Revisiting renormalization group equations of the SMEFT dimension-seven operators
Abstract In this work, we revisit the renormalization group equations (RGEs) of dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) resulting from mixing among dim-7 operators themselves by means of the background field method. Adopting a recently proposed physical...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2024)133 |
| _version_ | 1827214388376895488 |
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| author | Di Zhang |
| author_facet | Di Zhang |
| author_sort | Di Zhang |
| collection | DOAJ |
| description | Abstract In this work, we revisit the renormalization group equations (RGEs) of dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) resulting from mixing among dim-7 operators themselves by means of the background field method. Adopting a recently proposed physical basis for dim-7 operators, we achieve the explicit RGEs of all non-redundant dim-7 operators in the SMEFT for the first time. Together with those originating from the dim-5 and dim-6 operators, these results constitute the complete RGEs of dim-7 operators, and hence can be exploited to study full RG-running effects on some lepton- or baryon-number-violating processes involving dim-7 operators in the SMEFT, such as neutrino masses, neutrinoless double beta decay, meson and nucleon decays. We perform an analysis of the structure and perturbative power counting of the obtained one-loop anomalous dimension matrix, which is consistent with a non-renormalization theorem and the naive dimension analysis. Additionally, a partial check on some results is carried out by means of different tools and quantum field gauges. |
| first_indexed | 2024-03-07T15:23:03Z |
| format | Article |
| id | doaj.art-926f83a9d97c434eb732d9c5b35217e6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:30:32Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-926f83a9d97c434eb732d9c5b35217e62024-06-23T11:08:30ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024213210.1007/JHEP02(2024)133Revisiting renormalization group equations of the SMEFT dimension-seven operatorsDi Zhang0Physik-Department, Technische Universität MünchenAbstract In this work, we revisit the renormalization group equations (RGEs) of dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) resulting from mixing among dim-7 operators themselves by means of the background field method. Adopting a recently proposed physical basis for dim-7 operators, we achieve the explicit RGEs of all non-redundant dim-7 operators in the SMEFT for the first time. Together with those originating from the dim-5 and dim-6 operators, these results constitute the complete RGEs of dim-7 operators, and hence can be exploited to study full RG-running effects on some lepton- or baryon-number-violating processes involving dim-7 operators in the SMEFT, such as neutrino masses, neutrinoless double beta decay, meson and nucleon decays. We perform an analysis of the structure and perturbative power counting of the obtained one-loop anomalous dimension matrix, which is consistent with a non-renormalization theorem and the naive dimension analysis. Additionally, a partial check on some results is carried out by means of different tools and quantum field gauges.https://doi.org/10.1007/JHEP02(2024)133Effective Field TheoriesRenormalization GroupSMEFT |
| spellingShingle | Di Zhang Revisiting renormalization group equations of the SMEFT dimension-seven operators Journal of High Energy Physics Effective Field Theories Renormalization Group SMEFT |
| title | Revisiting renormalization group equations of the SMEFT dimension-seven operators |
| title_full | Revisiting renormalization group equations of the SMEFT dimension-seven operators |
| title_fullStr | Revisiting renormalization group equations of the SMEFT dimension-seven operators |
| title_full_unstemmed | Revisiting renormalization group equations of the SMEFT dimension-seven operators |
| title_short | Revisiting renormalization group equations of the SMEFT dimension-seven operators |
| title_sort | revisiting renormalization group equations of the smeft dimension seven operators |
| topic | Effective Field Theories Renormalization Group SMEFT |
| url | https://doi.org/10.1007/JHEP02(2024)133 |
| work_keys_str_mv | AT dizhang revisitingrenormalizationgroupequationsofthesmeftdimensionsevenoperators |