Off-shell renormalization in Higgs effective field theories
Abstract The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential ∼Φ†Φ−υ22N $$ \sim {\left({\Phi}^{\dagger}\Phi -\frac{\upupsilon^2}{2}\right)}^N $$ with N arbitrary is presented. This is achieved by renormalizing the theory once reformulated in terms of...
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Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)050 |
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doaj-ed4ab878f3fc4dee91edc46145da295f2020-11-25T01:10:28ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018412910.1007/JHEP04(2018)050Off-shell renormalization in Higgs effective field theoriesDaniele Binosi0Andrea Quadri1European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Villa TambosiDip. di Fisica, Università degli Studi di Milano and INFN, Sezione di MilanoAbstract The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential ∼Φ†Φ−υ22N $$ \sim {\left({\Phi}^{\dagger}\Phi -\frac{\upupsilon^2}{2}\right)}^N $$ with N arbitrary is presented. This is achieved by renormalizing the theory once reformulated in terms of two auxiliary fields X 1,2, which, due to the invariance under an extended Becchi-Rouet-Stora-Tyutin symmetry, are tightly constrained by functional identities. The latter allow in turn the explicit derivation of the mapping onto the original theory, through which the (divergent) multi-Higgs amplitude are generated in a purely algebraic fashion. We show that, contrary to naive expectations based on the loss of power counting renormalizability, the Higgs field undergoes a linear Standard Model like redefinition, and evaluate the renormalization of the complete set of Higgs self-coupling in the N → ∞ case.http://link.springer.com/article/10.1007/JHEP04(2018)050Beyond Standard ModelBRST QuantizationEffective Field Theories |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Daniele Binosi Andrea Quadri |
spellingShingle |
Daniele Binosi Andrea Quadri Off-shell renormalization in Higgs effective field theories Journal of High Energy Physics Beyond Standard Model BRST Quantization Effective Field Theories |
author_facet |
Daniele Binosi Andrea Quadri |
author_sort |
Daniele Binosi |
title |
Off-shell renormalization in Higgs effective field theories |
title_short |
Off-shell renormalization in Higgs effective field theories |
title_full |
Off-shell renormalization in Higgs effective field theories |
title_fullStr |
Off-shell renormalization in Higgs effective field theories |
title_full_unstemmed |
Off-shell renormalization in Higgs effective field theories |
title_sort |
off-shell renormalization in higgs effective field theories |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-04-01 |
description |
Abstract The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential ∼Φ†Φ−υ22N $$ \sim {\left({\Phi}^{\dagger}\Phi -\frac{\upupsilon^2}{2}\right)}^N $$ with N arbitrary is presented. This is achieved by renormalizing the theory once reformulated in terms of two auxiliary fields X 1,2, which, due to the invariance under an extended Becchi-Rouet-Stora-Tyutin symmetry, are tightly constrained by functional identities. The latter allow in turn the explicit derivation of the mapping onto the original theory, through which the (divergent) multi-Higgs amplitude are generated in a purely algebraic fashion. We show that, contrary to naive expectations based on the loss of power counting renormalizability, the Higgs field undergoes a linear Standard Model like redefinition, and evaluate the renormalization of the complete set of Higgs self-coupling in the N → ∞ case. |
topic |
Beyond Standard Model BRST Quantization Effective Field Theories |
url |
http://link.springer.com/article/10.1007/JHEP04(2018)050 |
work_keys_str_mv |
AT danielebinosi offshellrenormalizationinhiggseffectivefieldtheories AT andreaquadri offshellrenormalizationinhiggseffectivefieldtheories |
_version_ |
1725174562849554432 |