Sensitivity to longitudinal vector boson scattering in W±W±jj at future hadron colliders

Vector boson scattering (VBS) is a key probe of electroweak symmetry breaking and the non-

Abelian gauge structure of the Standard Model. The unitarity of longitudinally polarized VBS

amplitudes at high energies relies on Higgs boson interactions, and deviations from predictions

could signal new physics. This study examines the sensitivity to longitudinal VBS in same-sign

W^±W^±jj production at future hadron colliders with center-of-mass energies of 27, 50, and 100

TeV. We focus on distinguishing between W_LW_L, W_LW_T , and W_T W_T polarization states to improve

measurement precision.

Monte Carlo simulations are performed using MADGRAPH5 aMC@NLO with detector effects

simulated via Delphes. A Boosted Decision Tree (BDT) approach enhances signal-background

separation and polarization discrimination. Our findings indicate that the purely longitudinal W_LW_L

cross-section can be measured with relative uncertainties of 22% at 27 TeV, 21% at 50 TeV, and

15% at 100 TeV. These results highlight the potential for precision VBS studies at next-generation

colliders and their role in testing the Standard Model and searching for new physics.