Infrared Quasi Fixed Points and Mass Predictions in the MSSM II: Large tan(beta) Scenario

TL;DR

This paper explores the infrared quasi fixed point solutions in the MSSM at large tan(beta), enabling predictions of Higgs and SUSY particle masses based on gauge couplings and third-generation masses.

Contribution

It introduces a method to predict Higgs and SUSY particle masses in the MSSM using IR quasi fixed points in the large tan(beta) regime, with minimal free parameters.

Findings

Predicted lightest Higgs mass around 128 GeV for μ>0

Predicted Higgs mass around 121 GeV for μ<0

Mass predictions depend primarily on the gluino mass parameter

Abstract

We consider the infrared quasi fixed point solutions of the renormalization group equations for the Yukawa couplings and soft supersymmetry breaking parameters in the MSSM in the \underline{large $\tan\beta$} regime. The existence of IR quasi fixed points together with the values of gauge couplings, third generation quarks, lepton and Z-boson masses allows one to predict masses of the Higgs bosons and SUSY particles as functions of the only free parameter, $m_{1/2}$, or the gluino mass. The lightest Higgs boson mass for $M_{SUSY} \approx 1$ TeV is found to be $m_h=128.2-0.4-7.1 \pm 5$ GeV for $\mu>0$ and $m_h=120.6-0.1-3.8 \pm 5$ GeV for $\mu<0$.