The Next-to-Minimal Coleman-Weinberg Model

Abstract

In the standard model (SM) the condition that the Higgs mass parameter vanishes is stable under radiative corrections and yields a theory that can be renormalized using dimensional regularization. Thus, this model allows to predict the Higgs boson mass. However, it is phenomenologically ruled out in its minimal version. Here, we present a phenomenologically viable, minimal extension which only includes an additional SM singlet and a U(1)$_X$ gauge symmetry.

Figures (3)

• Figure 1: contours of $\lambda_\phi(\Lambda)\lambda_S(\Lambda)=\lambda_X^2(\Lambda)$ (a) in the $\alpha_X$--$\ln \Lambda$ plane and (b) in the $\lambda_S$--$\ln \Lambda$ plane
• Figure 2: comparison of (a) $m_h$ and (b) $\sin \alpha$ and $\sin \beta$ as a function of $\lambda_X$ using different approximations.
• Figure 3: Contours of constant (a) $m_h$, (b) constant $m_H$, (c) constant $\cot \alpha$ and (d) constant $m_B$ in the $\alpha_X$--$\lambda_X$ plane. In the shaded region the potential has maximum rather than a minimum and the region above the dashed curve is ruled out by non-observation of the process $Z\rightarrow h f\bar{f}$.