Stau as the lightest supersymmetric particle in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-parity violating supersymmetric models: Discovery potential with early LHC data

We investigate the discovery potential of the LHC experiments for $R$-parity violating supersymmetric models with a stau as the lightest supersymmetric particle (LSP) in the framework of minimal supergravity. We classify the final states according to their phenomenology for different $R$-parity violating decays of the LSP. We then develop event selection cuts for a specific benchmark scenario with promising signatures for the first beyond the standard model discoveries at the LHC. For the first time in this model, we perform a detailed signal over background analysis. We use fast detector simulations to estimate the discovery significance taking the most important standard model backgrounds into account. Assuming an integrated luminosity of $1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ at a center-of-mass energy of $\sqrt{s}=7\text{ }\text{ }\mathrm{TeV}$, we perform scans in the parameter space around the benchmark scenario we consider. We then study the feasibility to estimate the mass of the stau LSP. We briefly discuss difficulties, which arise in the identification of hadronic tau decays due to small tau momenta and large particle multiplicities in our scenarios.