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On-shell Higgsing for EFTs
We study the on-shell version of the Higgs mechanism in effective theories (EFTs) containing particles of different spins, focusing on contact terms as a simple starting point. We derive the massive contact terms and their coefficients from the massless amplitudes of the EFT above the symmetry break...
Autores principales: | , , , , |
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Lenguaje: | eng |
Publicado: |
2021
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Acceso en línea: | https://dx.doi.org/10.1007/JHEP03(2022)129 http://cds.cern.ch/record/2798579 |
_version_ | 1780972486486130688 |
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author | Balkin, Reuven Durieux, Gauthier Kitahara, Teppei Shadmi, Yael Weiss, Yaniv |
author_facet | Balkin, Reuven Durieux, Gauthier Kitahara, Teppei Shadmi, Yael Weiss, Yaniv |
author_sort | Balkin, Reuven |
collection | CERN |
description | We study the on-shell version of the Higgs mechanism in effective theories (EFTs) containing particles of different spins, focusing on contact terms as a simple starting point. We derive the massive contact terms and their coefficients from the massless amplitudes of the EFT above the symmetry breaking scale, by covariantizing the massless contact terms under the massive little group. In the little-group-covariant massive-spinor formalism, this notationally amounts to bolding spinor labels. Mass-suppressed contributions to the contact-term coefficients arise from higher-point contact terms with additional soft Higgs legs. We apply this procedure to obtain massive four-point amplitudes featuring scalars, spin 1/2 fermions and vectors, in the standard-model EFT. The subleading helicity-flipped components of each massive contact term, which are dictated by little-group covariance, are associated with the residues of factorizable massless amplitudes. Extra “frozen” Higgses emitted from each leg of a massless contact term supply the additional light-like momentum component, needed to form a massive leg of the same polarization. As another application, we derive various components of massive three-point amplitudes from massless amplitudes with up to three additional Higgses, in a standard-model-like toy model. |
id | cern-2798579 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2021 |
record_format | invenio |
spelling | cern-27985792023-08-10T09:58:38Zdoi:10.1007/JHEP03(2022)129http://cds.cern.ch/record/2798579engBalkin, ReuvenDurieux, GauthierKitahara, TeppeiShadmi, YaelWeiss, YanivOn-shell Higgsing for EFTshep-thParticle Physics - Theoryhep-phParticle Physics - PhenomenologyWe study the on-shell version of the Higgs mechanism in effective theories (EFTs) containing particles of different spins, focusing on contact terms as a simple starting point. We derive the massive contact terms and their coefficients from the massless amplitudes of the EFT above the symmetry breaking scale, by covariantizing the massless contact terms under the massive little group. In the little-group-covariant massive-spinor formalism, this notationally amounts to bolding spinor labels. Mass-suppressed contributions to the contact-term coefficients arise from higher-point contact terms with additional soft Higgs legs. We apply this procedure to obtain massive four-point amplitudes featuring scalars, spin 1/2 fermions and vectors, in the standard-model EFT. The subleading helicity-flipped components of each massive contact term, which are dictated by little-group covariance, are associated with the residues of factorizable massless amplitudes. Extra “frozen” Higgses emitted from each leg of a massless contact term supply the additional light-like momentum component, needed to form a massive leg of the same polarization. As another application, we derive various components of massive three-point amplitudes from massless amplitudes with up to three additional Higgses, in a standard-model-like toy model.We study the on-shell version of the Higgs mechanism in effective theories (EFTs) containing particles of different spins, focusing on contact terms as a simple starting point. We derive the massive contact terms and their coefficients from the massless amplitudes of the EFT above the symmetry breaking scale, by covariantizing the massless contact terms under the massive little group. In the little-group-covariant massive-spinor formalism, this notationally amounts to bolding spinor labels. Mass-suppressed contributions to the contact-term coefficients arise from higher-point contact terms with additional soft Higgs legs. We apply this procedure to obtain massive four-point amplitudes featuring scalars, spin 1/2 fermions and vectors, in the standard-model EFT. The subleading helicity-flipped components of each massive contact term, which are dictated by little-group covariance, are associated with the residues of factorizable massless amplitudes. Extra "frozen" Higgses emitted from each leg of a massless contact term supply the additional light-like momentum component, needed to form a massive leg of the same polarization. As another application, we derive various components of massive three-point amplitudes from massless amplitudes with up to three additional Higgses, in a standard-model-like toy model.arXiv:2112.09688CERN-TH-2021-212oai:cds.cern.ch:27985792021-12-17 |
spellingShingle | hep-th Particle Physics - Theory hep-ph Particle Physics - Phenomenology Balkin, Reuven Durieux, Gauthier Kitahara, Teppei Shadmi, Yael Weiss, Yaniv On-shell Higgsing for EFTs |
title | On-shell Higgsing for EFTs |
title_full | On-shell Higgsing for EFTs |
title_fullStr | On-shell Higgsing for EFTs |
title_full_unstemmed | On-shell Higgsing for EFTs |
title_short | On-shell Higgsing for EFTs |
title_sort | on-shell higgsing for efts |
topic | hep-th Particle Physics - Theory hep-ph Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1007/JHEP03(2022)129 http://cds.cern.ch/record/2798579 |
work_keys_str_mv | AT balkinreuven onshellhiggsingforefts AT durieuxgauthier onshellhiggsingforefts AT kitaharateppei onshellhiggsingforefts AT shadmiyael onshellhiggsingforefts AT weissyaniv onshellhiggsingforefts |