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It is very likely that similar to the case of visible matter, dark matter toois composed of more than one stable component. In this work we investigate atwo-component dark matter with one component from the visible sector and theother from the hidden sector. Specifically we consider a $U(1)_X$ hidden sectorextension of MSSM/SUGRA where we allow for kinetic and Stueckelberg mass mixingbetween the two abelian $U(1)'s$, i.e., $U(1)_X$ and $U(1)_Y$. We furtherassume that the hidden sector has chiral matter which leads to a Dirac fermionas a candidate for dark matter. The lightest neutralino in the visible sectorand the Dirac fermion in the hidden sector then constitute the two componentsof dark matter. We investigate in particular MSSM/SUGRA models with radiativebreaking occurring on the hyperbolic branch where the Higgs mixing parameter$\mu$ is small (order the electroweak scale) which leads to a lightestneutralino being dominantly a higgsino. While dark matter constituted only ofhiggsinos is significantly constrained by data on dark matter relic density andby limits on spin independent proton-DM scattering cross section, consistencywith data can be achieved if only a fraction of the dark matter relic densityis constituted of higgsinos with the rest coming from the hidden sector. Anaspect of the proposed model is the prediction of a relatively light CP oddHiggs $A$ (as well as a CP even $H$ and a charged Higgs $H^{\pm}$) which isobservable at HL-LHC and HE-LHC. We perform a detailed collider analysis searchfor the CP odd Higgs using boosted decision trees in $\tau_h\tau_h$ finalstates and compare the discovery potential at HL-LHC and HE-LHC. We show thatwhile several of the points among our benchmarks may be observable at HL-LHC,all of them are visible at HE-LHC with much lower integrated luminosities thusreducing significantly the run time for discovery.

Mixed hidden sector/visible sector dark matter and observation of CP odd Higgs at HL-LHC and HE-LHC