We describe the calculation of the QCD contribution to same-sign $W$-pair production, $ppto e^pm u_e mu^pm u_mu jj$, resumming all contributions scaling as $alpha_W^4 alpha_s^{2+k}log^k(hat s/p_perp^2)$ [arXiv:2107.06818]. These leading logarithmic
contributions are enhanced by typical cuts used for Vector Boson Scattering (VBS) studies. We show that while the cross sections are little affected by these corrections, other more exclusive observables relevant for experimental studies are affected more significantly.
We present the results of the first calculation of the logarithmic corrections to the QCD contribution to same-sign $W$-pair production, $ppto e^pm u_e mu^pm u_mu jj$, for same-sign charged leptons. This includes all leading logarithmic contributio
ns which scale as $alpha_W^4 alpha_s^{2+k}log^k(hat s/p_perp^2)$. This process is important for the study of electroweak couplings and hence the QCD contributions are usually suppressed through a choice of Vector Boson Scattering (VBS) cuts. These select regions of phase space where logarithms in $hat s/p_perp^2$ are enhanced. While the logarithmic corrections lead to a small change for the cross sections, several distributions relevant for experimental studies are affected more significantly.
We review the prospects for quarkonium-production studies in proton and nuclear collisions accessible during the upcoming phases of the CERN Large Hadron Collider operation after 2021, including the ultimate high-luminosity phase, with increased lumi
nosities compared to LHC Runs 1 and 2. We address the current experimental and theoretical open issues in the field and the perspectives for future studies in quarkonium-related physics through the exploitation of the huge data samples to be collected in proton-proton, with integrated luminosities reaching up to 3/ab, in proton-nucleus and in nucleus-nucleus collisions, both in the collider and fixed-target modes. Such investigations include, among others, those of: (i) the quarkonia produced in association with other hard particles; (ii) the chi(Q) and eta(Q) down to small transverse momenta; (iii) the constraints brought in by quarkonia on gluon PDFs, nuclear PDFs, TMDs, GPDs and GTMDs, as well as on the low-x parton dynamics; (iv) the gluon Sivers effect in polarised-nucleon collisions; (v) the properties of the quark-gluon plasma produced in ultra-relativistic heavy-ion collisions and of collective partonic effects in general; and (vi) double and triple parton scatterings.
