(O)Mega Split

TL;DR

This paper explores the Fake Split Supersymmetry Model (FSSM), demonstrating it can reproduce the Higgs mass at high supersymmetry scales, with relaxed constraints allowing for a very high 'Mega Split' spectrum compatible with dark matter and cosmological bounds.

Contribution

It introduces and analyzes the FSSM, showing it can achieve high supersymmetry scales with minimal RG constraints, unlike traditional Split Supersymmetry.

Findings

FSSM can reproduce the Higgs mass at high supersymmetry scales.

Renormalisation group running minimally constrains the model.

The model is compatible with dark matter relic abundance and cosmological constraints.

Abstract

We study two realisations of the Fake Split Supersymmetry Model (FSSM), the simplest model that can easily reproduce the experimental value of the Higgs mass for an arbitrarily high supersymmetry scale, as a consequence of swapping higgsinos for equivalent states, fake higgsinos, with suppressed Yukawa couplings. If the LSP is identified as the main Dark matter component, then a standard thermal history of the Universe implies upper bounds on the supersymmetry scale, which we derive. On the other hand, we show that renormalisation group running of soft masses above the supersymmetry scale barely constrains the model - in stark contrast to Split Supersymmetry - and hence we can have a "Mega Split" spectrum even with all of these assumptions and constraints, which include the requirements of a correct relic abundance, a gluino life-time compatible with Big Bang Nucleosynthesis and absence of signals in present direct detection experiments of inelastic dark matter. In an appendix we describe a related scenario, Fake Split Extended Supersymmetry, which enjoys similar properties.