The status of the search for rare processes with low-background detectors is reviewed. The discussed experimental results include searches for the neutrino magnetic moment, neutrino decays and electron instability, the search for the violation of the electric and baryon charge conservation, the search for the violation of the Pauli exclusion principle and for new heavy mass eigenstates of neutrino. The new bounds on the probability of these processes obtained with the prototype of the Borexino detector are presented.

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