Probing anomalous couplings in single Higgs production at future muon colliders
Shirin Chenarani · Sara Khatibi
Future multi-TeV muon colliders offer an ideal environment to probe physics beyond the Standard Model (SM) through high-precision measurements. In this work, we investigate the sensitivity to anomalous couplings within the dimension-six Standard Model Effective Field Theory (SMEFT) framework at and muon colliders. Focusing on single Higgs boson production---particularly through vector boson fusion---followed by the rare decay channel, we perform a comprehensive simulation using \textsc{MadGraph5\_aMC@NLO}, \textsc{Pythia}, and \textsc{Delphes} for fast detector response. To maximize signal sensitivity, we contrast a traditional cut-and-count methodology with a multi-bin Boosted Decision Tree (BDT) shape analysis, evaluated within a multi-bin statistical framework. Our most stringent projections are achieved using the multivariate BDT analysis at . Assuming an integrated luminosity of and a systematic uncertainty, we derive expected confidence level intervals of and . Notably, the bound on the coefficient is slightly tighter due to its larger cross-section enhancement, reaching . These results underscore the unique capability of high-energy muon colliders to constrain anomalous Higgs-gauge couplings.