Searches for supersymmetry in resonance production, R-parity violating signatures and events with long-lived particles with the ATLAS detector

SUSY relates fermionic and bosonic degrees of freedom.In the generic superpotential, Yukawa couplings can lead to baryon and lepton number violation: \vspace{-0.2cm} $$ \mathcal{W}_{\textrm {RPV}} = \lambda_{ijk}L_iL_j\bar{E}_k+\lambda'_{ijk}L_i\bar{Q}_j\bar{D}_k+\lambda''_{ijk}\bar{U}_i\bar{D}_j\bar{D}_k + \kappa_iL_iH_u $$ which can be called $R$-parity violating (RPV) couplings. This family of models leads to unique collider signatures which would elude conventional searches for $R$-parity conserving SUSY. Other implementary searches for SUSY will be the long-lived particles since lots of BSM models have predicted their existence. Decades of searches for SUSY have set severe constraints on the masses of promptly decaying particles. Searches targeting the more challenging experimental signatures of new long-lived particles (LLPs) have therefore become increasingly important and must be pursued at the LHC.