Resonant slepton production yields CMS eejj and e p Tjj excesses

Recent CMS searches for di-leptoquark production report local excesses of 2.4$\sigma$ in a $eejj$ channel and 2.6$\sigma$ in a $ejj$ missing $p_T$ channel. Here, we simultaneously explain both excesses with resonant slepton production in ${\mathcal R}-$parity violating supersymmetry (SUSY). We consider resonant slepton production, which decays to a lepton and a chargino/neutralino, followed by three-body decays of the neutralino/chargino via an $\mathcal{R}-$parity violating coupling. There are regions of parameter space which are also compatible at the 95% confidence level (CL) with a 2.8$\sigma$ $eejj$ excess in a recent CMS $W_R$ search, while being compatible with other direct search constraints. Phase-II of the GERDA neutrinoless double beta decay ($0\nu\beta\beta$) experiment will probe a sizeable portion of the good-fit region.