The electroweak precision constraints of the 2HDM+S

TL;DR

This paper investigates how the 2HDM+S model affects electroweak precision observables, deriving mass relations and constraints on Higgs sector parameters, and compares these with Higgs coupling measurements.

Contribution

It provides a comprehensive analysis of electroweak constraints on the 2HDM+S, including new mass relations and limits in both alignment and non-alignment scenarios.

Findings

Electroweak precision data impose upper limits on neutral Higgs masses.

Derived universal mass relations involving mixing angles and Higgs masses.

Tighter constraints are found in the non-alignment limit.

Abstract

The 2HDM+S is the singlet extension of the Two-Higgs-Doublets Model (2HDM). The singlet field and its mixing with the 2HDM Higgs sector lead to new contributions to the electroweak precision observables, in particular, the oblique parameters. In this paper, we identify five benchmark cases, where at most one mixing angle is nonzero and analyze the 95% C.L. allowed parameter space by the oblique parameters. In the alignment limit of the 2HDM, we find that other than the usual mass relations of $m_H\sim m_{H^\pm}$ or $m_A\sim m_{H^\pm}$, electroweak precision measurements also impose an upper limit on the neutral Higgs masses. In the cases with nonzero singlet mixing with the 2HDM Higgses $H$ or $A$, we find approximate mass relations of $c^2_{\alpha_{HS}} m_{H} + s^2_{\alpha_{HS}}m_{h_S} = m_{H^\pm}$ or $c^2_{\alpha_{AS}} m_{A} + s^2_{\alpha_{AS}}m_{A_S} = m_{H^\pm}$. Those relations are universal to the 2HDM+S models, with or without further symmetry assumption. We also study the non-alignment limit of the 2HDM+S, which typically has tighter constraints on the masses and mixing angles. At the end, we examine the complementarity between the electroweak precision analyses and the Higgs coupling precision measurements.