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NLO QCD renormalization group evolution for nonleptonic ΔF=2 transitions in the SMEFT


Aebischer, Jason; Buras, Andrzej J; Kumar, Jacky (2022). NLO QCD renormalization group evolution for nonleptonic ΔF=2 transitions in the SMEFT. Physical review D, 106(3):035003.

Abstract

We present for the first time Next-to-Leading (NLO) QCD renormalization group (RG) evolution matrices for nonleptonic ΔF=2 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 ΔF=2 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 ΔF=2 transitions from the new physics scale Λ down to the electroweak scale μew. 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 ΔF=2 operators are considered. The more complicated class of nonleptonic ΔF=1 decays will be presented soon in another publication.

Abstract

We present for the first time Next-to-Leading (NLO) QCD renormalization group (RG) evolution matrices for nonleptonic ΔF=2 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 ΔF=2 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 ΔF=2 transitions from the new physics scale Λ down to the electroweak scale μew. 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 ΔF=2 operators are considered. The more complicated class of nonleptonic ΔF=1 decays will be presented soon in another publication.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Language:English
Date:1 August 2022
Deposited On:03 Nov 2022 15:53
Last Modified:27 Jun 2024 01:40
Publisher:American Physical Society
ISSN:2470-0010
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1103/physrevd.106.035003
Project Information:
  • : FunderH2020 European Research Council
  • : Grant ID
  • : Project Title
  • : FunderH2020
  • : Grant ID833280
  • : Project TitleFLAY - Flavor Anomalies and the origin of the Yukawa couplings
  • : FunderAlexander von Humboldt-Stiftung
  • : Grant ID
  • : Project Title
  • Content: Published Version
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)