Kavli Affiliate: Carlos E. M. Wagner
| First 5 Authors: Pedro Bittar, Subhojit Roy, Carlos E. M. Wagner, ,
| Summary:
An accurate description of the scalar potential at finite temperature is
crucial for studying cosmological first-order phase transitions (FOPT) in the
early Universe. At finite temperatures, a precise treatment of thermal
resummations is essential, as bosonic fields encounter significant infrared
issues that can compromise standard perturbative approaches. The Partial
Dressing (or the tadpole resummation) method provides a self consistent
resummation of higher order corrections, allowing the computation of thermal
masses and the effective potential including the proper Boltzmann suppression
factors and without relying on any high-temperature approximation. We
systematically compare the Partial dressing resummation scheme results with the
Parwani and Arnold Espinosa (AE) ones to investigate the thermal phase
transition dynamics in the Two-Higgs-Doublet Model (2HDM). Our findings reveal
that different resummation prescriptions can significantly alter the nature of
the phase transition within the same region of parameter space, confirming the
differences that have already been noticed between the Parwani and AE schemes.
Notably, the more refined resummation prescription, the Partial Dressing
scheme, does not support symmetry non-restoration in 2HDM at high temperatures
observed using the AE prescription. Furthermore, we quantify the uncertainties
in the stochastic gravitational wave (GW) spectrum from an FOPT due to
variations in resummation methods, illustrating their role in shaping
theoretical predictions for upcoming GW experiments. Finally, we discuss the
capability of the High-Luminosity LHC and proposed GW experiments to probe the
FOEWPT-favored region of the parameter space.
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