## PTPlot: Singlet scalar benchmark points

Benchmark points for the SM extended with a general real singlet scalar field, $S$ (supplied by J. Kozaczuk).

$$\Delta V = b_1 S + \frac{1}{2} b_2 S^2 + \frac{1}{2} a_1 S \left| H \right|^2 + \frac{1}{2} a_2 S^2 \left| H \right|^2 + \frac{1}{3} b_3 S^3 + \frac{1}{4} b_4 S^4.$$ In the mass basis, the mass-ordered eigenstates are $m_{1,2}$. The mixing angle between $S$ and $H$ is denoted as $\theta$. Masses considered are $m_2 = 170,\, 240\, \mathrm{GeV}$. We show results for points with $m_2= 170,\, 240\, \mathrm{GeV}$ and $\sin \theta = 0.1$, which are likely to be probed by direct searches at the high-luminosity LHC with $3\, \mathrm{ab}^{-1}$, and $\sin\theta = 0.01$, which will likely remain undetected at colliders. The various parameters in the potential are scanned over as described in the text. See also JHEP 1708 (2017) 096 [http://arxiv.org/abs/arXiv:1704.05844] for more details.

General parameters used for plotting: $v_\mathrm{w} = 1.0$, $T_* = 50.0 \, \mathrm{GeV}$ (when all points are plotted), $g_* = 107.75$.

Mission profile: Science Requirements Document (3 years)

#### This model has the following scenarios:

• Not probed by HL-LHC: Set of points that are not probed by HL-LHC [plot scenario]
• Will be probed by HL-LHC: Set of points that will be probed by HL-LHC [plot scenario]