  Axion-like particles (ALPs) and Higgs bosons can interact in scalar sectors
beyond the Standard Model, leading the Higgs boson to decay into pairs of
gluons and photons through the ALP interaction and giving rise to resonances in
the decay products of the process $h\to aa\to gg+\gamma\gamma$, resembling a
spectral lines analysis. We explore this signature to constrain an ALP
effective field theory formulation and show that the forthcoming runs of the
LHC will be capable to probe the ALP-Higgs interaction in the ALP mass range
from 0.5 to 60 GeV using an automatized search strategy that adapts to
different ALP masses in inclusive jets plus photons final states. Such
interaction can also be tested in mass regions where the two and four-photon
search channels are currently ineffective.
