Radiative corrections in fermion bags bound by Higgs boson exchange

Abstract

Radiative corrections for several heavy fermions bound together via the Higgs boson exchange are studied. The fermion bags considered include 12, or fewer, fermions occupying the lowest S_{1/2} shell. It is shown that for `moderately heavy' fermions with masses 0.4< m c^2< 1 TeV the radiative corrections are small, 10^{-2}, and have an attractive nature. Therefore they do not put existence of the fermion bag in doubt. This proves that these fermion bags can exist in nature.

Comments: 4 pages, 4 figures, references added, dependence of the radiative corrections on the number of heavy fermions contributing to the vacuum polarization is descussed