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Perturbative gravitational wave predictions for the real-scalar extended Standard Model

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arxiv 2411.08951 v1 pith:XPRFKZ6I submitted 2024-11-13 hep-ph astro-ph.COhep-th

Perturbative gravitational wave predictions for the real-scalar extended Standard Model

classification hep-ph astro-ph.COhep-th
keywords gravitationalwavemodelpredictionsorderparameterperturbativeaccount
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform a state-of-the-art study of the cosmological phase transitions of the real-scalar extended Standard Model. We carry out a broad scan of the parameter space of this model at next-to-next-to-leading order in powers of couplings. We use effective field theory to account for the necessary higher-order resummations, and to construct consistent real and gauge-invariant gravitational wave predictions. Our results provide a comprehensive account of the convergence of perturbative predictions for the gravitational wave signals in this model. For the majority of the parameter points in our study, we observe apparent convergence. While leading and next-to-leading order predictions of the gravitational wave amplitude typically suffer from relative errors between $10$ and $10^4$, at next-to-next-to-leading order the typical relative errors are reduced to between $0.5$ and $50$. Nevertheless, for those parameter points predicting the largest signals, potentially observable by future gravitational wave observatories, the validity of the perturbative expansion is in doubt.

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