Standard Model EFTs via on-shell methods
Abstract We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from few basics assumptions such as Poincaré invariance and locality, we classify all the renormalisable and non-renormalisable interactions at lowest order in the couplings. From these b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2021)221 |
| _version_ | 1818401477201231872 |
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| author | Manuel Accettulli Huber Stefano De Angelis |
| author_facet | Manuel Accettulli Huber Stefano De Angelis |
| author_sort | Manuel Accettulli Huber |
| collection | DOAJ |
| description | Abstract We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from few basics assumptions such as Poincaré invariance and locality, we classify all the renormalisable and non-renormalisable interactions at lowest order in the couplings. From these building blocks, we review how locality and unitarity enforce Lie algebra structures to appear in the S-matrix elements together with relations among couplings (and hypercharges). Furthermore, we give a fully on-shell algorithm to compute any higher-point tree-level amplitude (or form factor) in generic EFTs, bypassing BCFW-like recursion relations which are known to be problematic when non-renormalisable interactions are involved. Finally, using known amplitudes techniques we compute the mixing matrix of SMEFT marginal interactions up to mass dimension 8, to linear order in the effective interactions. |
| first_indexed | 2024-12-14T07:53:05Z |
| format | Article |
| id | doaj.art-97fc00be3a0a4733a05f2a0a5d161dec |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T07:53:05Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-97fc00be3a0a4733a05f2a0a5d161dec2022-12-21T23:10:39ZengSpringerOpenJournal of High Energy Physics1029-84792021-11-0120211115510.1007/JHEP11(2021)221Standard Model EFTs via on-shell methodsManuel Accettulli Huber0Stefano De Angelis1Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonAbstract We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from few basics assumptions such as Poincaré invariance and locality, we classify all the renormalisable and non-renormalisable interactions at lowest order in the couplings. From these building blocks, we review how locality and unitarity enforce Lie algebra structures to appear in the S-matrix elements together with relations among couplings (and hypercharges). Furthermore, we give a fully on-shell algorithm to compute any higher-point tree-level amplitude (or form factor) in generic EFTs, bypassing BCFW-like recursion relations which are known to be problematic when non-renormalisable interactions are involved. Finally, using known amplitudes techniques we compute the mixing matrix of SMEFT marginal interactions up to mass dimension 8, to linear order in the effective interactions.https://doi.org/10.1007/JHEP11(2021)221Scattering AmplitudesEffective Field TheoriesBeyond Standard ModelRenormalization Group |
| spellingShingle | Manuel Accettulli Huber Stefano De Angelis Standard Model EFTs via on-shell methods Journal of High Energy Physics Scattering Amplitudes Effective Field Theories Beyond Standard Model Renormalization Group |
| title | Standard Model EFTs via on-shell methods |
| title_full | Standard Model EFTs via on-shell methods |
| title_fullStr | Standard Model EFTs via on-shell methods |
| title_full_unstemmed | Standard Model EFTs via on-shell methods |
| title_short | Standard Model EFTs via on-shell methods |
| title_sort | standard model efts via on shell methods |
| topic | Scattering Amplitudes Effective Field Theories Beyond Standard Model Renormalization Group |
| url | https://doi.org/10.1007/JHEP11(2021)221 |
| work_keys_str_mv | AT manuelaccettullihuber standardmodeleftsviaonshellmethods AT stefanodeangelis standardmodeleftsviaonshellmethods |