Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
We compute the one-loop renormalisation group running of the bosonic Standard Model effective operators to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics threshold. We concentrate on the effects triggered by pairs of the leading dimen...
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doaj-e8b0037a6b6d4a7c92457c616082cd732021-09-21T10:57:37ZengSciPostSciPost Physics2542-46532021-09-0111306510.21468/SciPostPhys.11.3.065Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions IMikael Chala, Guilherme Guedes, Maria Ramos, Jose SantiagoWe compute the one-loop renormalisation group running of the bosonic Standard Model effective operators to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics threshold. We concentrate on the effects triggered by pairs of the leading dimension-six interactions, namely those that can arise at tree level in weakly-coupled ultraviolet completions of the Standard Model. We highlight some interesting consequences, including the interplay between positivity bounds and the form of the anomalous dimensions; the non renormalisation of the $S$ and $U$ parameters; or the importance of radiative corrections to the Higgs potential for the electroweak phase transition. As a byproduct of this work, we provide a complete Green basis of operators involving only the Higgs and derivatives at dimension-eight, comprising 13 redundant interactions.https://scipost.org/SciPostPhys.11.3.065 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mikael Chala, Guilherme Guedes, Maria Ramos, Jose Santiago |
spellingShingle |
Mikael Chala, Guilherme Guedes, Maria Ramos, Jose Santiago Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I SciPost Physics |
author_facet |
Mikael Chala, Guilherme Guedes, Maria Ramos, Jose Santiago |
author_sort |
Mikael Chala, Guilherme Guedes, Maria Ramos, Jose Santiago |
title |
Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I |
title_short |
Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I |
title_full |
Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I |
title_fullStr |
Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I |
title_full_unstemmed |
Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I |
title_sort |
towards the renormalisation of the standard model effective field theory to dimension eight: bosonic interactions i |
publisher |
SciPost |
series |
SciPost Physics |
issn |
2542-4653 |
publishDate |
2021-09-01 |
description |
We compute the one-loop renormalisation group running of the bosonic Standard
Model effective operators to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being
the electroweak scale and $\Lambda$ the unknown new physics threshold. We
concentrate on the effects triggered by pairs of the leading dimension-six
interactions, namely those that can arise at tree level in weakly-coupled
ultraviolet completions of the Standard Model. We highlight some interesting
consequences, including the interplay between positivity bounds and the form of
the anomalous dimensions; the non renormalisation of the $S$ and $U$
parameters; or the importance of radiative corrections to the Higgs potential
for the electroweak phase transition. As a byproduct of this work, we provide a
complete Green basis of operators involving only the Higgs and derivatives at
dimension-eight, comprising 13 redundant interactions. |
url |
https://scipost.org/SciPostPhys.11.3.065 |
work_keys_str_mv |
AT mikaelchalaguilhermeguedesmariaramosjosesantiago towardstherenormalisationofthestandardmodeleffectivefieldtheorytodimensioneightbosonicinteractionsi |
_version_ |
1717373670760906752 |