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The simplest extension of the Standard Model by only one real singlet scalarcan explain the observed dark matter relic density while giving simultaneouslya strongly first-order electroweak phase transition in the early universe.However, after imposing the invisible Higgs decay constraint from the LHC, theparameter space of the single scalar model shrinks to regions with only a fewpercent of the DM relic abundance and when adding the direct detection bound,e.g. from XENON100, it gets excluded completely. In this paper, we extend theStandard Model with two real guage singlet scalars, here $s$ and $s'$, and showthat the electroweak symmetry breaking may occur via different channels.Despite very restrictive first-order phase transition conditions for thetwo-scalar model in comparison to the single scalar model, there is a viablespace of parameters in different phase transition channels that simultaneouslyexplains a fraction or the whole dark matter relic density, a stronglyfirst-order electroweak phase transition and still evading the direct detectionbounds from the latest LUX/XENON experiments while respecting the invisibleHiggs decay width constraint from the LHC.

A Simultaneous Study of Dark Matter and Phase Transition: Two-Scalar Scenario