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Theoretical uncertainties for cosmological first-order phase transitions

Croon, Djuna; Gould, Oliver; Schicho, Philipp; Tenkanen, Tuomas V.I.; White, Graham

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Djuna Croon

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Dorothy Hodgkin Fellow

Philipp Schicho

Tuomas V.I. Tenkanen

Graham White


We critically examine the magnitude of theoretical uncertainties in perturbative calculations of fist-order phase transitions, using the Standard Model effective field theory as our guide. In the usual daisy-resummed approach, we find large uncertainties due to renormalisation scale dependence, which amount to two to three orders-of-magnitude uncertainty in the peak gravitational wave amplitude, relevant to experiments such as LISA. Alternatively, utilising dimensional reduction in a more sophisticated perturbative approach drastically reduces this scale dependence, pushing it to higher orders. Further, this approach resolves other thorny problems with daisy resummation: it is gauge invariant which is explicitly demonstrated for the Standard Model, and avoids an uncontrolled derivative expansion in the bubble nucleation rate.


Croon, D., Gould, O., Schicho, P., Tenkanen, T. V., & White, G. (2021). Theoretical uncertainties for cosmological first-order phase transitions. Journal of High Energy Physics, 2021(4), Article 55.

Journal Article Type Article
Acceptance Date Feb 28, 2021
Online Publication Date Apr 7, 2021
Publication Date 2021-04
Deposit Date Jan 6, 2023
Publicly Available Date Jan 12, 2023
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2021
Issue 4
Article Number 55
Public URL
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