Renormalization scheme factorization of one-loop Fierz identities
Abstract We present a proof of the factorization of renormalization scheme in one-loop-corrected Fierz identities. This scheme factorization facilitates the simultaneous transformation of operator basis and renormalization scheme using only relations between physical operators; the evanescent operat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)060 |
| _version_ | 1797355971398336512 |
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| author | Jason Aebischer Marko Pesut Zachary Polonsky |
| author_facet | Jason Aebischer Marko Pesut Zachary Polonsky |
| author_sort | Jason Aebischer |
| collection | DOAJ |
| description | Abstract We present a proof of the factorization of renormalization scheme in one-loop-corrected Fierz identities. This scheme factorization facilitates the simultaneous transformation of operator basis and renormalization scheme using only relations between physical operators; the evanescent operators in the respective bases may be chosen entirely independently of each other. The relations between evanescent operators in the two bases is automatically accounted for by the corrected Fierz identities. We illustrate the utility of this result with a two-loop anomalous dimension matrix computation using the Naive-Dimensional Regularization scheme, which is then transformed via one-loop Fierz identities to the known result in the literature given in a different basis and calculated in the Larin scheme. Additionally, we reproduce results from the literature of basis transformations involving the rotation of evanescent operators into the physical basis using our method, without the need to explicitly compute one-loop matrix elements of evanescent operators. |
| first_indexed | 2024-03-08T14:19:54Z |
| format | Article |
| id | doaj.art-2903eb9493934ca899ea56d60d3ab88a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T14:19:54Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2903eb9493934ca899ea56d60d3ab88a2024-01-14T12:06:40ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024112410.1007/JHEP01(2024)060Renormalization scheme factorization of one-loop Fierz identitiesJason Aebischer0Marko Pesut1Zachary Polonsky2Physik-Institut, Universität ZürichPhysik-Institut, Universität ZürichPhysik-Institut, Universität ZürichAbstract We present a proof of the factorization of renormalization scheme in one-loop-corrected Fierz identities. This scheme factorization facilitates the simultaneous transformation of operator basis and renormalization scheme using only relations between physical operators; the evanescent operators in the respective bases may be chosen entirely independently of each other. The relations between evanescent operators in the two bases is automatically accounted for by the corrected Fierz identities. We illustrate the utility of this result with a two-loop anomalous dimension matrix computation using the Naive-Dimensional Regularization scheme, which is then transformed via one-loop Fierz identities to the known result in the literature given in a different basis and calculated in the Larin scheme. Additionally, we reproduce results from the literature of basis transformations involving the rotation of evanescent operators into the physical basis using our method, without the need to explicitly compute one-loop matrix elements of evanescent operators.https://doi.org/10.1007/JHEP01(2024)060Effective Field TheoriesOther Weak Scale BSM ModelsRenormalization Group |
| spellingShingle | Jason Aebischer Marko Pesut Zachary Polonsky Renormalization scheme factorization of one-loop Fierz identities Journal of High Energy Physics Effective Field Theories Other Weak Scale BSM Models Renormalization Group |
| title | Renormalization scheme factorization of one-loop Fierz identities |
| title_full | Renormalization scheme factorization of one-loop Fierz identities |
| title_fullStr | Renormalization scheme factorization of one-loop Fierz identities |
| title_full_unstemmed | Renormalization scheme factorization of one-loop Fierz identities |
| title_short | Renormalization scheme factorization of one-loop Fierz identities |
| title_sort | renormalization scheme factorization of one loop fierz identities |
| topic | Effective Field Theories Other Weak Scale BSM Models Renormalization Group |
| url | https://doi.org/10.1007/JHEP01(2024)060 |
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