# The Pati-Salam Supersymmetric SM (PSSSM)

## TL;DR

This paper explores a Pati-Salam supersymmetric extension of the Standard Model derived from E6 GUTs, analyzing its low-energy spectrum and LHC phenomenology of exotic particles using advanced computational methods.

## Contribution

It introduces a systematic MCMC approach to scan the high-dimensional parameter space of the Pati-Salam SUSY model and studies its collider signatures.

## Key findings

- Unification achieved below the Planck scale.
- First LHC phenomenology results for leptoquarks and leptoquarkinos.
- Development of a new computational framework for spectrum calculation.

## Abstract

Grand Unified Theories based on an E6 gauge group embed all Higgs- and matter fields within one 27 dimensional fundamental representation. In addition each 27 contains a right handed neutrino, an NMSSM-like standard model singlet and a pair of exotic particles, that couple quarks to leptons. The extended particle content spoils simple gauge unification as in the MSSM. By embedding the SM into a Pati-Salam gauge group above 10^16 GeV, one obtains a unification below the Planck-scale. We present a Markov chain Monte-Carlo algorithm to systematically scan the high dimensional parameter space and calculate low-energy spectra, as well as first results of our studies of the LHC phenomenology of leptoquarks and leptoquarkinos with the event generator WHIZARD.