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The Complex singlet extension of the Standard Model (CxSM) is the simplestextension that provides scenarios for Higgs pair production with differentmasses. The model has two interesting phases: the dark matter phase, with aStandard Model-like Higgs boson, a new scalar and a dark matter candidate; andthe broken phase, with all three neutral scalars mixing. In the latter phaseHiggs decays into a pair of two different Higgs bosons are possible. In thisstudy we analyse Higgs-to-Higgs decays in the framework of singlet extensionsof the Standard Model (SM), with focus on the CxSM. After demonstrating thatscenarios with large rates for such chain decays are possible we perform acomparison between the NMSSM and the CxSM. We find that, based onHiggs-to-Higgs decays, the only possibility to distinguish the two models atthe LHC run 2 is through final states with two different scalars. Thisconclusion builds a strong case for searches for final states with twodifferent scalars at the LHC run 2. Finally, we propose a set of benchmarkpoints for the real and complex singlet extensions to be tested at the LHC run2. They have been chosen such that the discovery prospects of the involvedscalars are maximised and they fulfil the dark matter constraints. Furthermore,for some of the points the theory is stable up to high energy scales. For thecomputation of the decay widths and branching ratios we developed the Fortrancode, sHDECAY, which is based on the implementation of the real and complexsinglet extensions of the SM in HDECAY.

Singlet Extensions of the Standard Model at LHC Run 2: Benchmarks and Comparison with the NMSSM