  The discovery of the Higgs boson by the LHC experiments ATLAS and CMS has
marked a milestone for particle physics. Yet, there are still many open
questions that cannot be answered within the Standard Model (SM). For example,
the generation of the observed matter-antimatter asymmetry in the universe
through baryogenesis can only be explained qualitatively in the SM. A simple
extension of the SM compatible with the current theoretical and experimental
constraints is given by the 2-Higgs-Doublet Model (2HDM) where a second Higgs
doublet is added to the Higgs sector. We investigate the possibility of a
strong first order electroweak phase transition in the CP-conserving 2HDM type
I and type II where either of the CP-even Higgs bosons is identified with the
SM-like Higgs boson. The renormalisation that we apply on the loop-corrected
Higgs potential allows us to efficiently scan the 2HDM parameter space and
simultaneously take into account all relevant theoretical and up-to-date
experimental constraints. The 2HDM parameter regions found to be compatible
with the applied constraints and a strong electroweak phase transition are
analysed systematically. Our results show that there is a strong interplay
between the requirement of a strong phase transition and collider phenomenology
with testable implications for searches at the LHC.
