We present for the first time Next-to-Leading (NLO) QCD renormalization group (RG) evolution matrices for nonleptonic transitions in the Standard Model effective field theory (SMEFT). To this end we transform first the known two-loop QCD anomalous dimension matrices (ADMs) of the BSM (Beyond the SM) operators in the so-called Buras Misiak Urban basis into the ones in the common weak effective theory (WET) basis (the so-called Jenkins Manohar Stoffer basis) for which tree-level and one-loop matching to the SMEFT are already known. This subsequently allows us to find the two-loop QCD ADMs for the SMEFT nonleptonic operators in the Warsaw basis. Having all these ingredients we investigate the impact of these NLO QCD effects on the QCD RG evolution of SMEFT Wilson coefficients for nonleptonic transitions from the new physics scale down to the electroweak scale . The main benefit of these new contributions is that they allow one to remove renormalization scheme dependences present in the one-loop matchings both between the WET and SMEFT and also between SMEFT and a chosen UV completion. But the Next-to-Leading (NLO) QCD effects, calculated here in the Naive dimensional regularisation minimal subtraction scheme, turn out to be small, in the ballpark of a few percent but larger than one-loop Yukawa top effects when only the operators are considered. The more complicated class of nonleptonic decays will be presented soon in another publication.
{ "_oai": { "updated": "2022-08-02T00:30:13Z", "id": "oai:repo.scoap3.org:71675", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Jason Aebischer", "affiliations": [ { "country": "Switzerland", "value": "Physik-Institut, Universit\u00e4t Z\u00fcrich, CH-8057 Z\u00fcrich, Switzerland" } ], "surname": "Aebischer", "given_names": "Jason", "full_name": "Aebischer, Jason" }, { "raw_name": "Andrzej J. Buras", "affiliations": [ { "country": "Germany", "value": "TUM Institute for Advanced Study, Lichtenbergstrasse 2a, D-85747 Garching, Germany" } ], "surname": "Buras", "given_names": "Andrzej J.", "full_name": "Buras, Andrzej J." }, { "raw_name": "Jacky Kumar", "affiliations": [ { "country": "Germany", "value": "TUM Institute for Advanced Study, Lichtenbergstrasse 2a, D-85747 Garching, Germany" } ], "surname": "Kumar", "given_names": "Jacky", "full_name": "Kumar, Jacky" } ], "titles": [ { "source": "APS", "title": "NLO QCD renormalization group evolution for nonleptonic <math><mi>\u0394</mi><mi>F</mi><mo>=</mo><mn>2</mn></math> transitions in the SMEFT" } ], "dois": [ { "value": "10.1103/PhysRevD.106.035003" } ], "publication_info": [ { "journal_volume": "106", "journal_title": "Physical Review D", "material": "article", "journal_issue": "3", "year": 2022 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-08-02T00:30:08.888979", "source": "APS", "method": "APS", "submission_number": "3e33f32211fa11eda1a1661ec451a4e4" }, "page_nr": [ 10 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2022" } ], "control_number": "71675", "record_creation_date": "2022-08-01T14:30:04.047357", "_files": [ { "checksum": "md5:8be5637dfd75806bd73f652a54098997", "filetype": "pdf", "bucket": "ccd50f90-1221-4fea-8702-85607f91bd5a", "version_id": "cfca353b-efaf-4283-b7e3-743a1985184c", "key": "10.1103/PhysRevD.106.035003.pdf", "size": 201508 }, { "checksum": "md5:de8aebde772fbe3d8b6e3589cdc0da3c", "filetype": "xml", "bucket": "ccd50f90-1221-4fea-8702-85607f91bd5a", "version_id": "ad3d0613-af82-4df7-a566-043e04ba4c63", "key": "10.1103/PhysRevD.106.035003.xml", "size": 218753 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "value": "2203.11224" } ], "abstracts": [ { "source": "APS", "value": "We present for the first time Next-to-Leading (NLO) QCD renormalization group (RG) evolution matrices for nonleptonic <math><mi>\u0394</mi><mi>F</mi><mo>=</mo><mn>2</mn></math> transitions in the Standard Model effective field theory (SMEFT). To this end we transform first the known two-loop QCD anomalous dimension matrices (ADMs) of the BSM (Beyond the SM) operators in the so-called Buras Misiak Urban basis into the ones in the common weak effective theory (WET) basis (the so-called Jenkins Manohar Stoffer basis) for which tree-level and one-loop matching to the SMEFT are already known. This subsequently allows us to find the two-loop QCD ADMs for the SMEFT nonleptonic <math><mi>\u0394</mi><mi>F</mi><mo>=</mo><mn>2</mn></math> operators in the Warsaw basis. Having all these ingredients we investigate the impact of these NLO QCD effects on the QCD RG evolution of SMEFT Wilson coefficients for nonleptonic <math><mi>\u0394</mi><mi>F</mi><mo>=</mo><mn>2</mn></math> transitions from the new physics scale <math><mi>\u039b</mi></math> down to the electroweak scale <math><msub><mi>\u03bc</mi><mi>ew</mi></msub></math>. The main benefit of these new contributions is that they allow one to remove renormalization scheme dependences present in the one-loop matchings both between the WET and SMEFT and also between SMEFT and a chosen UV completion. But the Next-to-Leading (NLO) QCD effects, calculated here in the Naive dimensional regularisation minimal subtraction scheme, turn out to be small, in the ballpark of a few percent but larger than one-loop Yukawa top effects when only the <math><mi>\u0394</mi><mi>F</mi><mo>=</mo><mn>2</mn></math> operators are considered. The more complicated class of nonleptonic <math><mi>\u0394</mi><mi>F</mi><mo>=</mo><mn>1</mn></math> decays will be presented soon in another publication." } ], "imprints": [ { "date": "2022-08-01", "publisher": "APS" } ] }