Probing $L$-violating coupling via sbottom resonance production at the LHeC

Abstract

We investigate the resonant production of the lighter sbottom at the proposed Large Hadron Electron Collider and its subsequent decay into $e^- + jet$ final state, under the single coupling dominance hypothesis in the framework of the $R$-parity-violating minimal supersymmetric standard model. It is concluded that the LHeC running at the high electron beam energy configuration of $E_e = 150 {\rm GeV}$ would provide excellent opportunities to search for the sbottom resonance and probe the lepton-number-violating $\hat{L}\hat{Q}\hat{D}$ $\lambda^{\prime}_{113}$-type Yukawa interaction. With about $1 fb^{-1}$ integrated luminosity expected in $E_e = 150 {\rm GeV}$ $e^-p$ collision at the LHeC, either the lighter sbottom RPV resonance could be directly detected up to $1 {\rm TeV}$, or the $L$-violating coupling $\lambda^{\prime}_{113}$ could be constrained at an unprecedented level of precision compared with all the knowledge derived from indirect measurements.