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Simple rules for evanescent operators in one-loop basis transformations


Aebischer, Jason; Buras, Andrzej J; Kumar, Jacky (2023). Simple rules for evanescent operators in one-loop basis transformations. Physical review D, 107(7):075007.

Abstract

Basis transformations often involve Fierz and other relations that are only valid in D=4 dimensions. In general D spacetime dimensions, however, evanescent operators have to be introduced in order to preserve such identities. Such evanescent operators contribute to one-loop basis transformations as well as to two-loop renormalization group running. We present a simple procedure on how to systematically change basis at the one-loop level by obtaining shifts due to evanescent operators. As an example we apply this method to derive the one-loop basis transformation from the Buras, Misiak and Urban basis useful for next-to-leading order QCD calculations, to the Jenkins, Manohar and Stoffer basis used in the matching to the standard model effective theory.

Abstract

Basis transformations often involve Fierz and other relations that are only valid in D=4 dimensions. In general D spacetime dimensions, however, evanescent operators have to be introduced in order to preserve such identities. Such evanescent operators contribute to one-loop basis transformations as well as to two-loop renormalization group running. We present a simple procedure on how to systematically change basis at the one-loop level by obtaining shifts due to evanescent operators. As an example we apply this method to derive the one-loop basis transformation from the Buras, Misiak and Urban basis useful for next-to-leading order QCD calculations, to the Jenkins, Manohar and Stoffer basis used in the matching to the standard model effective theory.

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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:11 April 2023
Deposited On:11 Jan 2024 13:44
Last Modified:28 Jun 2024 03:37
Publisher:American Physical Society
ISSN:2470-0010
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1103/physrevd.107.075007
Project Information:
  • : FunderH2020
  • : Grant ID733280
  • : Project TitleRECAP preterm - RECAP preterm: Research on European Children and Adults born Preterm
  • : FunderAlexander von Humboldt-Stiftung
  • : Grant ID
  • : Project Title
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)