How Many Supersymmetries?

TL;DR

This paper explores how to determine the number of supersymmetries in gauge theories, proposing a method to distinguish between N=1 and N=2 supersymmetry at the LHC by analyzing jet and lepton counts.

Contribution

It introduces an experimental procedure to identify the number of supersymmetries by analyzing event signatures, specifically jet multiplicities and leptons, to differentiate N=1 from N=2 supersymmetry.

Findings

Squarks could be as light as a few hundred GeV under N=2 supersymmetry.

A counting method based on jet and lepton multiplicities can distinguish N=1 from N=2.

The proposed method provides a new way to analyze supersymmetry at the LHC.

Abstract

Supersymmetry in the gauge sector could be realized as N=1 or N=2 Supersymmetry, but the current LHC searches assume an N=1 realization. In this paper we show that squarks could be as light as few hundreds of GeV for N=2. We also describe an experimental procedure to count the number of supersymmetries, i.e. to distinguish between N=1 and N=2 supersymmetry, based on counting bins with different jet multiplicities and number of leptons.