Model Independent Naturalness Bounds on Magnetic Moments of Majorana Neutrinos

We analyze the implications of neutrino masses for the magnitude of neutrino magnetic moments. By considering electroweak radiative corrections to the neutrino mass, we derive model-independent naturalness upper bounds on neutrino magnetic moments, generated by physics above the electroweak scale. For Majorana neutrinos, these bounds are weaker than present experimental limits if $\mu_\nu$ if generated by new physics at $\sim$ 1 TeV, and surpass current experimental sensitivity only for new physics scales $>$ 10 -- 100 TeV. The discovery of a neutrino magnetic moment near present limits would thus signify that neutrinos are Majorana particles.