A loop-level neutrino magnetic moment is generated via an SU(2)_L adjoint fermion 'bridge', making the mass diagram vanish by tracelessness of the generators, though RG mixing limits the observable size.
Majorana Neutrinos and Magnetic Fields,
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Decoupling Neutrino Magnetic Moment from Mass with $SU(2)_L$ Invariance
A loop-level neutrino magnetic moment is generated via an SU(2)_L adjoint fermion 'bridge', making the mass diagram vanish by tracelessness of the generators, though RG mixing limits the observable size.