We calculate the massive polarized three-loop pure singlet operator matrix element in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x.
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "statement": "The Author(s)", "year": "2020" } ], "control_number": "52615", "_oai": { "updated": "2020-03-23T16:52:11Z", "id": "oai:repo.scoap3.org:52615", "sets": [ "NPB" ] }, "authors": [ { "affiliations": [ { "country": "Austria", "value": "Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria" } ], "surname": "Ablinger", "given_names": "J.", "full_name": "Ablinger, J." }, { "affiliations": [ { "country": "Germany", "value": "Institut f\u00fcr Theoretische Teilchenphysik, Karlsruher Institut f\u00fcr Technologie (KIT), Karlsruhe, Germany" } ], "surname": "Behring", "given_names": "A.", "full_name": "Behring, A." }, { "affiliations": [ { "country": "Germany", "value": "Deutsches Elektronen\u2013Synchrotron, DESY, Zeuthen, Germany" } ], "surname": "Bl\u00fcmlein", "email": "Johannes.Bluemlein@desy.de", "full_name": "Bl\u00fcmlein, J.", "given_names": "J." }, { "affiliations": [ { "country": "Germany", "value": "Deutsches Elektronen\u2013Synchrotron, DESY, Zeuthen, Germany" } ], "surname": "De Freitas", "given_names": "A.", "full_name": "De Freitas, A." }, { "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, Michigan State University, East Lansing, USA" } ], "surname": "von Manteuffel", "given_names": "A.", "full_name": "von Manteuffel, A." }, { "affiliations": [ { "country": "Austria", "value": "Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria" } ], "surname": "Schneider", "given_names": "C.", "full_name": "Schneider, C." }, { "affiliations": [ { "country": "Germany", "value": "Institut f\u00fcr Theoretische Teilchenphysik, Karlsruher Institut f\u00fcr Technologie (KIT), Karlsruhe, Germany" }, { "country": "Germany", "value": "Deutsches Elektronen\u2013Synchrotron, DESY, Zeuthen, Germany" } ], "surname": "Sch\u00f6nwald", "given_names": "K.", "full_name": "Sch\u00f6nwald, K." } ], "_files": [ { "checksum": "md5:5842cd2507c3f86ef2d1969f147530be", "filetype": "xml", "bucket": "6169b5a5-bc31-40a2-932f-1f322446a7b6", "version_id": "cc6ef53d-70a7-4e65-a690-dc5208c4d9d8", "key": "10.1016/j.nuclphysb.2020.114945.xml", "size": 321840 }, { "checksum": "md5:903448d77f1fea9bbe720c5ff2c92224", "filetype": "pdf", "bucket": "6169b5a5-bc31-40a2-932f-1f322446a7b6", "version_id": "61b0726a-06fb-4419-b449-284ba5dc82ff", "key": "10.1016/j.nuclphysb.2020.114945.pdf", "size": 514746 }, { "checksum": "md5:fecc3a0408bd05e85989ef4e7315710b", "filetype": "pdf/a", "bucket": "6169b5a5-bc31-40a2-932f-1f322446a7b6", "version_id": "0689b95e-8ce0-40ef-81c5-5254121e0981", "key": "10.1016/j.nuclphysb.2020.114945_a.pdf", "size": 840371 } ], "record_creation_date": "2020-02-11T16:30:11.927174", "titles": [ { "source": "Elsevier", "title": "The three-loop single mass polarized pure singlet operator matrix element" } ], "collections": [ { "primary": "Nuclear Physics B" } ], "dois": [ { "value": "10.1016/j.nuclphysb.2020.114945" } ], "publication_info": [ { "journal_volume": "953 C", "journal_title": "Nuclear Physics B", "material": "article", "artid": "114945", "year": 2020 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "We calculate the massive polarized three-loop pure singlet operator matrix element <math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>Q</mi><mi>q</mi></mrow><mrow><mo>(</mo><mn>3</mn><mo>)</mo><mo>,</mo><mrow><mi>PS</mi></mrow></mrow></msubsup></math> in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient <math><msubsup><mrow><mi>H</mi></mrow><mrow><mi>Q</mi><mi>q</mi></mrow><mrow><mo>(</mo><mn>3</mn><mo>)</mo><mo>,</mo><mrow><mi>PS</mi></mrow></mrow></msubsup></math> in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x." } ], "imprints": [ { "date": "2020-03-23", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2020-03-23T17:39:05.813027", "source": "Elsevier", "method": "Elsevier", "submission_number": "1b26d0ee6d2311eabc4402163e01809a" } }