  LHC results do not confirm conventional natural solutions to the Higgs mass
hierarchy problem, motivating alternative interpretations where a
hierarchically small weak scale is generated from a dimension-less quantum
dynamics. We propose weakly and strongly-coupled models where the field that
breaks classical scale invariance giving mass to itself and to the Higgs is
identified with a possible new resonance within the LHC reach. As an example,
we identify such resonance with the 750 GeV diphoton excess recently reported
by ATLAS and CMS. Such models can be extrapolated up to the Planck scale,
provide Dark Matter candidates and eliminate the SM vacuum instability.

High Energy Physics - Phenomenology