A Green’s basis for the bosonic SMEFT to dimension 8
Abstract We present a basis of dimension-eight Green’s functions involving Standard Model (SM) bosonic fields, consisting of 86 new operators. Rather than using algebraic identities and integration by parts, we prove the independence of these interactions in momentum space, including discussion on e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2022)138 |
| _version_ | 1818211735162585088 |
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| author | Mikael Chala Álvaro Díaz-Carmona Guilherme Guedes |
| author_facet | Mikael Chala Álvaro Díaz-Carmona Guilherme Guedes |
| author_sort | Mikael Chala |
| collection | DOAJ |
| description | Abstract We present a basis of dimension-eight Green’s functions involving Standard Model (SM) bosonic fields, consisting of 86 new operators. Rather than using algebraic identities and integration by parts, we prove the independence of these interactions in momentum space, including discussion on evanescent bosonic operators. Our results pave the way for renormalising the SM effective field theory (SMEFT), as well as for performing matching of ultraviolet models onto the SMEFT, to higher order. To demonstrate the potential of our construction, we have implemented our basis in matchmakereft and used it to integrate out a heavy singlet scalar and a heavy quadruplet scalar up to one loop. We provide the corresponding dimension-eight Wilson coefficients. Likewise, we show how our results can be easily used to simplify cumbersome redundant Lagrangians arising, for example, from integrating out heavy fields using the path-integral approach to matching. |
| first_indexed | 2024-12-12T05:37:13Z |
| format | Article |
| id | doaj.art-fcda2792da0f499cb141062ee6d5b95f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T05:37:13Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fcda2792da0f499cb141062ee6d5b95f2022-12-22T00:36:06ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022512710.1007/JHEP05(2022)138A Green’s basis for the bosonic SMEFT to dimension 8Mikael Chala0Álvaro Díaz-Carmona1Guilherme Guedes2CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de GranadaCAFPE and Departamento de Física Teórica y del Cosmos, Universidad de GranadaCAFPE and Departamento de Física Teórica y del Cosmos, Universidad de GranadaAbstract We present a basis of dimension-eight Green’s functions involving Standard Model (SM) bosonic fields, consisting of 86 new operators. Rather than using algebraic identities and integration by parts, we prove the independence of these interactions in momentum space, including discussion on evanescent bosonic operators. Our results pave the way for renormalising the SM effective field theory (SMEFT), as well as for performing matching of ultraviolet models onto the SMEFT, to higher order. To demonstrate the potential of our construction, we have implemented our basis in matchmakereft and used it to integrate out a heavy singlet scalar and a heavy quadruplet scalar up to one loop. We provide the corresponding dimension-eight Wilson coefficients. Likewise, we show how our results can be easily used to simplify cumbersome redundant Lagrangians arising, for example, from integrating out heavy fields using the path-integral approach to matching.https://doi.org/10.1007/JHEP05(2022)138Effective Field TheoriesSMEFTSpecific BSM Phenomenology |
| spellingShingle | Mikael Chala Álvaro Díaz-Carmona Guilherme Guedes A Green’s basis for the bosonic SMEFT to dimension 8 Journal of High Energy Physics Effective Field Theories SMEFT Specific BSM Phenomenology |
| title | A Green’s basis for the bosonic SMEFT to dimension 8 |
| title_full | A Green’s basis for the bosonic SMEFT to dimension 8 |
| title_fullStr | A Green’s basis for the bosonic SMEFT to dimension 8 |
| title_full_unstemmed | A Green’s basis for the bosonic SMEFT to dimension 8 |
| title_short | A Green’s basis for the bosonic SMEFT to dimension 8 |
| title_sort | green s basis for the bosonic smeft to dimension 8 |
| topic | Effective Field Theories SMEFT Specific BSM Phenomenology |
| url | https://doi.org/10.1007/JHEP05(2022)138 |
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