Probe R-parity violating stop resonance at the LHeC

Abstract

We investigate the possibility of detecting single sqaurk production at the proposed LHeC collider, in the framework of R-parity violating supersymmetry. Taking advantage of the enhancement of the direct resonance production of squark and the distinctive kinematics distributions of $\tilde{q}\to lq$ two body decay final states, the LHeC provides excellent opportunities of probing R-violating $\hat{L}\hat{Q}\hat{D}$ interactions at unprecedented level compared to all the knowledge derived from indirect low energy nucleon measurements. If no apparent deviation from SM predictions on high invariant mass of muon and b-quark final states at the LHeC with 1$f{b}^{-1}$ data, the sensitivities on $\hat{L}\hat{Q}\hat{D}$ coupling constant ${\lambda }_{131}^{{}^{\prime }}\times {\lambda }_{233}^{{}^{\prime }}$ can be improved by nearly four orders, at energy scale about 100 GeV.

Comments: 9 pages, 8 figures