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R-Parity-Violating Supersymmetry

Supersymmetric extensions of the SM typically conserve a quantum number known as R-Parity, written as \(R_p = (−1)^{3B+L+2S}\). This has the effect of suppressing proton decay, excluding the single production of supersymmetric particles, and ensuring the stability of the lightest SUSY particle (LSP). However, the most general SUSY lagrangian allows R-Parity violating (RPV) terms; subsets of these terms can be included in a model without inducing unacceptably high rates of proton decay. RPV superymmetric models retain many of the theoretical motivations of supersymmetry (and may in some cases even retain a viable Dark Matter candidate). However, R-Parity violation in general can change the collider phenomenology significantly. For example in many cases the LSP decay removes the typical missing momentum signatures upon which many collider searches rely. For this reason the phenomenology of RPV models has been studied at past colliders (see for example [66][111][190]) and is currently a topic of interest at the LHC [167], perhaps especially as more conventional SUSY searches continue to draw blanks.