Fixed points in supersymmetric extensions of the Standard Model

Abstract

In this work, we are searching for supersymmetric extensions of the Standard Model (SM) of particle physics which are asymptotically safe. Such models are well-defined at all energy scales and provide hints for the scale at which supersymmetry gets broken. The combination of supersymmetry and asymptotic safety hereby turns out to strongly restrict the space of possible models. Within extensions of the minimal supersymmetric SM (MSSM), we perturbatively find candidates which all have a specific field content and low supersymmetry-breaking scales. For extensions of the MSSM with an extended gauge sector, we find models for which these scales appear at much larger energies. We then investigate whether the perturbatively found models are in agreement with non-perturbative results obtained from superconformal field theories. The exact supersymmetric Novikov-Shifman-Vainshtein-Zakharov beta functions suggest that these models are not asymptotically safe beyond perturbation theory. Finally, we present a model for which the non-perturbative results suggests that the SM can be UV-completed by this model. We also study perturbatively whether the fixed point needed for this UV-completion is physical.