SUSY Splits, But Then Returns

TL;DR

The paper investigates how accidental or emergent supersymmetry can arise in gauge theories with a strongly coupled sector and how this can be integrated with warped/composite Higgs frameworks to address the hierarchy problem. It develops a minimal RG analysis in the large-$N_{CFT}$ limit, links 4D dynamics to AdS/CFT via a warped extra dimension, and shows how a mass gap $\,\Lambda_{comp}$ can be generated while preserving partial SUSY at low energies. A key result is that the SUSY-breaking splittings among the couplings $g$, $\tilde{g}$, and $g_D^2$ can be driven toward a SUSY-like relation in the IR, with a calculable positive ${\gamma_D}$ that governs the flow, enabling a controlled coexistence of Split SUSY-like weak sectors and a strongly coupled SUSY-compliant strong sector. The work provides qualitative and quantitative prospects for a natural Higgs mass with a TeV-scale compositeness radius, and outlines distinctive collider signals such as heavy gauge bosons and KK-like composites, making the scenario testable at current or near-future colliders.

Abstract

We study the phenomenon of accidental or "emergent" supersymmetry within gauge theory and connect it to the scenarios of Split Supersymmetry and Higgs compositeness. Combining these elements leads to a significant refinement and extension of the proposal of Partial Supersymmetry, in which supersymmetry is broken at very high energies but with a remnant surviving to the weak scale. The Hierarchy Problem is then solved by a non-trivial partnership between supersymmetry and compositeness, giving a promising approach for reconciling Higgs naturalness with the wealth of precision experimental data. We discuss aspects of this scenario from the AdS/CFT dual viewpoint of higher-dimensional warped compactification. It is argued that string theory constructions with high scale supersymmetry breaking which realize warped/composite solutions to the Hierarchy Problem may well be accompanied by some or all of the features described. The central phenomenological considerations and expectations are discussed, with more detailed modelling within warped effective field theory reserved for future work.