Search for Light Mass Dark Matter using Leptophilic Gauge Bosons Model in Neutrino Experiments Like DUNE and MiniBooNE

The search for Dark Matter is a well-motivated effort in high energy physics and cosmology. One of the promising anomaly-free models which fit the description of Light-Mass Dark Matter is an extension of the Standard Model featuring a light gauge boson $Z'$. This boson, $Z'$ weakly couples with the leptons by gauging $L_\mu - L_e$, $L_e - L_\tau$ and $L_\mu-L_\tau$. Such a Low-Mass $Z'$ is also able to explain the measured value of the muon’s anomalous magnetic moment. We look at the production of $Z'$ through meson decay, proton bremsstrahlung, and resonant on shell production. In this model, $Z'$ undergoes mixing with photons and further decays into $e^\pm$ and $\mu^\pm$. Therefore, we use the existing beam dump data from MiniBooNE and simulation study of DUNE to probe the understanding of Dark Matter, through achieving competitive constraints on the gauge coupling parameter $g_{Z'}$ of $Z'$.