  In this paper, we consider the extension of the Standard Model with
Chern-Simons type interaction. There is a new vector massive boson
(Chern-Simons bosons) in this extension. Using only three-particle dimension-4
interaction of the Chern-Simons bosons with vector bosons of the SM, we
consider effective loop interaction of a new vector boson with leptons. We
consider the renormalizability of this loop interaction and conclude that for
the case of computation of loop diagrams in the unitary gauge, we can not get
rid of the divergences in the effective interaction of the Chern-Simons bosons
with leptons.
