Neutrino magnetic moment and the dicyclic group

We show a mechanism using a discrete symmetry, the dicyclic group ${\mathrm{Q}}_6$, which naturally gives rise to a small mass but a large transitional magnetic moment for the neutrino such that the anticorrelation between the solar neutrino intensity and the sunspot activity can be explained. The process of muonium-antimuonium oscillation provides the most interesting constraint to the model besides neutrino physics.