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LHC Run-2 has provided intriguing di-photon signals of a new resonance around750GeV, which, if not due to statistical fluctuations, must call for newphysics beyond the standard model (SM) at TeV scale. We propose a minimalextension of the SM with a complex singlet scalar $\mathcal{S}$ and a doubletof vector-like quarks. The scalar sector respects CP symmetry, with its CP-oddimaginary component $\chi$ providing a natural dark matter (DM) candidate. Thereal component of $\mathcal{S}$ serves as the new resonance (750GeV) andexplains the diphoton excess of the LHC Run-2. The new scalar degrees offreedom of $\mathcal{S}$ help to stabilize the Higgs vacuum, and can realizethe Higgs inflation around GUT scale, consistent with the current cosmologyobservations. We construct two representative samples A and B of our model fordemonstration. We study the mono-jet signals of the DM production frominvisible decays Re$(\mathcal{S}) \to \chi\chi$ at the LHC Run-2. We furtherderive the DM relic density bound, and analyze the constraints from direct andindirect DM detections.

Realizing Dark Matter and Higgs Inflation in Light of LHC Diphoton Excess