Naturalness Implications within the Two-Real-Scalar-Singlet beyond the SM

TL;DR

This paper explores the naturalness and quadratic divergence cancellations in a model extending the Standard Model with two real scalar singlets, analyzing implications for Higgs phenomenology and constraints on new physics at the LHC.

Contribution

It provides a detailed one-loop dimensional regularization analysis of divergence cancellation in the two-real-scalar-singlet extension, deriving constraints on model parameters and new physics scale.

Findings

Divergence cancellation is possible within the TRSM framework.

Constraints on model parameters are derived from divergence cancellation conditions.

The model remains consistent with current LHC measurements.

Abstract

The aim of this study is to investigate the quadratic divergences using dimensional regularization within the context of the standard model extended by two real scalar singlets (TRSM). This extension provides three neutral scalar fields that mix, after developing its {\it vev}'s, leading to three CP-even Higgs bosons, namely: $h_1$, $h_2$ and $h_3$, 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 dwell on the one-loop level ($d_L=2$) of dimensional regularization calculations, assuming $R_{\xi}$ Feynman-'t Hooft gauge-invariant generalization. We show that the divergence cancelation could take place in the framework of the TRSM, and thereby predicts 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.