Non-Holomorphic Impact on $t-b-\tau$ Yukawa Unification in minimal GMSB

TL;DR

This paper investigates the low-scale implications of Yukawa unification in minimal GMSB models with non-holomorphic terms, predicting light charginos and staus that can be tested in upcoming experiments.

Contribution

It introduces the effects of non-holomorphic terms on Yukawa unification and explores their testable low-scale phenomenological consequences in minimal GMSB models.

Findings

Light charginos can be as light as 120 GeV and are degenerate with neutralinos.

Solutions include a relatively lighter electroweak sector compatible with Higgs mass constraints.

Some solutions predict staus as light as 600 GeV, testable via lifetime analyses.

Abstract

We study and explore the low scale implications of Yukawa unification in the minimal gauge mediated supersymmetry breaking models. We also assume non-zero non-holomorphic terms, with which the YU solutions can be accommodated in the cases with $\mu > 0$. These results can be considered a direct effect from the non-holomorphic terms, but they also lead to testable low scale implications compatible with YU. We observe abundant solutions consistent with the Higgs boson mass. This constraint leads to heavy strongly interacting supersymmetric particles, while the electroweak sector can be realized relatively lighter and they can be probed by several experiments. We find that the chargino can be lighter than 1 TeV and it is degenerate with the lightest neutralino in most of such solutions. Consistent solutions in this region can accommodate charginos as light as about 120 GeV, and they will be tested more likely soon by the analyses over the compressed spectra. These solutions are also be subjected in the lifetime analyses. Our analyses identify such light charginos decaying in about $10^{-2}$ ns. Probing such points may need a slight improvement in sensitivity of the analyses, and one can expect them to be tested very soon. In the same region, stau is realized to be another light supersymmetric particle, and some of the solutions can be inconsistently lighter. We find that it can weigh as light as about 600 GeV consistently, and it can be tested also soon over its lifetime. We summarize and also exemplify our findings with five benchmark scenarios. Most of the benchmark solutions also reveal that the solutions can be tested in heavy Higgs boson searches, which shape the whole Higgs boson spectrum in models.