Transverse momentum dependent PDFs at N3LO
Abstract 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 sec...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131815 |
| _version_ | 1811078177461633024 |
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| author | Ebert, Markus A 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 A Mistlberger, Bernhard Vita, Gherardo |
| author_sort | Ebert, Markus A |
| collection | MIT |
| description | Abstract
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 | 2024-09-23T10:54:58Z |
| format | Article |
| id | mit-1721.1/131815 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:54:58Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1318152023-09-07T20:49:46Z Transverse momentum dependent PDFs at N3LO Ebert, Markus A Mistlberger, Bernhard Vita, Gherardo Massachusetts Institute of Technology. Center for Theoretical Physics Abstract 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. 2021-09-20T17:30:22Z 2021-09-20T17:30:22Z 2020-09-22 2020-09-24T03:27:41Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131815 Journal of High Energy Physics. 2020 Sep 22;2020(9):146 PUBLISHER_CC en https://doi.org/10.1007/JHEP09(2020)146 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Ebert, Markus A 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/1721.1/131815 |
| work_keys_str_mv | AT ebertmarkusa transversemomentumdependentpdfsatn3lo AT mistlbergerbernhard transversemomentumdependentpdfsatn3lo AT vitagherardo transversemomentumdependentpdfsatn3lo |