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

The W and charm quark production cross-section measurement at hadron collision provides a deep understanding of the structure of proton. The production of W boson and charm are the best examples of hard scattering processes at Large Hadron Collider. The 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 , √s = 13.6 T eV and 14 T eV. Theoretically predicted production cross-section and cross-section ratios of W ++ ̄c and W − + c is compared with the measured results at various center of mass energies.