  The future runs of LHC offer a unique opportunity to measure correlations
between two partons inside the proton, which have never been experimentally
detected. The process of interest is the production of two positively charged
W-bosons decaying in the muon channel. We present a detailed analysis of
proton-proton collisions at $\sqrt{s}$ = 13 TeV, where we combine Monte Carlo
event generators with our calculations of parton correlations. We carefully
compare double parton scattering to relevant background processes and trace a
path towards a clean signal sample. Several observables are constructed to
demonstrate the effect of parton correlations with respect to clear benchmark
values for uncorrelated scatterings. We find that especially spin correlations
can be responsible for large effects in the variables we study, because of
their direct relation with the parton angular momentum and, therefore, the
directions of the muon momenta. We estimate the significance of the
measurements as a function of the integrated luminosity and conclude that the
LHC has the potential to detect, or put strong limits on, parton correlations
in the near future.
