Cross Section Predictions of W ($W\to {\mathrm{\ell }}^{\pm }\nu$) and Z ($Z\to {\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$) Bosons in Association with Jets in pp Collisions

Cross section predictions of W and Z bosons in association with jets (up to 6 jets, $W\to {\mathrm{\ell }}^{\pm }\nu$ and $Z\to {\mathrm{\ell }}^{\pm }$ where ${\mathrm{\ell }}^{\pm }$=$e^{\pm }$ or ${\mu }^{\pm }$) in proton-proton collisions at $\sqrt{s}$=14 TeV is performed using Alpgen MC generator with CTEQ6L1 leading order parton distribution function. In addition, W and Z boson cross sections are obtained up to next to next to leading order (NNLO) QCD corrections using MCFM MC generator. To validate the predictions, a detailed comparison of NNLO QCD calculations with 8 TeV CMS results for total cross section is performed and a fiducial region is further defined to make a comparison of predictions with 7 TeV and 13 TeV ATLAS results.