# Studying gaugino masses in supersymmetric model at future 100 TeV $pp$ collider

## TL;DR

This paper explores the potential of a future 100 TeV proton-proton collider to study gaugino masses in supersymmetric models, focusing on long-lived charged Winos and their detection via pixel detector tracks.

## Contribution

It demonstrates the feasibility of precise gaugino mass measurements at the FCC, especially for models with long-lived charged Winos, and links these measurements to fundamental parameters like gravitino mass.

## Key findings

- Charged Wino tracks can be identified using pixel detectors.
- Precise mass measurements of Bino, Wino, and gluino are achievable.
- Chargino decay length of ~6 cm aids in background discrimination.

## Abstract

We discuss prospects of studying supersymmetric model at future $pp$ circular collider (FCC) with its centre-of-mass energy of $\sim 100\ {\rm TeV}$. We pay particular attention to the model in which Wino is lighter than other supersymmetric particles and all the gauginos are within the kinematical reach of the FCC, which is the case in a large class of so-called pure gravity mediation model based on anomaly mediated supersymmetry breaking. In such a class of model, charged Wino becomes long-lived with its decay length of $\sim 6\ {\rm cm}$, and the charged Wino tracks may be identified in particular by the inner pixel detector; the charged Wino tracks can be used not only for the discrimination of standard model backgrounds but also for the event reconstructions. We show that precise determinations of the Bino, Wino, and gluino masses are possible at the FCC. For such measurements, information about the charged Wino tracks, including the one about the velocity of the charged Wino using the time of the hit at the pixel detector, is crucial. With the measurements of the gaugino masses in the pure gravity mediation model, we have an access to more fundamental parameters like the gravitino mass.