Percolation Temperatures When Supercooling Is Truncated: The False-Vacuum Fraction at Completion

Percolation occurs at 94.5 GeV, about nine percent below the critical temperature of 100 GeV in this benchmark, and at that point the false-vacuum fraction is 0.712 by construction of the criterion. The tabulated I values rise steeply across a narrow temperature interval, which is the quantitative signature of a transition that, once started, finishes quickly compared with a Hubble time. The ceiling temperature of 1.05e+09 GeV does not enter the integral at any order that matters here, because the entire nucleation history that contributes appreciably to I lies within a few GeV of the critical temperature. Truncating the supercooling history at the ceiling therefore shifts the percolation temperature by an amount smaller than the resolution of the temperature grid. This study is simulated and computed from stated assumptions; it is not a measurement.