PTPlot

PTPlot: 2HDM benchmark points

Benchmark points for the two-Higgs-doublet model with a softly-broken $Z_2$ symmetry (supplied by G. Dorsch and J.M. No).

Benchmark points for the two-Higgs-doublet model (2HDM) with a softly-broken $Z_{2}$ symmetry, with scalar potential $$\begin{eqnarray} V(H_1,H_2) & = & \mu^2_1 \left|H_1\right|^2 + \mu^2_2\left|H_2\right|^2 - \mu^2 \left[H_1^{\dagger}H_2+\mathrm{h.c.}\right] +\frac{\lambda_1}{2}\left|H_1\right|^4 +\frac{\lambda_2}{2}\left|H_2\right|^4 \nonumber \\ & & + \lambda_3 \left|H_1\right|^2\left|H_2\right|^2 +\lambda_4 \left|H_1^{\dagger}H_2\right|^2 + \frac{\lambda_5}{2}\left[\left(H_1^{\dagger}H_2\right)^2+\mathrm{h.c.}\right] \, , \nonumber \end{eqnarray}$$ In the mass basis, there are three new physical states in addition to the 125 GeV Higgs $h$: a charged scalar $H^{\pm}$ and two neutral states $H_0$, $A_0$. Apart from their masses, the 2HDM features as free parameters two angles ($\beta$ and $\alpha$) and $\mu^2$. In the following results we consider $m_{H^{\pm}} = m_{A_0}$, $\mathrm{cos} (\beta - \alpha) = 0$ (the 2HDM alignment limit) an fix for convenience $\mu^2 (\mathrm{tan} \beta + \mathrm{tan}^{-1} \beta) = m_{H_0}^2$. Results are shown for benchmarks in $m_{H_0} \in [180\,\mathrm{GeV},\,\,450\,\mathrm{GeV}]$ and $m_{A_0} \in [m_{H_0}+ 150\,\mathrm{GeV} ,\,\,m_{H_0} + 350\,\mathrm{GeV}]$.

General parameters used for plotting: $v_\mathrm{w} = 0.7$, $T_* = 50.0 \, \mathrm{GeV}$ (when all points are plotted), $g_* = 106.75$.

Mission profile: Science Requirements Document (3 years)

This model has the following scenarios:

• Set 1: 2HDM points which are currently allowed both for Type I and Type II 2HDM. For Type II, these will be probed by the LHC in the future, while for Type I the LHC will not be able to exclude these benchmarks, depending on the value of $\tan\beta$ (which does not influence the strength of the PT). [plot scenario]
• Set 2: 2HDM points which are currently allowed for Type I 2HDM, but excluded for Type II 2HDM, by LHC searches. [plot scenario]

Full list of points:

[Show list of points]

[plot all points with these parameters]

Results for scenario: Set 2

NB: using $v_\mathrm{w} = 0.7$, $T_* = 50.0 \, \mathrm{GeV}$, $g_* = 106.75$.

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