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In extensions of the Standard Model with no dimensionful parameters theelectroweak phase transition can be delayed to temperatures of order 100 MeV.Then the chiral phase transition of QCD can proceed with 6 massless quarks. Thetop-quark condensate destabilizes the Higgs potential through the Yukawainteraction, triggering the electroweak transition. Based on the symmetries ofmassless QCD, it has been argued that the chiral phase transition is firstorder. We point out that the top-Higgs Yukawa interaction is nonperturbativelylarge at the QCD scale, and that its effect on the chiral phase transition maynot be negligible, violating some of the symmetries of massless QCD. Theremaining symmetries indicate that top quarks condense in a second-order phasetransition, but top condensation might also be triggered by a first-ordersymmetry-breaking transition in the light-quark sector.

Remark on the QCD-electroweak phase transition in a supercooled Universe