Planned CMB Stage IV experiments have the potential to measure the effective number of relativistic degrees of freedom in the early Universe, N eff , with percent-level accuracy. This probes new thermalized light particles and also constrains possible new-physics interactions of Dirac neutrinos. Many Dirac-neutrino models that aim to address the Dirac stability, the smallness of neutrino masses or the matter-anti-matter asymmetry of our Universe endow the right-handed chirality partners νR with additional interactions that can thermalize them. Unless the reheating temperature of our Universe was low, this leads to testable deviations in N eff . We discuss well-motivated models for νR interactions such as gauged U (1)B−L and the neutrinophilic two-Higgs-doublet model, and compare the sensitivity of SPT-3G, Simons Observatory, and CMB-S4 to other experiments, in particular the LHC.