The Hidden Abelian Higgs Model (HAHM) is an extension of the Standard Model based on the gauge group $G =SU(3){C} \times SU(2){L} \times U(1){Y} \times U(1){X}U(1){X}$ gauge group in addition to the SM gauge groups.In HAHM, an Abelian Hidden sector is coupled to the SM, and the resulting new Higgs boson H and new neutral gauge boson fields are allowed to mix with the corresponding SM fields. In this work, we search for the new neutral gauge boson and new Higgs boson in the context of the Hidden Abelian Higgs Model (HAHM) through the decay process $pp(\bar{p})\rightarrow H\rightarrow Z{HAHM}Z_{HAHM}\rightarrow ^{\pm}^{\mp}^{\pm}^{\mp},(=e,\mu)200\leq Z_{HAHM} \leq 700$ GeV and the production and decay of new Higgs boson with 2 charged leptons in the final state of the process $pp(\bar{p})\rightarrow H\rightarrow^{\pm}^{\mp}jj ,(=e,\mu)$ with jets or final state of the proces $pp(\bar{p})\rightarrow H\rightarrow ^{\pm}^{mp}\nu\bar{\nu},(l=e,\mu)$ with missing energy.We used Monte Carlo data produced from proton-proton collisions at the LHC CERN (CMS and ATLAS detectors) for different center of mass energies up to

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