From transition magnetic moments to majorana neutrino masses

Abstract

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 $[μ]_{αβ}$ to the neutrino mass matrix $[m]_{αβ}$. We show that for hierarchical neutrino masses, the contribution of $[μ]_{e τ}$ to $[m]_{e τ}$ can exceed the experimental value of $[m]_{e τ}$.

9 pages, final version (improved notation, some mention of the dimension 5 mass operator)