Large magnetic dipole moments for neutrinos with arbitrary non-calculable masses

We show that there is a general sort of neutrino effective interactions whi ch allows, under certain conditions, to have relatively large magnetic dipo le moments for neutrinos while keeping their masses non-calculable and arbi trarily small. The main ingredient of our mechanism for generating large ma gnetic moment to the neutrinos is the existence of a neutral scalar which h as the only role to give mass to the neutrinos or the existence of flavor c hanging neutral currents in the neutrino sector. Although our approach is m odel independent, some models in which those interactions arise are comment ed.