Multi-TeV Scalars are Natural in Minimal Supergravity

TL;DR

This paper shows that in minimal supergravity models, all scalar particles can naturally have masses well above 1 TeV, making them potentially undetectable at the LHC, due to focus point renormalization group effects.

Contribution

It demonstrates that large scalar masses are natural in minimal supergravity with universal scalar mass, emphasizing the role of focus point behavior and parameter choices.

Findings

Scalar masses above 1 TeV are natural in minimal supergravity.

Focus point RG behavior explains the heavy scalar masses.

Heavy scalars may be beyond LHC detection capabilities.

Abstract

For a top quark mass fixed to its measured value, we find natural regions of minimal supergravity parameter space where all squarks, sleptons, and heavy Higgs scalars have masses far above 1 TeV and are possibly beyond the reach of the Large Hadron Collider at CERN. This result is simply understood in terms of ``focus point'' renormalization group behavior and holds in any supergravity theory with a universal scalar mass that is large relative to other supersymmetry breaking parameters. We highlight the importance of the choice of fundamental parameters for this conclusion and for naturalness discussions in general.