Abstract
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.
Highlights
Despite several theoretical and experimental motivations for new physics beyond the standard model (BSM), the LHC data on the production and branching ratios of the Higgs boson are tantalizingly close to their Standard Model (SM) predictions [1,2,3,4], yet to reveal any convincing sign of life beyond it
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
We explored an effective 2HDM arising from a more fundamental theory at a high scale, ΛS, which fixes the parameters of the Higgs potential
Summary
Despite several theoretical and experimental motivations for new physics beyond the standard model (BSM), the LHC data on the production and branching ratios of the Higgs boson are tantalizingly close to their SM predictions [1,2,3,4], yet to reveal any convincing sign of life beyond it. Viewed as a 2HDM effective theory, achieving the correct mass for the Higgs can be translated into obtaining the correct value for its quartic couplings when matched and run down from ΛS to the EWS Such “high scale SUSY” scenarios have been studied before in the literature, both in the case where the effective theory below the SUSY scale is strictly the SM [18,19,20,21,22], or a 2HDM in the context of a moderately high SUSY scale ΛS ∼ 104 GeV [23,24,25,26,27]. This approach has the advantage that it is independent of the details of the underlying theory which are hidden in the matching conditions at the high scale
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