Impact of theoretical uncertainties on model parameter reconstruction from GW signals sourced by cosmological phase transitions
arxiv(2024)
Abstract
Different computational techniques for cosmological phase transition
parameters can impact the Gravitational Wave (GW) spectra predicted in a given
particle physics model. To scrutinize the importance of this effect, we perform
large-scale parameter scans of the dynamical real-singlet extended Standard
Model using three perturbative approximations for the effective potential: the
MS and on-shell schemes at leading order, and
three-dimensional thermal effective theory (3D EFT) at next-to-leading order.
While predictions of GW amplitudes are typically unreliable in the absence of
higher-order corrections, we show that the reconstructed model parameter spaces
are robust up to a few percent in uncertainty. While 3D EFT is accurate from
one loop order, theoretical uncertainties of reconstructed model parameters,
using four-dimensional standard techniques, remain dominant over the
experimental ones even for signals merely strong enough to claim a detection by
LISA.
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