We investigate the asymptotically large loop-momentum behavior of multiloop amplitudes in maximally supersymmetric (, 8) quantum field theories in four dimensions. We check residue-theorem identities among color-dressed leading singularities in supersymmetric Yang-Mills theory to demonstrate the absence of poles at infinity of all -point MHV amplitudes through three loops. Considering the same test for supergravity leads us to discover that this theory does support nonvanishing residues at infinity starting at two loops, and the degree of these poles grow arbitrarily with multiplicity. This causes a tension between simultaneously manifesting ultraviolet finiteness—which would be automatic at two loops for representation obtained by color-kinematic duality—and gauge invariance—which would follow from unitarity-based methods.
{ "_oai": { "updated": "2022-03-04T10:32:37Z", "id": "oai:repo.scoap3.org:46162", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Jacob L. Bourjaily", "affiliations": [ { "country": "Denmark", "value": "Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen \u00d8, Denmark" } ], "surname": "Bourjaily", "given_names": "Jacob L.", "full_name": "Bourjaily, Jacob L." }, { "raw_name": "Enrico Herrmann", "affiliations": [ { "country": "USA", "value": "SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94039, USA" } ], "surname": "Herrmann", "given_names": "Enrico", "full_name": "Herrmann, Enrico" }, { "raw_name": "Jaroslav Trnka", "affiliations": [ { "country": "USA", "value": "Center for Quantum Mathematics and Physics (QMAP), Department of Physics, University of California, Davis, California 95616, USA" } ], "surname": "Trnka", "given_names": "Jaroslav", "full_name": "Trnka, Jaroslav" } ], "titles": [ { "source": "APS", "title": "Maximally supersymmetric amplitudes at infinite loop momentum" } ], "dois": [ { "value": "10.1103/PhysRevD.99.066006" } ], "publication_info": [ { "journal_volume": "99", "journal_title": "Physical Review D", "material": "article", "journal_issue": "6", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:38:00.813626", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "page_nr": [ 7 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2019" } ], "control_number": "46162", "record_creation_date": "2019-03-15T21:30:13.235411", "_files": [ { "checksum": "md5:bf6ff22b310ad13748b145ea423877dd", "filetype": "pdf", "bucket": "d43edb90-2d90-41de-9839-3a00004c0ddc", "version_id": "5c3d60a0-82bd-48c7-baea-a688172fd2b1", "key": "10.1103/PhysRevD.99.066006.pdf", "size": 1343314 }, { "checksum": "md5:095f192b2843a0b767910443797f68b8", "filetype": "xml", "bucket": "d43edb90-2d90-41de-9839-3a00004c0ddc", "version_id": "f6702410-8a80-4419-b8b8-66663bb8871b", "key": "10.1103/PhysRevD.99.066006.xml", "size": 106712 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "1812.11185" } ], "abstracts": [ { "source": "APS", "value": "We investigate the asymptotically large loop-momentum behavior of multiloop amplitudes in maximally supersymmetric (<math><mrow><mi>N</mi><mo>=</mo><mn>4</mn></mrow></math>, 8) quantum field theories in four dimensions. We check residue-theorem identities among color-dressed leading singularities in <math><mi>N</mi><mo>=</mo><mn>4</mn></math> supersymmetric Yang-Mills theory to demonstrate the absence of poles at infinity of all <math><mi>n</mi></math>-point MHV amplitudes through three loops. Considering the same test for <math><mi>N</mi><mo>=</mo><mn>8</mn></math> supergravity leads us to discover that this theory does support nonvanishing residues at infinity starting at two loops, and the degree of these poles grow arbitrarily with multiplicity. This causes a tension between simultaneously manifesting ultraviolet finiteness\u2014which would be automatic at two loops for representation obtained by color-kinematic duality\u2014and gauge invariance\u2014which would follow from unitarity-based methods." } ], "imprints": [ { "date": "2019-03-15", "publisher": "APS" } ] }