From transition magnetic moments to majorana neutrino masses

It is well known that a majorana mass induces a (small) transition magnetic moment. The converse is also true; in this paper we estimate the loop contribution of transition magnetic moments $[\mu {]}_{\alpha \beta }$ to the neutrino mass matrix $[m{]}_{\alpha \beta }$. We show that for hierarchical neutrino masses, the contribution of $[\mu {]}_{e\tau }$ to $[m{]}_{e\tau }$ can exceed the experimental value of $[m{]}_{e\tau }$.