Inverted Sparticle Hierarchies from Natural Particle Hierarchies

TL;DR

This paper explores a model where a strongly coupled conformal sector dynamically generates fermion mass hierarchies and breaks supersymmetry, resulting in an inverted superpartner mass hierarchy with potential solutions to flavor and hierarchy problems.

Contribution

It proposes a novel framework where the same conformal sector explains fermion hierarchies and supersymmetry breaking, leading to an inverted superpartner spectrum with reduced fine-tuning.

Findings

First two generation squarks and sleptons are much heavier than others.

Fine-tuning can be made milder than one percent with natural assumptions.

The model addresses flavor constraints while solving the hierarchy problem.

Abstract

A possible resolution of the flavor puzzle is that the fermion mass hierarchy can be dynamically generated through the coupling of the first two generation fields to a strongly coupled sector, which is approximately conformally invariant and leads to large anomalous dimensions for the first two generation fields over a large range of energies. We investigate the possibility of using the same sector to also break supersymmetry. We show that this automatically gives an "inverted hierarchy" in which the first two generation squarks and sleptons are much heavier than the other superpartners. Implementing this construction generically requires some fine-tuning in order to satisfy the constraints on flavor-changing neutral currents at the same time as solving the hierarchy problem. We show that this fine-tuning can be reduced to be milder than the percent level by making some technically natural assumptions about the form of the strongly coupled sector and its couplings to the standard model.