Condensed State of Heavy Vectorlike Neutrinos

Some extensions of the standard model suggest the existence of vectorlike fermions whose mass $M$ can be larger by up to several orders of magnitude than the electroweak scale $v$, and with the Higgs mechanism providing only a small part $m$ of this mass that is a fraction of $v$. It is shown that in a certain range of the parameters $m$ and $M$, there exist stable globules of degenerate fermionic matter made from the lighter of the neutral vectorlike leptons (superheavy neutrinos) with a number density much larger than $m_h{v}^2$, with $m_h$ being the Higgs boson mass. The stability is due to the deformation of the Higgs field inside the globule to values greatly exceeding $v$. The globules are absolutely stable if the lighter of the vectorlike neutrinos is stable and can be (a part of) the dark matter.

Figure 1

The dependence on the parameter $m$ of the minimal value of the mass $M$, above which the condensation of heavy vectorlike neutrinos into globules is possible.