  We discuss the computation of the grand canonical partition sum describing
hot matter in systems with the Higgs mechanism in the presence of non-zero
conserved global charges. We formulate a set of simple rules for that
computation in the high-temperature approximation in the limit of small
chemical potentials. As an illustration of the use of these rules, we calculate
the leading term in the free energy of the standard model as a function of
baryon number B. We show that this quantity depends continuously on the Higgs
expectation value $\phi$, with a crossover at $\phi\sim T$ where Debye
screening overtakes the Higgs mechanism---the Higgs vacuum ``melts". A number
of confusions that exist in the literature regarding the B dependence of the
free energy is clarified.
