  In this work we show that the new bounds on the Higgs mass are more than
difficult to reconcile with the strong constraints on the physical parameters
of the Standard Model and the Minimal Supersymmetric Standard Model imposed by
the preservation of the baryon asymmetry. This bound can be weakened by
assuming a nonstandard cosmology at the time of the electroweak phase
transition, reverting back to standard cosmology by BBN time. Two explicit
examples are an early period of matter dominated expansion due to a heavy right
handed neutrino (see-saw scale), or a nonstandard braneworld expansion.
