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Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I

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arxiv 2106.05291 v3 pith:QCP7YTLF submitted 2021-06-09 hep-ph

Mikael Chala , Guilherme Guedes , Maria Ramos , Jose Santiago This is my paper · ORCID
classification hep-ph
keywords interactionsmodelrenormalisationstandardbosoniceffectiveelectroweakhiggs
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abstract

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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Positivity in the Renormalization of Effective Field Theory

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