Revisiting electroweak phase transition in the standard model with a real singlet scalar

Understand

We revisit the electroweak phase transition in the standard model with a real scalar, utilizing several calculation methods to investigate scheme dependences.

• We quantify the numerical impacts of Nambu-Goldstone resummation, required in one of the schemes, on the strength of the first-order electroweak phase transition.
• We also employ a gauge-independent scheme to make a comparison with the standard gauge-dependent results.
• It is found that the effect of the Nambu-Goldstone resummation is typically $\sim1\%$.