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Kinetic mixing of the dark photon, the gauge boson of a hidden $U(1)_D$, withthe Standard Model (SM) gauge fields to induce an interaction between ordinarymatter and dark matter (DM) at 1-loop requires the existence of portal matter(PM) fields having both dark and SM charges. As discussed in earlier work,these same PM fields can also lead to other loop-level mechanisms besideskinetic mixing that can generate significant interactions between SM fermionsand the dark photon in a manner analogous to those that can be generatedbetween a Dirac neutrino and a SM photon, \ie, dark moments. In either case,there are reasons to believe, \eg, due to the RGE running of the $U(1)_D$ gaugecoupling, that PM fields may have $\sim$ TeV-scale masses that lie at or abovethose directly accessible to the HL-LHC. If they lie above the reach of theHL-LHC, then the only way to possibly explore the physics at this high scale inthe short term is via indirect measurements made at lower energies, \eg, atlepton colliders operating in the $m_Z$ to 1 TeV range. In particular,processes such as $e^+e^- \to \gamma+$DM or $e^+e^-\to \bar ff$, where $f$ is aSM fermion, may be most useful in this regard. Here we explore thesepossibilities within the framework of a simple toy PM model, introduced inearlier work, based on a non-abelian dark gauge group completion operating atthe PM scale. In the KM setup, we show these efforts fail due to the inherentlytiny cross sections in the face of substantial SM backgrounds. However, in thecase of interactions via induced dark moments, since they necessarily take theform of higher dimensional operators whose influence grows with energy, we showthat access to PM-scale information may become possible for certain ranges ofthe toy model parameters for both of these $e^+e^-$ processes at a 1 TeVcollider.

Towards UV-Models of Kinetic Mixing and Portal Matter V: Indirect Probes of the New Physics Scale