QCD factorization for chiral-odd parton quasi- and pseudo-distributions
Abstract We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions h L (x) and e(x), and also the twist-two transversity distribution δq(x). The corresponding factorized expressions are derived in terms of the twi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2021)087 |
| _version_ | 1831586183897939968 |
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| author | Vladimir M. Braun Yao Ji Alexey Vladimirov |
| author_facet | Vladimir M. Braun Yao Ji Alexey Vladimirov |
| author_sort | Vladimir M. Braun |
| collection | DOAJ |
| description | Abstract We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions h L (x) and e(x), and also the twist-two transversity distribution δq(x). The corresponding factorized expressions are derived in terms of the twist-two and twist-three collinear distributions to one-loop accuracy. The results are presented both in position space, as the factorization theorem for Ioffe-time distributions, and in momentum space, for quasi- and pseudo-distributions. We demonstrate that the twist-two part of the h L quasi(pseudo)-distribution can be separated from the twist-three part by virtue of an exact Jaffe-Ji-like relation. |
| first_indexed | 2024-12-17T21:30:59Z |
| format | Article |
| id | doaj.art-db07c969d7dc42d9942ecd76f3db71fc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T21:30:59Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-db07c969d7dc42d9942ecd76f3db71fc2022-12-21T21:31:52ZengSpringerOpenJournal of High Energy Physics1029-84792021-10-0120211012310.1007/JHEP10(2021)087QCD factorization for chiral-odd parton quasi- and pseudo-distributionsVladimir M. Braun0Yao Ji1Alexey Vladimirov2Institut für Theoretische Physik, Universität RegensburgTheoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität SiegenInstitut für Theoretische Physik, Universität RegensburgAbstract We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions h L (x) and e(x), and also the twist-two transversity distribution δq(x). The corresponding factorized expressions are derived in terms of the twist-two and twist-three collinear distributions to one-loop accuracy. The results are presented both in position space, as the factorization theorem for Ioffe-time distributions, and in momentum space, for quasi- and pseudo-distributions. We demonstrate that the twist-two part of the h L quasi(pseudo)-distribution can be separated from the twist-three part by virtue of an exact Jaffe-Ji-like relation.https://doi.org/10.1007/JHEP10(2021)087NLO ComputationsQCD Phenomenology |
| spellingShingle | Vladimir M. Braun Yao Ji Alexey Vladimirov QCD factorization for chiral-odd parton quasi- and pseudo-distributions Journal of High Energy Physics NLO Computations QCD Phenomenology |
| title | QCD factorization for chiral-odd parton quasi- and pseudo-distributions |
| title_full | QCD factorization for chiral-odd parton quasi- and pseudo-distributions |
| title_fullStr | QCD factorization for chiral-odd parton quasi- and pseudo-distributions |
| title_full_unstemmed | QCD factorization for chiral-odd parton quasi- and pseudo-distributions |
| title_short | QCD factorization for chiral-odd parton quasi- and pseudo-distributions |
| title_sort | qcd factorization for chiral odd parton quasi and pseudo distributions |
| topic | NLO Computations QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP10(2021)087 |
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