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...
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oai:doaj.org-article:97fc00be3a0a4733a05f2a0a5d161dec2021-12-05T12:25:01ZStandard Model EFTs via on-shell methods10.1007/JHEP11(2021)2211029-8479https://doaj.org/article/97fc00be3a0a4733a05f2a0a5d161dec2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)221https://doaj.org/toc/1029-8479Abstract 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.Manuel Accettulli HuberStefano De AngelisSpringerOpenarticleScattering AmplitudesEffective Field TheoriesBeyond Standard ModelRenormalization GroupNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-55 (2021) |
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Scattering Amplitudes Effective Field Theories Beyond Standard Model Renormalization Group Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Scattering Amplitudes Effective Field Theories Beyond Standard Model Renormalization Group Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Manuel Accettulli Huber Stefano De Angelis Standard Model EFTs via on-shell methods |
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. |
format |
article |
author |
Manuel Accettulli Huber Stefano De Angelis |
author_facet |
Manuel Accettulli Huber Stefano De Angelis |
author_sort |
Manuel Accettulli Huber |
title |
Standard Model EFTs via on-shell methods |
title_short |
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_sort |
standard model efts via on-shell methods |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/97fc00be3a0a4733a05f2a0a5d161dec |
work_keys_str_mv |
AT manuelaccettullihuber standardmodeleftsviaonshellmethods AT stefanodeangelis standardmodeleftsviaonshellmethods |
_version_ |
1718371972647223296 |