The inclusive cross section of vector boson production in proton-proton collisions is one of the key measurements for constraining the Standard Model and an important part of the physics program at the LHC. Measurement of the inclusive cross section requires calculating the detector acceptance of decay products. The acceptance of the CMS detector of leptonic decays of W and Z bosons produced in pp colisions at [square root of]s = 5 TeV is calculated using Monte Carlo event simulation. Statistical and systematic uncertainties on the acceptance measurement from PDF and a, uncertainty and higher-order correction are reported. The use of the calculated acceptance in combination with measurements of detector efficiency, luminosity, and particle counting to determine the inclusive cross section is outlined. A total integrated luminosity of 331.64 pb-1 from 2015 and 2017 CMS data at [square root of]s = 5 TeV is available for the calculation of the inclusive cross section.

The production of a Z boson, decaying into two leptons and produced in association with one or more b jets, is studied using proton-proton collisions delivered by the LHC at a centre-of-mass energy of 7 TeV. The data were recorded in 2011 with the CMS detector and correspond to an integrated luminosity of 5 fb-1. The Z(ll) + b-jets cross sections (where ll = [mu][mu] or ee) are measured separately for a Z boson produced with exactly one b jet and with at least two b jets. In addition, a cross section ratio is extracted for a Z boson produced with at least one b jet, relative to a Z boson produced with at least one jet. The measured cross sections are compared to various theoretical predictions, and the data favour the predictions in the five-flavour scheme, where b quarks are assumed massless. The kinematic properties of the reconstructed particles are compared with the predictions from the MadGraph event generator using the pythia parton shower simulation.

Measurements of the W± → l±[nu] and Z → l+l- production cross sections (where l± = e±, [mu]± ) in proton-proton collisions at √s = 13 TeV are presented using data recorded by the ATLAS experiment at the Large Hadron Collider, corresponding to a total integrated luminosity of 81 pb-1. The total inclusive W±-boson production cross sections times the single-lepton-flavour branching ratios are [sigma]Wtot+ =11.83 ± 0.02 (stat)±0.32 (sys)±0.25 (lumi) nb and [sigma]W-tot=8.79±0.02 (stat)±0.24 (sys)±0.18 (lumi) nb for W+ and W- , respectively.

This thesis reports on the measurement of the W and Z boson inclusive production cross sections ([sigma][sub W] and[sigma][sub Z]) times electronic branching ratios (Br(W[r-arrow] e[nu]) and Br(Z[r-arrow] ee)) in p[anti p] collisions at[radical]s= 1.8 TeV. The analysis is based on 12.8 pb[sup[minus]1] of data taken in the 1992--1993 run by the D0 detector at the Fermilab Tevatron collider; the cross sections were measured to be:[sigma][sub W][center-dot] Br(W[r-arrow] e[nu])= 2.36[+-] 0.02[+-] 0.07[+-] 0.13 nb and[sigma][sub Z][center-dot] Br(Z[r-arrow] ee)= 0.218[+-] 0.008[+-] 0.008[+-] 0.012 nb. The first error is statistical, the second error represents the non-luminosity systematic error, and the third error shows the uncertainty in the luminosity determination. Future prospects for similar measurements based on larger samples of data are discussed.

Measurements of inclusive W and Z boson production cross sections in pp collisions at sqrt(s)=7 TeV are presented, based on 2.9 inverse picobarns of data recorded by the CMS detector at the LHC. The measurements, performed in the electron and muon decay channels, are combined to give sigma(pp to WX) times B(W to muon or electron + neutrino) = 9.95 \pm 0.07(stat.) \pm 0.28(syst.) \pm 1.09(lumi.) nb and sigma(pp to ZX) times B(Z to oppositely charged muon or electron pairs) = 0.931 \pm 0.026(stat.) \pm 0.023(syst.) \pm 0.102(lumi.) nb. Theoretical predictions, calculated at the next-to-next-to-leading order in QCD using recent parton distribution functions, are in agreement with the measured cross sections. Ratios of cross sections, which incur an experimental systematic uncertainty of less than 4%, are also reported.

This thesis reports on the measurement of the W and Z boson inclusive production cross sections (?{sub W} and?{sub Z}) times electronic branching ratios (Br(W → e?) and Br(Z → ee)) in p{anti p} collisions at √s = 1.8 TeV. The analysis is based on 12.8 pb{sup −1} of data taken in the 1992--1993 run by the D0 detector at the Fermilab Tevatron collider; the cross sections were measured to be:?{sub W} · Br(W → e?) = 2.36 ± 0.02 ± 0.07 ± 0.13 nb and?{sub Z} · Br(Z → ee) = 0.218 ± 0.008 ± 0.008 ± 0.012 nb. The first error is statistical, the second error represents the non-luminosity systematic error, and the third error shows the uncertainty in the luminosity determination. Future prospects for similar measurements based on larger samples of data are discussed.

The CDF and D0 experiments at the Tevatron have used p{bar p} collisions at (square root)s = 1.96 TeV to measure the cross section of W and Z boson production using several leptonic final states. An indirect measurement of the total W width has been extracted, and the lepton charge asymmetry in Drell-Yan production has been studied up to invariant masses of 600 GeV/c2.