Quark-Antiquark Energy Density Function applied to Di-Gauge Boson Production at the LHC

In view of the start up of the 14 TeV pp Large Hadron Collider the quark anti−quark reactions leading to the final states WW, WZ and ZZ are studied, in the frame work of the Standard Model (SM), using helicity amplitudes. The differential and total cross sections are first evaluated in the parton-parton center of mass system and then transformed to their expected structure in pp collisions through the parton-parton Energy Density Functions which are here derived from the known Parton Density Functions of the proton. In particular the single and joint longitudinal polarizations of the final state di-bosons are calculated. The effect on these reactions from the presence of s-channel heavy vector bosons, like the W ′ and Z , are evaluated to explore the possibility to utilize the gauge boson pair production as a probe for these ’Beyond the SM ’ phenomena. PACS numbers: 13.85.t, 13.88.+e, 14.70.-e