Cosmological signature and light Dark Matter in Dirac $L_μ-L_τ$ model

We revisit an anomaly-free extension of the Standard Model (SM) $viz.$ gauged ${L_μ-L_τ}$ model in the Dirac framework, where the local $U(1)_{L_μ-L_τ}$ symmetry breaks and gives rise to a new gauge boson $Z'$ and corresponding gauge coupling $g_{μτ}$. Three additional heavy vector-like fermions, th