Feasibility Study of a Slow Moving Track Search at a 10 TeV Muon Collider

A future 10 TeV muon collider presents fantastic opportunities to search for new fundamental particles. This study focuses on the direct detection of charged long-lived particles (LLPs) via a time of flight measurement in the inner tracker, by identifying tracks that are more slowly moving than those of Standard Model particles. However, beam-induced background (BIB) from muon decays presents a challenge for accurately reconstructing tracks and serves as a potential source of out-of-time background. Presented here is a study of long-lived staus. Analysis of stau lifetime and mass gives insight into which constraints may be imposed to reject BIB while maintaining high efficiency for LLPs, and how to distinguish LLPs from Standard Model particles.