Measurement of the production cross section for a W boson in association with a charm quark in proton-proton collisions at [Formula omitted]

The strange quark content of the proton is probed through the measurement of the production cross section for a W boson and a charm (c) quark in proton-proton collisions at a center-of-mass energy of 13 [Formula omitted]. The analysis uses a data sample corresponding to a total integrated luminosity of 138 [Formula omitted] collected with the CMS detector at the LHC. The W bosons are identified through their leptonic decays to an electron or a muon, and a neutrino. Charm jets are tagged using the presence of a muon or a secondary vertex inside the jet. The [Formula omitted] production cross section and the cross section ratio [Formula omitted] are measured inclusively and differentially as functions of the transverse momentum and the pseudorapidity of the lepton originating from the W boson decay. The precision of the measurements is improved with respect to previous studies, reaching 1% in [Formula omitted]. The measurements are compared with theoretical predictions up to next-to-next-to-leading order in perturbative quantum chromodynamics.