Can measurements of 2HDM parameters provide hints for high scale supersymmetry?

TL;DR

This paper explores how measurements of 2HDM parameters at the LHC can reveal whether the model is connected to high-scale supersymmetry by analyzing the evolution of scalar couplings through renormalization group equations.

Contribution

It introduces a method to use 2HDM parameter measurements to infer high-scale supersymmetry or other UV completions by studying coupling evolution.

Findings

Couplings evolve to MSSM predictions at high scales.

Potential to determine the supersymmetry breaking scale.

Method applicable to other theories with predictive scalar sectors.

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.