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Supersymmetry (SUSY) with a long-lived stau is an attractive scenario in theLHC experiments because one can directly observe stau tracks in each SUSYevent, and thus precise measurements of SUSY particle masses are possible. Inthis scenario, we discuss the possibility to observe/measure parity violationin interactions among SUSY particles. Such a measurement will be important indetermining spins and chiralities of SUSY particles. We use the last step ofthe cascade-decay chain: $\chi^0\to\tilde\tau\tau\to\tilde\tau(l\nu\bar\nu)$,where the polarization of the tau lepton can be determined statistically bylooking at the energy distribution of the final state lepton. Comparing withthe theoretical formula of the neutralino differential decay width, one canextract the size of parity violation in the interaction vertices among thestau, the tau lepton and the neutralino. We perform a Monte Carlo simulation tosee if the effect is visible at the LHC experiments.

Tau polarization measurements at the LHC in supersymmetric models with a long-lived stau