Radiative corrections in fermion bags bound by Higgs boson exchange

TL;DR

This paper investigates radiative corrections in fermion bags bound by Higgs exchange, demonstrating that for certain heavy fermions these corrections are small and attractive, supporting the potential existence of such fermion bags in nature.

Contribution

It provides the first detailed analysis showing that radiative corrections do not prevent the formation of fermion bags with heavy fermions bound by Higgs exchange.

Findings

Radiative corrections are small (~1%) for fermions with masses 0.4< m c^2< 1 TeV.

Corrections are attractive, supporting fermion bag stability.

Fermion bags with up to 12 fermions can exist in nature.

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.