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

by Mikael Chala, Guilherme Guedes, Maria Ramos, Jose Santiago

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Submission summary

Authors (as registered SciPost users): Maria Ramos · Jose Santiago
Submission information
Preprint Link:  (pdf)
Date accepted: 2021-09-15
Date submitted: 2021-09-07 13:50
Submitted by: Ramos, Maria
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Phenomenology


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.

Published as SciPost Phys. 11, 065 (2021)

Submission & Refereeing History

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Resubmission 2106.05291v2 on 7 September 2021

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