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

Chala, Mikael; Guedes, Guilherme; Ramos, Maria; Santiago, José

doi:10.21468/SciPostPhys.11.3.065

SciPost Physics

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

Mikael Chala, Guilherme Guedes, Maria Ramos, Jose Santiago

SciPost Phys. 11, 065 (2021) · published 21 September 2021

doi: 10.21468/SciPostPhys.11.3.065
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.3.065
TI  - Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
PY  - 2021/09/21
UR  - https://www.scipost.org/SciPostPhys.11.3.065
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 3
SP  - 065
A1  - Chala, Mikael
AU  - Guedes, Guilherme
AU  - Ramos, Maria
AU  - Santiago, José
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.3.065,
	title={{Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I}},
	author={Mikael Chala and Guilherme Guedes and Maria Ramos and Jose Santiago},
	journal={SciPost Phys.},
	volume={11},
	pages={065},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.3.065},
	url={https://scipost.org/10.21468/SciPostPhys.11.3.065},
}

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Authors / Affiliations: mappings to Contributors and Organizations

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¹ Mikael Chala,
¹ ² Guilherme Guedes,
¹ ² Maria Ramos,
¹ José Santiago

Funders for the research work leading to this publication

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía (through Organization: Consejería de Economía Innovación Ciencia y Empleo)
European Commission [EC]
Fundação para a Ciência e a Tecnologia (through Organization: Fundação para a Ciência e Tecnologia [FCT])
Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])