Erratum: Constraints on the scalar sector of the renormalizable coloron model [Phys. Rev. D 88, 075020 (2013)]

In a recent paper, we discussed the constraints on the renormalizable coloron model derived from the requirements of vacuum stability, tree-level unitarity, electroweak precision measurements, and from LHC measurements of the properties of the observed Higgs-like scalar boson. In this Erratum we correct an error in our expression for the gluon-fusion contribution to Higgs boson production arising from the extra colored scalars and vectors present in the model. The corrections enhance the size of these contributions, and result in stronger constraints on the model parameters.

Figure 1

The most stringent unitarity constraints on the $m_s-\sin \chi$ plot for $m_s\ge 150\mathrm{GeV}$. The top row panels represent the bounds for a singlet VEV $v_s=1000\mathrm{GeV}$, and for several values of the scalar color-octet mass, $m_{G_H}$. The panels in the middle (bottom) row correspond to $v_s=3000(5000)\mathrm{GeV}$, which yield additional allowed parameter space, and also a larger $m_{G_H}$. In each panel, the three curves correspond (from top to bottom) to $m_{\mathcal{A}}\in \{0,\frac{1}{2}{m}_{G_H},m_{G_H}\}$, and the resulting plots are superimposed, demonstrating a moderate dependence of the unitarity constraints on this parameter. A larger $m_{\mathcal{A}}$ slightly weakens the exclusion bounds.

Figure 2

The constraints on the $v_s\text{−}\sin \chi$ plane derived from the properties of the 125 GeV scalar observed by the LHC; the grey region is excluded at 95% C.L.. We choose $m_{\mathcal{A}}=0$, which allows for the invisible decay $h\to \mathcal{A}\mathcal{A}$, in the first row. and $m_{\mathcal{A}}=100\mathrm{GeV}$ (which forbids that invisible decay) in the second row. The three columns are for zero, one, and three generations of spectator quarks, reading from left to right. Note that the sign of $\sin \chi$ matters.

Figure 3

For the parameter set, Eq. (62) of this erratum. Left: ${\kappa }_{gg}^s$, the ratio of the gluon-fusion production cross section of $s$ relative to that for a standard model Higgs of mass $m_s$, as a function of $m_s$ for a given set of $\sin \chi ,N_Q$. The pale red and dark blue lines are for $\sin \chi =0.1$, 0.3, while thick, dashed and dotted lines of either shade are for $N_Q=0$, 1, 3, respectively. Right: $\mathrm{BR}(s\to VV)/\mathrm{BR}(H\to VV)$ as a function of $m_s$ for different $\sin \chi$, where the pale red and dark blue lines are for $\sin \chi =0.1$, 0.3, respectively.

Figure 4

The black dashed line denotes the strongest exclusion at 95% C.L. from $H\to ZZ$ and $H\to WW$ channels at CMS [3] and ATLAS [4], respectively. Using the revised model-parameter values shown in Eq. (62) of this erratum, the pale red and dark blue lines in each panel are for $\sin \chi =0.1$, 0.3, and the panels from left to right are for $N_Q=0$, 1, 3, respectively.

Figure 5

Constraints on the $m_s\text{−}|\sin \chi |$ plane for $m_s\ge 150\mathrm{GeV}$. All colored regions are excluded. Theoretical bounds arise from stability (solid curves) and unitarity (dot-dashed) analyses, whereas the experimental constraints, at 95% C.L., are due to electroweak precision tests (dotted), and LHC direct searches (dashed, vertical). The top row shows bounds for a singlet VEV $v_s=1000\mathrm{GeV}$, where several values of the scalar color-octet mass $m_{G_H}$ are plotted; the middle (bottom) row corresponds to $v_s=3000(5000)\mathrm{GeV}$. In each panel, the illustrative value for the pseudoscalar mass $m_{\mathcal{A}}=\frac{1}{2}{m}_{G_H}$ is shown, since dependence on $m_{\mathcal{A}}$ is modest. Sensitivity to the coloron and spectator fermion masses, $M_C$ and $M_Q$, is negligible. The allowed parameter space for $v_s=1000\mathrm{GeV}$ is tightly constrained, while a larger singlet VEV leaves more scope.