  The existence of a second Higgs doublet in Nature could lead to a
cosmological first order electroweak phase transition and explain the origin of
the matter-antimatter asymmetry in the Universe. We explore the parameter space
of such a two-Higgs-doublet-model and show that a first order electroweak phase
transition strongly correlates with a significant uplifting of the Higgs vacuum
w.r.t. its Standard Model value. We then obtain the spectrum and properties of
the new scalars $H_0$, $A_0$ and $H^{\pm}$ that signal such a phase transition,
showing that the decay $A_0 \rightarrow H_0 Z$ at the LHC and a sizable
deviation in the Higgs self-coupling $\lambda_{hhh}$ from its SM value are
sensitive indicators of a strongly first order electroweak phase transition in
the 2HDM.
