Clockwork origin of neutrino mixings

The clockwork mechanism provides a natural way to obtain hierarchical masses and couplings in a theory. We propose a clockwork model that has nine clockwork generations. In this model, the candidates of the origin of the neutrino mixings are nine Yukawa mass matrix elements Yaβ that connect neutrinos and clockwork fermions, nine clockwork mass ratios qaβ, and nine numbers of clockwork fermions naβ, where a, β=1, 2, 3. Assuming Y</mml:mi>aβ=</mml:mo>1, the neutrino mixings originate from the pure clockwork sector. We show that the observed neutrino mixings are exactly obtained from a clockwork model in the case of the qaβ origin scenario. In the naβ origin scenario, the correct order of magnitude of the observed neutrino mixings is obtained from a clockwork model.