  Analytic estimates of screening masses in the symmetric, high-temperature
phase of the SU(2)-Higgs model are reviewed. The size of the mass gap in the
symmetric phase is closely related to the critical Higgs mass where the
first-order electroweak phase transition changes to a smooth crossover. We also
discuss some conjectures concerning the connection between the screening masses
of propagators in a fixed gauge and screening masses of gauge-invariant
operators.
