Multiple solutions in supersymmetry and the Higgs 1 B. C. Allanach 1DAMTP, CMS, Wilberforce Road, University of rspa.royalsocietypublishing.org Cambridge, Cambridge, CB3 0WA, United Kingdom Weak-scale supersymmetry is a well motivated, if Research speculative, theory beyond the Standard Model of particle physics. It solves the thorny issue of the Higgs mass, namely: how can it be stable to quantum 15 corrections, when they are expected to be 10 Article submitted to journal times bigger than its mass? The experimental signal of the theory is the production and measurement of supersymmetric particles in the Large Hadron Subject Areas: Collider experiments. No such particles have been Physics, Particle Physics, seen to date, but hopes are high for the impending Mathematics run in 2015. Searches for supersymmetric particles can be difficult to interpret. Here, we shall discuss Keywords: the fact that, even given a well defined model of MSSM, technical hierarchy problem, supersymmetry breaking with few parameters, there can be multiple solutions. These multiple solutions constrained minimal supersymmetric are physically different, and could potentially mean standard model that points in parameter space have been ruled out by interpretations of LHC data when they shouldn’t Author for correspondence: have been. We shall review the multiple solutions B. C. Allanach and illustrate their existence in a universal model of e-mail: supersymmetry breaking.
[email protected] 1. Introduction to Supersymmetry The recent discovery of the Higgs boson of mass 125- 126 GeV at the Large Hadron Collider experiments [1, 2] introduces a new problem: the technical hierarchy problem.