Yukawa Unification and Sparticle Spectroscopy in Gauge Mediation Models

TL;DR

This paper investigates how Yukawa coupling unification constrains the parameter space and sparticle masses in minimal gauge mediated supersymmetry breaking models, predicting heavy Higgs and sparticles but a light gravitino as a dark matter candidate.

Contribution

It provides the first detailed analysis of Yukawa unification effects on sparticle spectra and dark matter in mGMSB models, with specific mass predictions and collider test prospects.

Findings

CP-odd Higgs mass > 1 TeV

Colored sparticles > 3 TeV

Light gravitino < 30 eV, dark matter candidate

Abstract

We explore the implications of t-b-tau (and b-tau) Yukawa coupling unification condition on the fundamental parameter space and sparticle spectroscopy in the minimal gauge mediated supersymmetry breaking (mGMSB) model. We find that this scenario prefers values of the CP-odd Higgs mass m_A > 1 TeV, with all colored sparticle masses above 3 TeV. These predictions will be hard to test at LHC13 but they may be testable at HE-LHC 33 TeV or a 100 TeV collider. Both t-b-tau and b-tau Yukawa coupling unifications prefer a relatively light gravitino with mass < 30 eV, which makes it a candidate hot dark matter particle. However, it cannot account for more than 15 % of the observed dark matter density.