Double Parton Scattering of Weak Gauge Boson Productions at the 13 TeV and 100 TeV Proton-Proton Colliders

We study double parton scattering (DPS) processes involving electroweak gauge bosons at the 13 TeV and 100 TeV proton-proton colliders. Specifically, we focus on three DPS channels: $W$-boson plus two jets ($W\otimes jj$), $Z$-boson plus two jets ($Z\otimes jj$), and same-sign $W$ pair production ($W^\pm\otimes W^\pm$)\mathrm{.}Wedemonstratethatthe$Z\otimes jj$ process, which has not been paid too much attentions, is the best channel for measuring effective cross section ${\sigma }_{\mathrm{e}\mathrm{f}\mathrm{f}}$. The accuracy of ${\sigma }_{\mathrm{e}\mathrm{f}\mathrm{f}}$ measurement in the three DPS channels, especially the $W^{\pm }\otimes W^{\pm }$ production, is significantly improved at the 100 TeV colliders. We advocate that combined analysis of the three DPS channels could test the universality of effective cross section ${\sigma }_{\mathrm{e}\mathrm{f}\mathrm{f}}$.