Reduction of couplings in the MSSM

TL;DR

This paper applies the reduction of couplings method to the MSSM, aiming to find RGI relations among gauge and Yukawa couplings, leading to predictions for tanβ and the light Higgs mass.

Contribution

It demonstrates the feasibility of deriving RGI relations among couplings in the MSSM and predicts a narrow tanβ window affecting Higgs mass calculations.

Findings

RGI relation between α₁ and α₂ gauge couplings established

Predicted narrow tanβ window consistent with Higgs mass constraints

Method shows potential for reducing free parameters in MSSM

Abstract

We present an application of the reduction of couplings program in the minimal supersymmetric Standard Model (MSSM). We investigate if a functional relation between $\alpha_1$ and $\alpha_2$ gauge couplings can be realized which is Renormalization Group Invariant (RGI). Following the same procedure for the top and bottom Yukawa couplings we end up with a prediction of a narrow window for tan$\beta$, which is one of the basic parameters that determine the light Higgs mass.