The major merger--active galactic nucleus connection up to cosmic noon

Galaxy major mergers are a potential mechanism for triggering active galactic nuclei (AGN) activity, but their role remains debated, particularly beyond the local Universe. We aim to shed light on the merger--AGN connection at z=0. 5--2, exploiting the multi-wavelength datasets and James Webb Space Telescope (JWST) observations in the COSMOS field. We construct a stellar mass-limited sample and identify AGN via mid-infrared (MIR) colours, X-ray detections, and spectral energy distribution (SED) fitting. We train convolutional neural networks to identify mergers with mock JWST observations. We create non-AGN and non-merger control samples matching the redshift, stellar mass, and star formation rate distributions of the AGN and mergers. We find AGN to be somewhat more frequent in mergers than in non-mergers, with excess ratios ranging from sim2. 5 (X-ray AGN) to sim1. 3 (MIR) and ∼ 1. 1--1. 2 (SED AGN). Similarly, AGN galaxies show a higher merger fraction (f_̊m merg) than non-AGN controls. We then study f_̊m merg as a function of relative and absolute AGN power, utilising the AGN fraction (f_̊m AGN) and accretion disc luminosity (Ldisc) parameters. We uncover a f_̊m merg--f_̊m AGN relation with two regimes: f_̊m merg stays roughly flat for less-dominant AGN (f_ ̊m AGN 0. 8 for the MIR and X-ray AGN, and more gently for SED AGN, where mergers appear to be the main triggering mechanism. Additionally, f_̊m merg increases monotonically as a function of Ldisc, for all AGN types, reaching f_ ̊m merg >50% for the most luminous AGN (L_ disc ≳ 10^ 46 -1). Overall, our results suggest that major mergers can trigger AGN out to cosmic noon at z Furthermore, the role of major mergers shows a clear dependence on AGN luminosity and remains the principal mechanism for fuelling the most powerful AGN.