  Higgs production in association with a photon at hadron colliders is a rare
process, not yet observed at the LHC. We show that this process is sensitive to
significant deviations of Higgs couplings to first and second generation SM
quarks (particularly the up-type) from their SM values, and use a multivariate
neural network analysis to derive the prospects of the High Luminosity LHC to
probe deviations in the up and charm Higgs Yukawa couplings through $h +
\gamma$ production.
