Abstract
Stringent experimental constraints have raised the lower limit on the masses of squarks to TeV levels, while compatibility with the mass of the Higgs boson provides an upper limit. This two-sided bound has lead to the emergence of Mini-Split theories where gauginos are not far removed from the electroweak scale while scalars are somewhat heavier. This small hierarchy modifies the spectrum of standard anomaly and gauge mediation, leading to Mini-Split deflected anomaly and gauge mediation models. In this paper, we study LHC constraints on these models and their prospects at LHC 14 and a 100 TeV collider. Current constraints on their parameter space come from ATLAS and CMS supersymmetry searches, the known mass of the Higgs boson, and the absence of a color-breaking vacuum. Prospects at LHC 14 and a 100 TeV collider are obtained from these same theoretical constraints in conjunction with background estimates. As would be expected from renormalization group effects, a slightly lighter third generation of squarks is assumed. Higgsinos have masses similar to those of the scalars and are at the origin of the deflection.
Highlights
The case of small μ was considered in [17] which provides future prospects for anomaly mediation in Mini-Split theories at a 100 TeV collider with light Higgsinos and applies these results to gauge and mirror mediation
The yellow band corresponds to the 1σ uncertainty on the gluino pair production cross-section and the purple bands are the forbidden region of color-breaking vacuum
The green band corresponds to the 1σ uncertainty on the gluino pair production cross-section for 300 fb−1, the yellow band corresponds to the 1σ uncertainty on the gluino pair production cross-section for 3000 fb−1, and the purple bands are the forbidden region of color-breaking vacuum
Summary
The case of small μ was considered in [17] which provides future prospects for anomaly mediation in Mini-Split theories at a 100 TeV collider with light Higgsinos (which minimizes the amount of deflection) and applies these results to gauge and mirror mediation. The purpose of this paper is to constrain the parameter space of Mini-Split models with deflected anomaly and gauge mediation using LHC data and to predict future exclusion and discovery prospects at LHC 14 and a future 100 TeV collider. The necessary theoretical elements are presented first This includes an explanation of how Mini-Split theories can arise in both anomaly and gauge mediation, as well as pole mass expressions and branching fractions. On the other hand gaugino masses are generated via terms of the form d2 θ
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