  In this work we study the high-energy Higgs boson phenomenology associated to
the non-metricity scale $\Lambda_Q$ at the LHC. Non-metricity is present in
more generic non-Riemannian geometries describing gravity beyond General
Relativity and exhibits nice features in astronomy and cosmology, and it can be
analysed perturbatively. Using effective field theory tools, we calculate the
new physics contributions to the one-loop $H\to\gamma\gamma$ and $gg\to H$
processes and, together with previous bounds from Compton scattering, we obtain
relevant constraints and correlations in the model's parameter space. This can
help us take a step further, and no longer associate gravitational effects
uniquely to astronomical phenomena, and to start analysing these effects by
means of high energy experiments. In turn, this could also help us get a better
grasp at quantum phenomena associated to gravity.
