Phenomenology of the Minimal Scale Invariant Two-Higgs-Doublet Model

We perform a comprehensive phenomenological analysis of the Scale Invariant Two Higgs Doublet Model ($\mathit{\text{SI2HDM}}$)~\cite{Lee:2012jn}. In this framework, the electroweak symmetry breaking is triggered radiatively, and the entire scalar mass spectrum, including that of the $125$ $\text{GeV}$ Higgs boson, is generated at the one loop level. After imposing stringent theoretical and experimental constraints, a highly constrained viable parameter space is identified, where the SM-like Higgs mass is purely radiative. The model predicts substantial suppression in the triple Higgs couplings and the di-Higgs production cross section at the LHC13, which can be reduced by up to $45.5\mathrm{\%}$ compared to the Standard Model prediction.