The CDF and D0 collaborations have used recent data taken at the Tevatron to perform QCD tests with W and Z bosons decaying leptonically. D0 measures the production cross section times branching ratio for W and Z bosons. This also gives an indirect measurement of the total width of the W boson: [Lambda][sub W] = 2.126 [+-] 0.092 GeV. CDF reports on a direct measurement of [Lambda][sub W] = 2.19 [+-] 0.19 GeV, in good agreement with the indirect determination and Standard Model predictions. D0's measurement of the differential d[sigma]/dp[sub T] distribution for W and Z bosons decaying to electrons agrees with the combined QCD perturbative and resummation calculations. In addition, the d[sigma]/dp[sub T] distribution for the Z boson discriminates between different vector boson production models. Studies of W + Jet production at CDF find the NLO QCD prediction for the production rate of W + [ge] 1 Jet events to be in good agreement with the data.

The CDF and D0 experiments have both collected large samples of W and Z bosons with the last Tevatron collider run (1995--1996) using p{anti p} collisions at (square root)s = 1.8 TeV. The author presents the results of QCD studies with vector bosons that cover a large range of transverse momentum space, pT, making this a testing ground for both perturbative and non-perturbative QCD. The measurement of the W and Z cross section, their width, the W and Z transverse momentum distribution and the angular distribution of electrons in W decays are described in this paper.

In this contribution, some of the recent QCD results on jet production from the CDF and D0 experiments in Run II of the Tevatron are discussed. In particular, results include cross section measurements for dijet and trijet production, study of jet substructure and measurements of W/Z+jets cross sections. The measurements are compared with the theoretical predictions. The QCD program at the Tevatron proton-antiproton collider revolves around the jet physics. Jets are collimated sprays of hadrons generated by the fragmentation of partons originating from the hard scattering. The measurements of jets production cross section at the Tevatron provide stringent test of perturbative QCD predictions, information on the strong coupling constant, [alpha]s, and constraints on proton parton distribution functions, PDFs. The deviations from the pQCD predictions could translate into a hint of new physics. In addition, these processes form sizable backgrounds to both, the Standard Model (SM) and beyond SM physics processes. Therefore, good understanding of jets production is essential to perform precise physics measurements or searches for new physics phenomena. In this contribution, a review of some recent QCD results from the CDF [1] and D0 [2] experiments is presented. Various analyses use proton-antiproton collision data from the Fermilab Tevatron at the center of mass energy √s = 1.96 TeV corresponding to integrated luminosities of 0.7 fb−1 to 8 fb−1. The results are corrected for the experimental effects and presented at the 'particle level'. The theory predictions are corrected for the hadronization and underlying effects which are obtained from the parton shower Monte Carlo (MC) simulations.

This book consists of a collection of carefully selected review papers and lecture notes written by the author on Perturbative Quantum Chromodynamics (PQCD) and its experimental tests. A leading authority who has contributed significantly to the development of PQCD for more than 20 years, the author has selected articles on the basis of their present interest. These articles cover different aspects of the subject without unnecessary duplication and are accompanied by commentaries. Also, original material, specially written for this book, has been added to integrate and update the results and their presentation. Hence, more than providing a historical perspective on the subject, this volume also serves well as an authoritative guidebook on Perturbative QCD.

Both the D0 and CDF experiments at Fermilab Tevatron collider at √s = 1.8 TeV have accumulated over 50pb−1 of data. Each experiment collected more than 50,000 W → l +v and 5000 Z → l + {bar l} candidates for each lepton species (e and [mu]). Using this large data sample of W and Z candidates, the two experiments are actively testing perturbative QCD predictions. Among the studies that are in progress, preliminary results of W/Z+jets characteristics, multiplicity distributions of associated jets, and a study on the determination of the strong coupling constant using the ratio of the W+1 jet to W + 0 jet cross sections are presented.