  We study the interactions of Axion-Like Particles (ALPs) with the Standard
Model particles, aiming to probe their phenomenology via non-resonant searches
at the LHC. These interactions are mediated by higher dimensional effective
operators within two possible frameworks of linearly and non-linearly realised
electroweak symmetry breaking. We consider the ALPs to be light enough to be
produced on-shell and exploit their derivative couplings with the SM Higgs
boson and the gauge bosons. We will use the high momentum transfer processes,
namely $hZ, Z\gamma, WW$ and $WW\gamma$ production from $pp$ collisions. We
derive upper limits on the gauge-invariant interactions of ALPs with the
electroweak bosons and/or Higgs boson that contribute to these processes, from
the re-interpretation of the latest Run 2 available LHC data. The constraints
we obtain are strong for ALP masses below 100 GeV. These allowed effective
interactions in the ALP parameter space yield better significance at HL-LHC and
thus, offer promising avenues for subsequent studies. Furthermore, we augment
our cut-based analysis with gradient-boosted decision trees, which improve the
statistical significance distinctly across these interaction channels. We
briefly compare the results with the complementary probe of these couplings via
direct production of ALPs in association with the Higgs boson or a vector
boson.
