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

TL;DR

This paper explores measuring tau polarization at the LHC in supersymmetric models with a long-lived stau to determine parity violation and SUSY particle properties through Monte Carlo simulations.

Contribution

It introduces a method to measure parity violation in SUSY interactions using tau polarization in cascade decays at the LHC.

Findings

Tau polarization effects are potentially observable at the LHC.

The method can distinguish parity-violating interactions in SUSY.

Simulation results support feasibility of the measurement.

Abstract

Supersymmetry (SUSY) with a long-lived stau is an attractive scenario in the LHC experiments because one can directly observe stau tracks in each SUSY event, and thus precise measurements of SUSY particle masses are possible. In this scenario, we discuss the possibility to observe/measure parity violation in interactions among SUSY particles. Such a measurement will be important in determining spins and chiralities of SUSY particles. We use the last step of the 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 by looking at the energy distribution of the final state lepton. Comparing with the theoretical formula of the neutralino differential decay width, one can extract the size of parity violation in the interaction vertices among the stau, the tau lepton and the neutralino. We perform a Monte Carlo simulation to see if the effect is visible at the LHC experiments.