Abstract
The decoupling of a fermion, rendered heavy through Yukawa interactions, is considered in the standard electroweak theory. The original theory is free of perturbative and non-perturbative anomalies. After decoupling, the terms induced in the low-energy effective action which depend on the Higgs field and gauge fields precisely cancel all anomalies of the remaining set of light fermions. The low-energy effective action is gauge-invariant. When the Higgs sector contains stable solitons, decoupling of one fermion alters the statistics of the soliton and induces on it the charge of the decoupled fermion. If the Higgs sector does not contain stable solitons, decoupling may create stable fermionic solitons.
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