Running of low-energy neutrino masses, mixing angles and CP violation

We calculate the running of low-energy neutrino parameters from the bottom-up, parameterizing the unknown seesaw parameters in terms of the dominance matrix R. We find significant running only if the R matrix is non-trivial and the light-neutrino masses are moderately degenerate. If the light-neutrino masses are very hierarchical, the quark-lepton complementarity relation θc+θ12=π/4 is quite stable, but θ13,23 may run beyond their likely future experimental errors. The running of the oscillation phase δ is enhanced by the smallness of θ13, and jumps in the mixing angles occur in cases where the light-neutrino mass eigenstates cross.