QCD Studies at Hadron Colliders and in Deeply Virtual Neutrino Scattering

Abstract

This thesis work summarizes studies in QCD for applications both at hadron colliders and in exclusive processes. In the first part we focus our attention on the study of the initial state scaling violations and the evolution of the unpolarized parton distributions through Next-to-Next to Leading Order (NNLO) in $\alpha_s$, the strong coupling, suitable for precision studies of the parton model at the LHC. Specifically, we analize the methods available to solve the equations and develope the theory of the logarithmic expansions at the same perturbative order. A study of the Higgs total cross section is included. The theoretical analysis is accompanied by the developement of professional software partly documented in this thesis. We also include one study of the evolution of the transverse spin distributions (the Soffer inequality) and a parallel study of the asymmetries for the Drell-Yan process for the proposed Pax experiment at GSI at NLO. In the second part we introduce the extension of Deeply Virtual Compton Scattering to the electroweak sector for neutrino detection at neutrino factories at intermediate energy.