Theoretically Predicted Production Cross-Section of a W-boson and a charm quark in a proton-proton collisions

Abstract

The measurement of W and charm quark production cross section, through hadron collision provides a deep understanding of the structure of proton. The production of W boson and charm are best examples of hard scattering processes at Large Hadron Collider. Cross sections of W and c-quark and their ratios have been experimentally measured by the CMS detector at LHC in proton-proton collisions at various center of mass energies. We have studied the theoretical prediction of these cross sections in proton proton collisions at CoM energies, √ s = 13 T eV , 13.6 T eV and 14 T eV . The prediction are made using MADGRAPH and Parton Distribution Function (PDF) sets, such as CT14nlo, NNPDF3.1nlo, ABMP16nlo, CT10nlo and HERAPDF20. The inclusive cross-section σ(W± +c) predicted at 13 TeV is (1056.319±11.58± 11.92 ± 12)[pb], at 13.6 TeV it is (1095.14 ± 11.62 ± 12.52 ± 12.60)[pb] and at 14 TeV it is found to be (1140.67 ± 11.38 ± 11.79 ± 11.84)[pb] using CT10nlo PDF. Theoretically predicted production cross section and cross section ratios of W+ + ¯c and W− + c are compared with the measured results of CMS for 13 TeV only.