We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory (SMEFT) by the Lepton Number Violating operators (LNVs) at 1-loop order up to $$ \mathcal{O} $$ (v 4 /Λ4), with v ∼ 246 GeV as the electroweak scale and Λ as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of ϕ 4 D 4 class, we derive sign constraints on the Wilson coefficients of LNV operators, for models where ϕ 4 D 4 operators do not appear at tree-level. We inspect these constraints for the LNV Wilson coefficients generated from matching the Type-I and III seesaw models to SMEFT up to dimension seven at tree-level. We also exhibit the unique bounds induced by the T-parameter on LNVs.
{ "_oai": { "updated": "2023-09-24T00:35:43Z", "id": "oai:repo.scoap3.org:78474", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Spain", "value": "CAFPE and Departamento de F\u00edsica Te\u00f3rica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain", "organization": "Universidad de Granada" } ], "surname": "Bakshi", "email": "sdb@ugr.es", "full_name": "Bakshi, Supratim", "given_names": "Supratim" }, { "affiliations": [ { "country": "Spain", "value": "CAFPE and Departamento de F\u00edsica Te\u00f3rica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain", "organization": "Universidad de Granada" } ], "surname": "D\u00edaz-Carmona", "email": "aldiaz@ugr.es", "full_name": "D\u00edaz-Carmona, \u00c1lvaro", "given_names": "\u00c1lvaro" } ], "titles": [ { "source": "Springer", "title": "Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators" } ], "dois": [ { "value": "10.1007/JHEP06(2023)123" } ], "publication_info": [ { "page_end": "27", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP06(2023)123", "year": 2023, "page_start": "1", "journal_issue": "6" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-09-24T00:32:20.204902", "source": "Springer", "method": "Springer", "submission_number": "7ecceed25a7111ee9688729695cabdc8" }, "page_nr": [ 27 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "78474", "record_creation_date": "2023-06-22T06:30:23.753792", "_files": [ { "checksum": "md5:d42d393a1dd9c07d88d783f4de5d39fd", "filetype": "xml", "bucket": "db36470f-8d2f-4708-9fdc-867391355e31", "version_id": "62e651bb-51a3-4189-99f3-e2991a2dd7e0", "key": "10.1007/JHEP06(2023)123.xml", "size": 11466 }, { "checksum": "md5:f21f258cb482e7988d24fcb1f543cfd8", "filetype": "pdf/a", "bucket": "db36470f-8d2f-4708-9fdc-867391355e31", "version_id": "86cfa25c-bf53-4b1e-b92a-979c0e8bf0f8", "key": "10.1007/JHEP06(2023)123_a.pdf", "size": 546226 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-th" ], "value": "2301.07151" } ], "abstracts": [ { "source": "Springer", "value": "We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory (SMEFT) by the Lepton Number Violating operators (LNVs) at 1-loop order up to <math> <mi>O</mi> </math> $$ \\mathcal{O} $$ (v 4 /\u039b4), with v \u223c 246 GeV as the electroweak scale and \u039b as the SMEFT cut-off. Using these relations with the positivity bounds on Wilson coefficients of \u03d5 4 D 4 class, we derive sign constraints on the Wilson coefficients of LNV operators, for models where \u03d5 4 D 4 operators do not appear at tree-level. We inspect these constraints for the LNV Wilson coefficients generated from matching the Type-I and III seesaw models to SMEFT up to dimension seven at tree-level. We also exhibit the unique bounds induced by the T-parameter on LNVs." } ], "imprints": [ { "date": "2023-06-21", "publisher": "Springer" } ] }