Charms of Strongly Interacting Conformal Gauge Mediation

TL;DR

This paper introduces a novel gauge-mediated SUSY breaking model where multiple key parameters are unified under a single R-symmetry breaking scale, leveraging strong conformal dynamics to predict distinctive Higgs sector phenomenology.

Contribution

The model extends previous conformal gauge mediation frameworks to unify SUSY-breaking parameters and predicts testable Higgs signatures at the LHC.

Findings

Unified explanation for SUSY-breaking scale, messenger mass, and gravitino mass.

Predicted light second CP-even and CP-odd Higgs bosons with sizable production cross sections.

Suppressed Higgs B-term and large tanβ in the model.

Abstract

By extending a previously proposed conformal gauge mediation model, we construct a gauge-mediated SUSY breaking (GMSB) model where a SUSY-breaking scale, a messenger mass, the $\mu$-parameter and the gravitino mass in a minimal supersymmetric (SUSY) Standard Model (MSSM) are all explained by a single mass scale, a R-symmetry breaking scale. We focus on a low scale SUSY-breaking scenario with the gravitino mass $m_{3/2}=\mathcal{O}(1){\rm eV}$, which is free from the cosmological gravitino problem and relaxes the fine-tuning of the cosmological constant. Both the messenger and SUSY-breaking sectors are subject to a hidden strong dynamics with the conformality above the messenger mass threshold (and hence the name of the model "strongly interacting conformal gauge mediation"). In our model, the Higgs B-term is suppressed and a large $\tan\beta$ is predicted, resulting in the relatively light second CP-even Higgs and the CP-odd Higgs with a sizable production cross section. These Higgs bosons can be tested at future LHC experiments.