  Even though the Standard Model with a Higgs mass mH = 125 GeV possesses no
bulk phase transition, its thermodynamics still experiences a "soft point" at
temperatures around T = 160 GeV, with a deviation from ideal gas
thermodynamics. Such a deviation may have an effect on precision computations
of weakly interacting dark matter relic abundances if their mass is in the few
TeV range, or on leptogenesis scenarios operating in this temperature range. By
making use of results from lattice simulations based on a dimensionally reduced
effective field theory, we estimate the relevant thermodynamic functions across
the crossover. The results are tabulated in a numerical form permitting for
their insertion as a background equation of state into cosmological particle
production/decoupling codes. We find that Higgs dynamics induces a non-trivial
"structure" visible e.g. in the heat capacity, but that in general the largest
radiative corrections originate from QCD effects, reducing the energy density
by a couple of percent from the free value even at T > 160 GeV.
