Natural Supersymmetry without Light Higgsinos

TL;DR

This paper proposes a mechanism for achieving a large Higgsino mass without significant fine-tuning by utilizing the pseudo Nambu-Goldstone boson nature of the Higgs, leading to a natural supersymmetric model with heavy Higgsinos.

Contribution

It introduces a novel approach where the Higgs is a PNGB of SO(5) symmetry breaking, allowing heavy Higgsinos without increasing fine-tuning, differing from traditional composite Higgs models.

Findings

Higgsino mass can be large without fine-tuning due to PNGB nature of Higgs.

The model predicts heavy Higgsinos while maintaining naturalness.

Compatibility with Higgs measurements requires 10% level cancellations.

Abstract

We present a mechanism that allows a large Higgsino mass without large fine-tuning. The Higgs is a pseudo Nambu-Goldstone boson (PNGB) of the global symmetry breaking pattern $SO(5) \to SO(4)$. Because of the PNGB nature of the light Higgs, the $SO(5)$ invariant Higgsino mass does not directly contribute to the Higgs mass. Large couplings in the Higgs sector that spontaneously breaks $SO(5)$ minimize the tuning, and are also motivated by the requirements of generating a sufficiently large Higgs quartic coupling and of maintaining a natural approximate global $SO(5)$ symmetry. When these conditions are imposed, theories of this type predict heavy Higgsinos. This construction differs from composite Higgs models in that no new particles are introduced to form complete $SO(5)$ multiplets involving the top quark---the stop is the only top partner. Compatibility with Higgs coupling measurements requires cancelations among contributions to the Higgs mass squared parameter at the 10% level. An important implication of this construction is that the compressed region of stop and sbottom searches can still be natural.