Oa1s and Oa2s Radiative corrections for w-boson production at the tevatron and atlas experiment

In this thesis, we propose an approach for calculating W-Boson Transverse Momentum Dependent (TMD) distributions using the LHAPDF library with nCTEQ15, MSTW2008 and CT10 Parton Distribution Functions (PDF). We utilize ManeParse as a PDF reader in the Mathematica framework for importing and computing relevant cross-sections, luminosity functions, and error analysis, and additionally allow cross-check with a number of sum rules. A proper description of TMD distributions requires resummation of large logarithms responsible for the divergence of the perturbation series in the strong coupling as. Our proposed calculation is for next-to-leading-order (Oa1s) and next-to-next-to-leading-order (Oa2s) large logarithmic perturbative corrections for the differential W  pT partonic cross-sections for processes of the form pp -> W  + X. The goal of large logarithmic corrections with threshold resummation is to improve the accuracy of the pT distribution thus reducing dependence of the cross-section on renormalization (uR) and factorization (uF) scales, and plays a role in Higgs searches, precision measurement of the W-boson mass, as well as for testing perturbative QCD.