An Effective Theory of Light Dirac Neutrinos and \(\nu _R\) -Philic Dark Matter with Observable \({\Delta N_\textrm{eff}}\)
摘要
We investigate light Dirac neutrino portal dark matter (DM) within an effective field theory (EFT) framework, where the right-chiral component of the light neutrino, \(\nu _R\) , serves as a portal between DM and Standard Model (SM) particles. Considering a Dirac fermion singlet DM stabilized by an unbroken \(Z_2\) symmetry, we derive all dimension-6 operators involving DM- \(\nu _R\) and \(\nu _R\) -SM interactions that conserve \(Z_2\) , global lepton number, and SM gauge symmetries. The thermalization of DM ensures \(\nu _R\) thermalization, enhancing effective relativistic degrees of freedom ( \(N_\textrm{eff}\) ), which can be probed by future cosmic microwave background (CMB) experiments. We explore the complementarity between DM and CMB observables for different effective operator structures and propose two UV completions based on \(\mathrm B-L\) and left-right symmetric models.