Superheavy Supersymmetry from Scalar Mass--A Parameter Fixed Points

TL;DR

This paper demonstrates that in supersymmetric models, a natural hierarchy of scalar masses can be dynamically generated through renormalization group evolution, alleviating naturalness constraints while maintaining consistency with grand unification.

Contribution

It introduces a mechanism for dynamically generating a scalar mass hierarchy in supersymmetry via fixed points in renormalization group flow.

Findings

A hierarchy of scalar masses can be achieved from high-scale conditions.

The mechanism is compatible with grand unification.

It supports moduli-dominated supersymmetry-breaking scenarios.

Abstract

In supersymmetric models, the well-known tension between naturalness and experimental constraints is relieved if the squarks and sleptons of the first two generations are superheavy, with masses of order 10 TeV, and all other superpartners are light, with masses of order 1 TeV. We show that even if all scalar masses and trilinear A parameters are of order 10 TeV at some high scale, a mass-squared hierarchy of order 400 may be generated dynamically through renormalization group evolution. The required high energy relations are consistent with grand unification, or, alternatively, may be realized in moduli-dominated supersymmetry-breaking scenarios.