Reduction of Couplings in the MSSM

TL;DR

This paper explores renormalization group invariant relations in the MSSM to predict Higgs masses and the supersymmetric spectrum, offering a theoretical framework for understanding coupling relations and their phenomenological implications.

Contribution

It demonstrates the existence of RG-invariant relations among couplings in the MSSM and derives predictions for Higgs masses and the SUSY spectrum based on these relations.

Findings

Existence of RG-invariant relations among Yukawa and gauge couplings

Predictions for Higgs masses within the MSSM

Predictions for the supersymmetric particle spectrum

Abstract

In this paper, we first demonstrate the existence of renormalization group invariant relations among the top, bottom Yukawa and the gauge colour couplings in the minimal supersymmetric SM. Based on this observation and assuming furthermore the existence of a renormalization group invariant relation among the trilinear couplings in the superpotential and the soft supersymmetry breaking sector, we obtain predictions for the Higgs masses and the supersymmetric spectrum.