Searching for supersymmetry and its avatars

TL;DR

This paper reviews the motivations for searching for supersymmetry, including theoretical and phenomenological reasons, and discusses various experimental approaches and recent developments in detecting supersymmetric signatures at the LHC and beyond.

Contribution

It provides a comprehensive overview of the motivations, emerging concepts, and novel experimental signatures for supersymmetry searches, highlighting recent advances and potential new avenues.

Findings

LHC Run 1 provided new motivations for supersymmetry.

Emergent supersymmetry observed in topological insulators.

Long-lived charged particles are promising signatures for future searches.

Abstract

{\it Why continue looking for supersymmetry?} Over and above the aesthetic and theoretical motivations from string theory, there are several longstanding phenomenological motivations for TeV-scale supersymmetry such as the electroweak scale, and the lightest supersymmetric particle (LSP) as cold dark matter. Run~1 of the LHC has actually provided three extra motivations, namely the stabilization of the electroweak vacuum, and successful predictions for the Higgs mass and couplings. {\it How to look for it?} There are several examples of emergent supersymmetry, the most recent being on the surfaces of topological insulators, and some sort of effective supersymmetry could be useful for boosting the power of laser arrays. At the LHC, attention is moving towards signatures that had previously been neglected, such as long-lived charged particles - which might be an opportunity for the MoEDAL experiment.