Renormalization Group evolution from on-shell SMEFT
Abstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)101 |
| _version_ | 1818614090434609152 |
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| author | Minyuan Jiang Teng Ma Jing Shu |
| author_facet | Minyuan Jiang Teng Ma Jing Shu |
| author_sort | Minyuan Jiang |
| collection | DOAJ |
| description | Abstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H 4 D 4 operators to the running of V + V − H 2 operators, as well as the running of B + B − H 2 D 2n from H 4 D 2n+4 for general n. |
| first_indexed | 2024-12-16T16:12:29Z |
| format | Article |
| id | doaj.art-c48c4087f95746d1b839478793bb0d50 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T16:12:29Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c48c4087f95746d1b839478793bb0d502022-12-21T22:25:11ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021112010.1007/JHEP01(2021)101Renormalization Group evolution from on-shell SMEFTMinyuan Jiang0Teng Ma1Jing Shu2CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesPhysics Department, Technion — Israel Institute of TechnologyCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H 4 D 4 operators to the running of V + V − H 2 operators, as well as the running of B + B − H 2 D 2n from H 4 D 2n+4 for general n.https://doi.org/10.1007/JHEP01(2021)101Effective Field TheoriesRenormalization GroupScattering Amplitudes |
| spellingShingle | Minyuan Jiang Teng Ma Jing Shu Renormalization Group evolution from on-shell SMEFT Journal of High Energy Physics Effective Field Theories Renormalization Group Scattering Amplitudes |
| title | Renormalization Group evolution from on-shell SMEFT |
| title_full | Renormalization Group evolution from on-shell SMEFT |
| title_fullStr | Renormalization Group evolution from on-shell SMEFT |
| title_full_unstemmed | Renormalization Group evolution from on-shell SMEFT |
| title_short | Renormalization Group evolution from on-shell SMEFT |
| title_sort | renormalization group evolution from on shell smeft |
| topic | Effective Field Theories Renormalization Group Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2021)101 |
| work_keys_str_mv | AT minyuanjiang renormalizationgroupevolutionfromonshellsmeft AT tengma renormalizationgroupevolutionfromonshellsmeft AT jingshu renormalizationgroupevolutionfromonshellsmeft |