  Two-Higgs-doublet models (2HDMs) are minimal extensions of the Standard Model
(SM) that may still be discovered at the LHC. The quartic couplings of their
potentials can be determined from the measurement of the masses and branching
ratios of their extended scalar sectors. We show that the evolution of these
couplings through renormalization group equations can determine whether the
observed 2HDM is a low energy manifestation of a more fundamental theory, as
for instance, supersymmetry, which fixes the quartic couplings in terms of the
gauge couplings. At leading order, the minimal supersymmetric extension of the
SM (MSSM) dictates all the quartic couplings, which can be translated into a
predictive structure for the scalar masses and mixings at the weak scale.
Running these couplings to higher scales, one can check if they converge to
their MSSM values, and more interestingly, whether one can infer the
supersymmetry breaking scale. Although we study this question in the context of
supersymmetry, this strategy could be applied to any theory whose ultraviolet
completion unambiguously predicts all scalar quartic couplings.
