An Attractor for Natural Supersymmetry

TL;DR

This paper introduces an attractor mechanism within a supersymmetric model that naturally generates a minimal spectrum, flavor hierarchies, and the weak scale through a new gauge interaction and fixed point dynamics.

Contribution

It presents a novel attractor mechanism that dynamically produces a minimal supersymmetric spectrum and flavor hierarchies via a strongly interacting fixed point and a new SU(3) gauge group.

Findings

Dynamically generates a split-family natural spectrum.

Produces fermion mass hierarchies through fixed point dynamics.

Achieves a natural weak scale via gaugino mediation.

Abstract

We propose an attractor mechanism which generates the "more minimal" supersymmetric standard model from a broad class of supersymmetry breaking boundary conditions. The hierarchies in the fermion masses and mixings are produced by the same dynamics and a natural weak scale results from gaugino mediation. These features arise from augmenting the standard model with a new SU(3) gauge group under which only the third generation quarks are charged. The theory flows to a strongly interacting fixed point which induces a negative anomalous dimension for the third generation quarks and a positive anomalous dimension for the Higgs. As a result, a split-family natural spectrum and the flavor hierarchies are dynamically generated.