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We interpret the recently observed excess in diphoton invariant mass as a newspin-0 resonant particle. On the theoretical ground, an interesting question iswhether this new scalar resonance belongs to a strongly coupled sector or awell-defined weakly coupled theory. A possible UV-completion that has beenwidely considered in literature is based on the existence of new vector-likefermions whose loop contributions---Yukawa-coupled to the newresonance---explain the observed signal rate. The large total widthpreliminarily suggested by data seems to favor a large Yukawa coupling, at theborder of a healthy perturbative definition. This potential problem can befixed by introducing multiple vector-like fermions or large electric charges,bringing back the theory to a weakly coupled regime. However, this solutionrisks to be only a low-energy mirage: Large multiplicity or electric charge candangerously reintroduce the strong regime by modifying the renormalizationgroup running of the dimensionless couplings. This issue is also tightlyrelated to the (in)stability of the scalar potential. First, we study---in thetheoretical setup described above---the parametric behavior of the diphotonsignal rate, total width, and one-loop $\beta$ functions. Then, we numericallysolve the renormalization group equations, taking into account the observeddiphoton signal rate and total width, to investigate the fate of the weaklycoupled theory. We find that---with the only exception of few fine-tuneddirections---weakly coupled interpretations of the excess are brought back to astrongly coupled regime if the running is taken into account.

A new scalar resonance at 750 GeV: Towards a proof of concept in favor of strongly interacting theories