We investigate precision observables sensitive to custodial-symmetric/-violating UV physics beyond the Standard Model. We use the Standard Model effective field theory (SMEFT) framework which in general includes nonoblique corrections that require a generalization of the Peskin-Takeuchi parameter to unambiguously detect custodial symmetry/violation. We take a first step towards constructing a SMEFT reparametrization-invariant replacement, which we call , valid at least for tree-level custodial-violating contributions. We utilize a new custodial basis of (SMEFT augmented by right-handed neutrinos) which explicitly identifies the global symmetries of the Higgs and fermion sectors, which in turn permits easy identification of higher-dimensional operators that are custodial preserving or violating. We carefully consider equation-of-motion redundancies that cause custodial-symmetric operators in one basis to be equivalent to a set of custodial-symmetric and/or -violating operators in another basis. Utilizing known results about tree/loop operator generation, we demonstrate that the basis-dependent appearance of custodial-violating operators does not invalidate our parameter at tree level. We illustrate our results with several UV theory examples, demonstrating that faithfully identifies custodial symmetry violation, while can fail.
{ "_oai": { "updated": "2022-04-05T09:39:56Z", "id": "oai:repo.scoap3.org:64480", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Graham D. Kribs", "affiliations": [ { "country": "USA", "value": "Institute for Fundamental Science and Department of Physics, University of Oregon, Eugene, Oregon 97403, USA" } ], "surname": "Kribs", "given_names": "Graham D.", "full_name": "Kribs, Graham D." }, { "raw_name": "Xiaochuan Lu", "affiliations": [ { "country": "USA", "value": "Institute for Fundamental Science and Department of Physics, University of Oregon, Eugene, Oregon 97403, USA" } ], "surname": "Lu", "given_names": "Xiaochuan", "full_name": "Lu, Xiaochuan" }, { "raw_name": "Adam Martin", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Notre Dame, South Bend, Indiana 46556 USA" } ], "surname": "Martin", "given_names": "Adam", "full_name": "Martin, Adam" }, { "raw_name": "Tom Tong", "affiliations": [ { "country": "USA", "value": "Institute for Fundamental Science and Department of Physics, University of Oregon, Eugene, Oregon 97403, USA" }, { "country": "USA", "value": "Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts Amherst, Amherst, Massachusetts 01003, USA" } ], "surname": "Tong", "given_names": "Tom", "full_name": "Tong, Tom" } ], "titles": [ { "source": "APS", "title": "Custodial symmetry violation in the SMEFT" } ], "dois": [ { "value": "10.1103/PhysRevD.104.056006" } ], "publication_info": [ { "journal_volume": "104", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2021 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-04-05T09:21:02.555023", "source": "APS", "method": "APS", "submission_number": "a0d20d20b4c111ec837fd6d834be26e1" }, "page_nr": [ 30 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2021" } ], "control_number": "64480", "record_creation_date": "2021-09-07T16:30:04.953741", "_files": [ { "checksum": "md5:34d4066f36fa11bdc3e210e40add2b20", "filetype": "pdf", "bucket": "22b50aee-7fa1-4bf9-8712-ffd74a0fedad", "version_id": "3e5f1016-0379-466a-beb2-74221e10b9e1", "key": "10.1103/PhysRevD.104.056006.pdf", "size": 525100 }, { "checksum": "md5:06098204eecd7c63ca702f8cc35be765", "filetype": "xml", "bucket": "22b50aee-7fa1-4bf9-8712-ffd74a0fedad", "version_id": "aff3d7f4-4d6e-4bb5-9a18-ce1033460ebd", "key": "10.1103/PhysRevD.104.056006.xml", "size": 937200 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph" ], "value": "2009.10725" } ], "abstracts": [ { "source": "APS", "value": "We investigate precision observables sensitive to custodial-symmetric/-violating UV physics beyond the Standard Model. We use the Standard Model effective field theory (SMEFT) framework which in general includes nonoblique corrections that require a generalization of the Peskin-Takeuchi <math><mi>T</mi></math> parameter to unambiguously detect custodial symmetry/violation. We take a first step towards constructing a SMEFT reparametrization-invariant replacement, which we call <math><mi>\ud835\udcaf</mi></math>, valid at least for tree-level custodial-violating contributions. We utilize a new custodial basis of <math><mrow><mi>\u03bd</mi><mi>SMEFT</mi></mrow></math> (SMEFT augmented by right-handed neutrinos) which explicitly identifies the global <math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><msub><mo>)</mo><mi>R</mi></msub></math> symmetries of the Higgs and fermion sectors, which in turn permits easy identification of higher-dimensional operators that are custodial preserving or violating. We carefully consider equation-of-motion redundancies that cause custodial-symmetric operators in one basis to be equivalent to a set of custodial-symmetric and/or -violating operators in another basis. Utilizing known results about tree/loop operator generation, we demonstrate that the basis-dependent appearance of custodial-violating operators does not invalidate our <math><mi>\ud835\udcaf</mi></math> parameter at tree level. We illustrate our results with several UV theory examples, demonstrating that <math><mi>\ud835\udcaf</mi></math> faithfully identifies custodial symmetry violation, while <math><mi>T</mi></math> can fail." } ], "imprints": [ { "date": "2021-09-07", "publisher": "APS" } ] }