum q[subscript T], transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive deep-inelastic scattering. TMDPDFs naturally depend on t...
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| Format: | Article |
| Language: | English |
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American Physical Society
2019
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| Online Access: | http://hdl.handle.net/1721.1/120589 https://orcid.org/0000-0003-0555-0688 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1826204709623431168 |
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| author | Ebert, Markus Stewart, Iain W Zhao, Yong |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ebert, Markus Stewart, Iain W Zhao, Yong |
| author_sort | Ebert, Markus |
| collection | MIT |
| description | At small transverse momentum q[subscript T], transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive deep-inelastic scattering. TMDPDFs naturally depend on the hadron momentum, and the associated evolution is determined by the Collins-Soper equation. For q[subscript T] ∼ Λ[subscript QCD] the corresponding evolution kernel (or anomalous dimension) is nonperturbative and must be determined as an independent ingredient in order to relate TMDPDFs at different scales. We propose a method to extract this kernel using lattice QCD and the large-momentum effective theory, where the physical TMD correlation involving light-like paths is approximated by a quasi-TMDPDF, defined using equal-time correlation functions with a large-momentum hadron state. The kernel is determined from a ratio of quasi-TMDPDFs extracted at different hadron momenta. |
| first_indexed | 2024-09-23T12:59:29Z |
| format | Article |
| id | mit-1721.1/120589 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:59:29Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1205892022-09-28T11:22:33Z Determining the nonperturbative Collins-Soper kernel from lattice QCD Ebert, Markus Stewart, Iain W Zhao, Yong Massachusetts Institute of Technology. Center for Theoretical Physics Ebert, Markus Stewart, Iain W Zhao, Yong At small transverse momentum q[subscript T], transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive deep-inelastic scattering. TMDPDFs naturally depend on the hadron momentum, and the associated evolution is determined by the Collins-Soper equation. For q[subscript T] ∼ Λ[subscript QCD] the corresponding evolution kernel (or anomalous dimension) is nonperturbative and must be determined as an independent ingredient in order to relate TMDPDFs at different scales. We propose a method to extract this kernel using lattice QCD and the large-momentum effective theory, where the physical TMD correlation involving light-like paths is approximated by a quasi-TMDPDF, defined using equal-time correlation functions with a large-momentum hadron state. The kernel is determined from a ratio of quasi-TMDPDFs extracted at different hadron momenta. United States. Department of Energy (Grant DE-SC0011090) 2019-03-01T16:51:34Z 2019-03-01T16:51:34Z 2019-02 2018-11 2019-02-19T18:00:14Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/120589 Ebert, Markus A. et al. "Determining the nonperturbative Collins-Soper kernel from lattice QCD." Physical Review D 99, 3 (February 2019): 034505 https://orcid.org/0000-0003-0555-0688 https://orcid.org/0000-0003-0248-0979 en http://dx.doi.org/10.1103/PhysRevD.99.034505 Physical Review D Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 application/pdf American Physical Society American Physical Society |
| spellingShingle | Ebert, Markus Stewart, Iain W Zhao, Yong Determining the nonperturbative Collins-Soper kernel from lattice QCD |
| title | Determining the nonperturbative Collins-Soper kernel from lattice QCD |
| title_full | Determining the nonperturbative Collins-Soper kernel from lattice QCD |
| title_fullStr | Determining the nonperturbative Collins-Soper kernel from lattice QCD |
| title_full_unstemmed | Determining the nonperturbative Collins-Soper kernel from lattice QCD |
| title_short | Determining the nonperturbative Collins-Soper kernel from lattice QCD |
| title_sort | determining the nonperturbative collins soper kernel from lattice qcd |
| url | http://hdl.handle.net/1721.1/120589 https://orcid.org/0000-0003-0555-0688 https://orcid.org/0000-0003-0248-0979 |
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