  Solutions to the hierarchy problem usually require top partners. In standard
SUSY or composite Higgs theories, the partners carry SM color and are becoming
increasingly constrained by LHC searches. However, theories like Folded SUSY
(FS), Twin Higgs (TH) and Quirky Little Higgs (QLH) introduce uncolored top
partners, which can be SM singlets or carry electroweak charge. Their small
production cross section left doubt as to whether the LHC can effectively probe
such scenarios. Typically, these partners are charged under their own mirror
color gauge group. In FS and QLH, the absence of light mirror matter allows
glueballs to form at the bottom of the mirror spectrum. This is also the case
in some TH realizations. The Higgs can decay to these mirror glueballs, with
the glueballs decaying into SM particles with potentially observable lifetimes.
We undertake the first detailed study of this glueball signature and
quantitatively demonstrate the discovery potential of uncolored naturalness via
exotic Higgs decays at the LHC and a potential future 100 TeV collider. Our
findings indicate that mirror glueballs are the smoking gun signature of
natural FS and QLH type theories, in analogy to tree-level Higgs coupling
shifts for the TH. We show that glueball masses in the $\sim$ 10-60 GeV mass
range are theoretically preferred. Careful treatment of lifetime,
mirror-hadronization and nonperturbative uncertainties is required to perform
meaningful collider studies. We outline several new search strategies for
exotic Higgs decays of the form $h\to XX \to 4f$ at the LHC, with $X$ having
lifetimes in the $10 \mu m$ to $km$ range. We find that FS stops can be probed
with masses up to 600 (1100) GeV at the LHC with 300 (3000) /fb of data, and TH
top partners could be accessible with masses up to 900 (1500) GeV. This makes
exotic Higgs decays the prime discovery channel for uncolored naturalness at
the LHC.

High Energy Physics - Phenomenology;High Energy Physics - Experiment