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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 |
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| Preprint Link: | https://arxiv.org/abs/2106.05291v2 (pdf) |
| Date accepted: | 2021-09-15 |
| Date submitted: | 2021-09-07 13:50 |
| Submitted by: | Ramos, Maria |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
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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.
Published as SciPost Phys. 11, 065 (2021)