Radiative corrections in fermion bags bound by Higgs boson exchange

M. Yu. Kuchiev^a and V. V. Flambaum^b

School of Physics, University of New South Wales - Sydney 2052, Australia

^a kmy@phys.unsw.edu.au
^b flambaum@phys.unsw.edu.au

Received: 5 January 2012
Accepted: 2 February 2012

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⩽mc²⩽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.