Measurements of the production of W${}^{\pm }$ and Z${}^0$ bosons in pp collisions at $\sqrt{s}=13$ TeV

Measurements of the production of the W${}^{\pm }$ and Z${}^0$ bosons at midrapidity in pp collisions at $\sqrt{s}=13$ TeV with ALICE at the Large Hadron Collider (LHC) are presented. The W${}^{\pm }$ and Z${}^0$ bosons are detected via their (di)electronic decay channels, with the electron reconstruction performed in the midrapidity region ($\mathrm{\mid }y\mathrm{\mid }<0.6$). The $p_{\mathrm{T}}$-integrated and $p_{\mathrm{T}}$-differential production cross sections of electrons from W${}^{\pm }$ decays in the interval $30<p_{\mathrm{T}}<60$ GeV/$c$, as well as the $p_{\mathrm{T}}$-integrated production cross section of Z${}^0$ bosons, are measured. The results are described by perturbative QCD calculations using different sets of parton distribution functions. The production of W${}^{\pm }$ bosons and azimuthally correlated associated hadrons is also measured as a function of the charged-particle multiplicity for the first time at the LHC. The former increases approximately linearly with the charged-particle multiplicity, while for the latter, there are hints of a faster-than-linear increase. These observations are compared with theoretical calculations.