Vacuum stability vs. positivity in real singlet scalar extension of the standard model

We assume a generic real singlet scalar extension of the Standard Model living in the vacuum (v, w) at the electroweak scale with v = 246 GeV and w being respectively the Higgs and the singlet scalar vacuum expectation values. By requiring absolute vacuum stability for the vacuum (v, w), the positivity condition and the perturbativity up to the Planck scale, we show that the viable space of parameters in the model is strongly constrained for various singlet scalar vacuum expectation values w = 0.1, 1, 10, 100 TeV. Also, it turns out that the singlet scalar mass can be from a few GeV up to less than TeV. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

This study constrains a generic real singlet scalar extension of the Standard Model by requiring absolute vacuum stability, positivity condition, and perturbativity up to the Planck scale. It shows that the viable space of parameters in the model is strongly constrained for various singlet scalar vacuum expectation values, and the singlet scalar mass can vary widely.