Abstract
We study the theoretical constraints on a model whose scalar sector contains one color octet and one or two color singlet SU(2)L doublets. To ensure unitarity of the theory, we constrain the parameters of the scalar potential for the first time at the next-to-leading order in perturbation theory. Moreover, we derive new conditions guaranteeing the stability of the potential. We employ the HEPfit package to extract viable parameter regions at the electroweak scale and test the stability of the renormalization group evolution up to the multi-TeV region. Furthermore, we set upper limits on the scalar mass splittings. All results are given for both cases with and without a second scalar color singlet.
Highlights
The discovery of the 125 GeV Higgs boson at the LHC [1, 2] exemplifies the success of the Standard Model (SM)
While the boundedness-from-below constraints are trivial, we want to discuss the different unitarity constraints in the 2HDMW, before we consider higher scales and the effect of the theory constraints on the physical parameters for both, the 2HDMW and the Manohar and Wise (MW) model
Due to the large number of degrees of freedom, we present the direct comparison of model parameters in the most cases
Summary
The discovery of the 125 GeV Higgs boson at the LHC [1, 2] exemplifies the success of the Standard Model (SM). The inclusive character of the 2HDMW model is capable of explaining new physics and compatible with the established experimental observations. It is a viable model for LHC physics in terms of h-signal strengths since they are not necessarily affected at tree-level. A study of LHC phenomenology was performed, and found that the color-octet scalar added to the 2HDM could produce large corrections to the one-loop couplings of the Higgs boson to two gluons or photons. The perturbative unitarity constraints imposed on the model in Ref. [28,29,30] to explore these perturbative unitarity bounds at next-to-leading order (NLO) and firstly impose them on color-octet scalar.
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