  We perform a comprehensive analysis of the most distinctive and important
phenomenological implications of the recently proposed mechanism of sequential
loop generation of strong hierarchies in the Standard Model (SM) fermion mass
spectra. This mechanism is consistently realized at the level of renormalizable
interactions in an extended variant of the Inert Higgs Doublet model,
possessing the additional $Z_{2}^{(1)}\times Z_{2}^{(2)}$ discrete and $U_{1X}$
gauge family symmetries, while the matter sectors of the SM are extended by
means of $SU_{2L}$-singlet scalars, heavy vector-like leptons and quarks, as
well as right-handed neutrinos. We thoroughly analyze the most stringent
constraints on the model parameter space, coming from the $Z^{\prime }$
collider searches, related to the anomaly in lepton universality, and the muon
anomalous magnetic moment, as well as provide benchmark points for further
tests of the model and discuss possible "standard candle" signatures relevant
for future explorations.
