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The link between ordinary Standard model (SM) photon and both dark photon andaxion like particle (ALP) can be introduced through the dark axion portalcoupling. Given the dark axion portal setup, in the present paper we refer thedark photon as the mediator between SM and dark matter (DM) particles, implyingthat it decays predominantly into pair of DM fermions. Furthermore, we discussin detail the implication of the dark axion portal scenario for the lepton(electron and muon) fixed target experiments. In particular, for the specificfixed target facility we study the missing energy signatures of the dark photonproduction followed by its invisible decay into stable DM particles. Weinvestigated the potential to probe dark axion portal vertices with regardingsignatures and derive the expected sensitivities of NA64$e$, NA64$\mu$, LDMXand $\mbox{M}^3$. Moreover, we estimated the expected reach of NA64$e$ from theprojected statistics of the $J/\psi$ vector meson invisible decays. We alsorecasted BaBar monophoton bounds for the specific dark axion portal scenario.In addition, we modified the dark axion portal setup by including in the modelboth the hadron and lepton specific ALP couplings. As the result, we obtain thebounds on the combination of fermion-specific couplings of ALP from the fixedtarget experiments. We discuss the implication of the modified dark axionportal scenario for the electric dipole moments (EDM) of SM fermions. Inaddition, we derived the novel constraints on the combination of the$CP$-violating neutron-specific ALP couplings from the existing bounds onneutron EDM by taking into account the neutron anomalous magnetic moment.

Implication of the dark axion portal for the EDM of fermions and dark matter probing with NA64$e$, NA64$\mu$, LDMX, $\mbox{M}^3$, and BaBar