State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in Standard Model

Abstract

The decay rate of the electroweak (EW) vacuum is calculated in the framework of the standard model (SM) of particle physics, using the recent progresses in the understanding of the decay rate of metastable vacuum in gauge theories. We give a manifestly gauge-invariant expression of the decay rate. We also perform a detailed numerical calculation of the decay rate. With the best-fit values of the SM parameters, we find that the decay rate of the EW vacuum per unit volume is about $10^{-577}\mathrm{Gy}{\mathrm{r}}^{-1}\mathrm{Gp}{\mathrm{c}}^{-3}$; with the uncertainty in the top mass, the decay rate is estimated as $10^{-295}-10^{-1465}\mathrm{Gy}{\mathrm{r}}^{-1}\mathrm{Gp}{\mathrm{c}}^{-3}$.

Typos are corrected. Result of updated analysis based on the 2023 PDG valus of standard-model parameters are added as Addendum

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