Aspects of Supersymmetry after LHC Run I

TL;DR

This paper reviews the status of supersymmetry after LHC Run I, focusing on the Compact Supersymmetry and Dirac Next-to-MSSM models, analyzing their viability given experimental constraints.

Contribution

It provides a detailed analysis of two supersymmetric models in light of LHC results, highlighting their potential to address current experimental challenges.

Findings

Compact Supersymmetry remains viable under current LHC limits.

Dirac Next-to-MSSM offers alternative solutions compatible with data.

Supersymmetry models require adjustments to fit Higgs mass and collider constraints.

Abstract

Supersymmetry is a prime candidate for physics beyond the Standard Model because low-energy supersymmetry stabilizes the Higgs mass avoiding fine-tuning and leads to natural electroweak symmetry breaking. However, searches at the Large Hadron Collider (LHC) for supersymmetric particles have not found any signal and give strong limits on mass of gluino and squark. Also, the observed Higgs mass of 125 GeV is not easily accommodated in the minimal supersymmetric Standard Model (MSSM) where one has to rely on the radiative corrections to boost the Higgs mass accompanied with fine-tuning. I study aspects of supersymmetry in light of these LHC results. In this thesis, I focus on the Compact Supersymmetry model based on arXiv:1206.4993 and the Dirac Next-to-MSSM based on arXiv:1308.0792 and investigate them in more detail.