Naturalness implications within the two-real-scalar-singlet beyond the SM

Abstract

Abstract The aim of this study is to investigate the quadratic divergences using dimensional regularization within the context of the Standard Model (SM) extended by two real scalar singlets (TRSM). This extension provides three neutral scalar fields that mix, after developing its VEVs, leading to three CP-even Higgs bosons, namely, $$h_1$$ h 1 , $$h_2$$ h 2 and $$h_3$$ h 3 , which would offer a wide phenomenology at the Large Hadron Collider (LHC), as reported recently. Furthermore, to fulfill the Veltman conditions for those three fields, we concentrate on the one-loop level ( $$d_L=2$$ d L = 2 ) of dimensional regularization calculations, assuming $$R_{\xi }$$ R ξ Feynman–’t Hooft gauge-invariant, $$\xi =1$$ ξ = 1 . We show that the divergence cancellation could take place in the framework of the TRSM for the SM-like Higgs boson predicting a stringent constraint on the space parameters as well as the new physics (NP) scale, and yet remain consistent with current experimental measurements at 13 TeV.