Deconstructing Gaugino Mediation

TL;DR

This work presents a renormalizable four-dimensional realization of gaugino mediation using a two-site deconstructed gauge chain that separates SUSY breaking from MSSM matter. At the messenger scale $M$ hidden gauginos acquire mass $m_{1/2}^{hid} = \frac{\alpha_{hid}}{4\pi}\frac{F}{M}$ and, after the chain breaks at scale $v$ to the diagonal MSSM, MSSM gaugino masses follow $m_i = \frac{\alpha_i}{4\pi}\frac{F}{M}$ with MSSM scalar masses suppressed and generated mainly through RG running. Threshold corrections at the breaking scale $v$ are subleading, and gauge coupling unification is preserved with the unification scale remaining at $M_{GUT} \approx 2\times 10^{16}$ GeV. The model yields a gravitino LSP and a phenomenology with relatively light gauginos and sleptons, potentially aligning with muon $g-2$ hints while avoiding brane setups or moduli problems.

Abstract

We present a model of supersymmetry breaking which produces gaugino masses and negligible scalar masses at a high scale. The model is inspired by ``deconstructing'' or ``latticizing'' models in extra dimensions where supersymmetry breaking and visible matter are spatially separated. We find a simple four-dimensional model which only requires two lattice sites (or gauge groups) to reproduce the phenomenology.

Figures (2)

• Figure 1: A schematic diagram of the model. Circles represent gauge groups, lines fields charged under these gauge groups. The cross represents the sector where supersymmetry is dynamically broken.
• Figure 2: Loop contributions to the MSSM soft scalar masses, (a) above the scale $v$, and (b) below that scale. The black dot represents an insertion of the SUSY violating gaugino wave function operator, Eq. (\ref{['blob']}).