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This note presents the prospects of searches for new heavy resonancesdecaying to diboson (WW) and measurements of electroweak WW/WZ production viavector boson scattering (VBS) in association with a high-mass dijet system inthe $\ell\nu qq$ final states ($W\to\ell\nu$, $W/Z\to qq$). The prospects arepresented for an integrated luminosity of 15 ab$^{-1}$ of proton-proton ($pp$)collisions at $\sqrt{s}=27$ TeV with an ATLAS-like detector simulated in theDelphes framework. The cross-section measurement of the electroweak $WW/WZ$production in VBS processes is expected to reach the precision of $\sim$2-3\%,improving the expected accuracy at the HL-LHC by a factor of 2. Prospects arepresented also for the separation of the longitudinal component of theelectroweak $WW/WZ$ production, showing the expected significance of$\sim3\sigma$ is reached with 3 ab$^{-1}$ for the single $\ell \nu qq$ channeland $\sim5\sigma$ for all the semi-leptonic channels combined. The dibosonresonance searches are interpreted for sensitivity to a simplifiedphenomenological model with a heavy gauge boson. With 15 ab$^{-1}$ of $pp$data, the discovery reach for the new resonance is extended to 8 TeV.

HE-LHC prospects for diboson resonance searches and electroweak WW/WZ production via vector boson scattering in the semi-leptonic final states