Transverse momentum dependent PDFs at N3LO
We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N³LO) in perturbative QCD. Our calculation is based on an expansion of the differential Drell-Yan and gluon fusion Higgs production cross sections about their collinea...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2021
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| Online Access: | https://hdl.handle.net/1721.1/130078 |
| _version_ | 1811093804310069248 |
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| author | Ebert, Markus Mistlberger, Bernhard Vita, Gherardo |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ebert, Markus Mistlberger, Bernhard Vita, Gherardo |
| author_sort | Ebert, Markus |
| collection | MIT |
| description | We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N³LO) in perturbative QCD. Our calculation is based on an expansion of the differential Drell-Yan and gluon fusion Higgs production cross sections about their collinear limit. This method allows us to employ cutting edge multiloop techniques for the computation of cross sections to extract these universal building blocks of the collinear limit of QCD. The corresponding perturbative matching kernels for all channels are expressed in terms of simple harmonic polylogarithms up to weight five. As a byproduct, we confirm a previous computation of the soft function for transverse momentum factorization at N³LO. Our results are the last missing ingredient to extend the qT subtraction methods to N³LO and to obtain resummed qT spectra at N³LL′ accuracy both for gluon as well as for quark initiated processes. |
| first_indexed | 2024-09-23T15:50:58Z |
| format | Article |
| id | mit-1721.1/130078 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:50:58Z |
| publishDate | 2021 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1300782022-09-29T16:33:56Z Transverse momentum dependent PDFs at N3LO Ebert, Markus Mistlberger, Bernhard Vita, Gherardo Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N³LO) in perturbative QCD. Our calculation is based on an expansion of the differential Drell-Yan and gluon fusion Higgs production cross sections about their collinear limit. This method allows us to employ cutting edge multiloop techniques for the computation of cross sections to extract these universal building blocks of the collinear limit of QCD. The corresponding perturbative matching kernels for all channels are expressed in terms of simple harmonic polylogarithms up to weight five. As a byproduct, we confirm a previous computation of the soft function for transverse momentum factorization at N³LO. Our results are the last missing ingredient to extend the qT subtraction methods to N³LO and to obtain resummed qT spectra at N³LL′ accuracy both for gluon as well as for quark initiated processes. 2021-03-04T15:19:45Z 2021-03-04T15:19:45Z 2020-09 2020-06 2020-12-27T05:05:50Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/130078 Ebert, Markus A. et al. "Transverse momentum dependent PDFs at N3LO." Journal of High Energy Physics 2020, 9 (September 2020): 146 © 2020 The Author(s) en https://doi.org/10.1007/JHEP09(2020)146 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Science and Business Media LLC Springer Berlin Heidelberg |
| spellingShingle | Ebert, Markus Mistlberger, Bernhard Vita, Gherardo Transverse momentum dependent PDFs at N3LO |
| title | Transverse momentum dependent PDFs at N3LO |
| title_full | Transverse momentum dependent PDFs at N3LO |
| title_fullStr | Transverse momentum dependent PDFs at N3LO |
| title_full_unstemmed | Transverse momentum dependent PDFs at N3LO |
| title_short | Transverse momentum dependent PDFs at N3LO |
| title_sort | transverse momentum dependent pdfs at n3lo |
| url | https://hdl.handle.net/1721.1/130078 |
| work_keys_str_mv | AT ebertmarkus transversemomentumdependentpdfsatn3lo AT mistlbergerbernhard transversemomentumdependentpdfsatn3lo AT vitagherardo transversemomentumdependentpdfsatn3lo |