Strongly Coupled Dark Energy Cosmologies yielding large mass Primordial
  Black Holes
  Large primordial Black Hole (PBH) formation is enhanced if strongly coupled
scalar and spinor fields ($\Phi$ and $\psi$) are a stable cosmic component
since the primeval radiative expansion (SCDEW models). In particular, we show
that PBH formation is easier at a specific time, i.e., when the asymptotic mass
$m_H$, acquired by the $\psi$ field at the higgs scale, becomes dominant, so
that the typical BH mass $M_{BH}$ depends on $m_H$ value. For instance, if $m_H
\sim 100\,$ eV $(1$ keV$)$ and the coupling $\beta \sim 8.35 (37)$, PBH with
$M_{BH} \simeq 10^7-10^8 $ $(10^3-10^4)\, M_\odot$ could form. The very
mechanism enhancing PBH formation also causes technical difficulties to
evaluate the transfer function of SCDEW models at high $k$. A tentative
solution of this problem leaves only minor discrepancies from $\Lambda$CDM,
also at these scales, gradually vanishing for greater $m_H$ values. We conclude
that, for suitable parameter choices, SCDEW models could be the real physics
underlying $\Lambda$ CDM, so overcoming its fine tuning and coincidence
problems, with the extra bonus of yielding large BH seeds.
