We describe a minimal extension of the standard model (SM) by three right-handed neutrinos, a scalar doublet, and a scalar singlet (the “$\nu \mathrm{DFSZ}$”) which serves as an existence proof that weakly coupled high-scale physics can naturally explain phenomenological shortcomings of the SM. The $\nu \mathrm{DFSZ}$ can explain neutrino masses, baryogenesis, the strong $CP$ problem, and dark matter, and remains calculably natural despite a hierarchy of scales up to $\sim {10}^{11}\mathrm{GeV}$. It predicts a SM-like Higgs boson (maximally) TeV-scale scalar states, intermediate-scale hierarchical leptogenesis (${10}^5\mathrm{GeV}\lesssim M_N\lesssim {10}^7\mathrm{GeV}$), and axionic dark matter.

• Received 4 October 2015

DOI:https://doi.org/10.1103/PhysRevD.93.035001