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Prediction of $Z\rightarrow l^{+}l^{-}$ production cross section (where$l^{\pm} =e^{\pm},\mu^{\pm}$) in proton-proton collisions at $\sqrt{s}$=14 TeVis estimated up to next-to-next-to-leading order (NNLO) in perturbative QCDincluding next-to-leading order (NLO) electroweak (EW) corrections. The totalinclusive Z boson production cross section times leptonic branching ratio,within the invariant mass window $66<m_{ll}<116$ GeV, is predicted using NNLOHERAPDF2.0 at NNLO QCD and NLO EW as $\sigma_{Z}^{Tot}$=2111.69$_{-26.92}^{+26.31}$ (PDF) $\pm11$ ($\alpha_{s}$) $\pm$17 (scale)$^{+57.41}_{-30.98}$ (parameterization and model). Theoretical prediction ofthe fiducial cross section is further computed with the latest modern PDFmodels (CT14, MMHT2014, NNPDF3.0, HERAPDF2.0 and ABM12) at NNLO for QCD and NLOfor EW. The central values of the predictions are based on DYNNLO 1.5 programand the uncertainties are extracted using FEWZ 3.1 program. In addition, thecross section is also calculated as functions of $\mu_{R}$ and $\mu_{F}$scales. The choice of $\mu_{R}$ and $\mu_{F}$ for scale variation uncertaintyis further discussed in details.

advances in high energy physics

Cross Section Prediction for Inclusive Production of Z Boson in $pp$  Collisions at $\sqrt{s}$$=14$ TeV: A Study of Systematic Uncertainty Due to  Scale Dependence