Electroweak non-topological solitons and baryon number violation in the standard model

Abstract

It is argued, that the presence of a heavy fermion doublet of fourth generation in the standard model would lead to the formation of non-topological solitonic states of two different types. Due to the complex vacuum structure of the model, the solitonic states are unstable with respect to the anomalous decay with fermion number non-conservation. If the mass of the fermion exceeds the critical value m cr=10−18 TeV, then together with the possibility of the formation of the metastable non-topological soliton, there exists a possibility of the rapid anomalous decay of the bare fermion.