Measurement of -boson differential cross-sections in proton–proton collisions with low pile-up data at TeV and with the ATLAS detector

High precision single-differential -boson production cross-sections as a function of electron or muon transverse momentum or their pseudorapity , as well as double-differential cross-sections as functions of these variables, are measured in proton–proton collisions at centre-of-mass energies TeV and 13 TeV. The $\textit{W}$-boson charge asymmetry as a function of lepton is also measured. The data, collected in dedicated runs at reduced instantaneous luminosity with the ATLAS detector at the Large Hadron Collider, correspond to integrated luminosities of 255 pb at 5.02 TeV and 338 pb at 13 TeV. The measurements are in agreement with Standard-Model predictions calculated at next-to-next-to-leading-order in the strong coupling constant including transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy using several parton distribution functions. The impact of the measured differential cross-sections as a function of lepton on the determination of these functions is studied using a profiling technique.