Least constrained supersymmetry with $R$-parity violation

The strong constraints on the R-parity conserving supersymmetry (SUSY) from the LHC searches motivate us to consider the new models in which the low-scale SUSY is still allowed. We propose a kind of R-parity violating SUSY scenario with a nonzero $U_2^c{D}_2^c{D}_3^c$ operator. Three relevant LHC searches are recast to test the status of this scenario in terms of four simplified models, with either light stop-Bino, stop-Higgsino, sbottom-Bino, or sbottom-Higgsino. Some difficult scenarios for the LHC SUSY searches in these simplified models are identified. By extrapolating the current LHC searches to the future 14 TeV LHC with integrated luminosity of $3000{\mathrm{fb}}^{-1}$, the stop/sbottom masses in all scenarios can be probed up to $\sim 800–1100\mathrm{GeV}$.

Figure 1

Bottom squark production cross section at 8, 13, and 14 TeV proton-proton collider.

Figure 2

Top squark decays channels in our simplified models.

Figure 3

Left panel: bounds on the $\tilde{t}-\tilde{B}$ simplified model. Right panel: bounds on the $\tilde{t}-\tilde{H}$ simplified model. The green and red contours correspond to exclusion limits with $R^{\max }=1.0$ and $R^{\max }=1.5$. The most sensitive analysis at each grid is indicated by the point colors. Points with the colors of pink, blue, and grey correspond to the analyses in Refs. [16, 19, 54], respectively.

Figure 4

Bounds on the $\tilde{b}-\tilde{B}$ simplified model with $\mathrm{Br}(\tilde{b}\to cs)=100\%$ (left) and $\mathrm{Br}(\tilde{b}\to b{\tilde{\chi }}^0)=100\%$ (right). The lines and point styles are same with Fig. 3.

Figure 5

Bounds on the $\tilde{b}-\tilde{H}$ simplified model with $\mathrm{Br}(\tilde{b}\to cs)=0\%$ (left) and $\mathrm{Br}(\tilde{b}\to cs)=50\%$ (right). The lines and point styles are the same as Fig. 3. In the right panel, $R^{\max }$ values are always less than 1.5, so the contours of $R^{\max }=0.5$ and $R^{\max }=1.0$ are presented.

Figure 6

Expected signal reaches at 14 TeV LHC with an integrated luminosity of $3000{\mathrm{fb}}^{-1}$. The exclusion limits for four cases that are weakly constrained by the current LHC searches are given. The lines and point styles are the same as Fig. 3. In addition, the corresponding bounds with and without the signal uncertainty of 20% are indicated by solid and dashed line, respectively.