In view of the start up of the 14 TeV pp Large Hadron Collider the quark anti−quark reactions leading to the final states W + W − , W ± Z 0 and Z 0 Z 0 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
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