Transverse Spin Dependent Drell Yan in QCD to $O(α_s^2)$ at Large $p_T$ (I). Virtual Corrections and Methods for the Real Emissions

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We investigate the role of the transverse spin dependence in Drell Yan lepton pair production to NLO in QCD at parton level. In our analysis we deal with the large $p_T$ distributions. We give very compact expressions for the virtual $O(α_s^2)$ corrections to the cross section and show that the singularities factorize. The study is performed in the $\bar{MS}$ scheme in Dimensional Regularization, and with the t'Hooft-Veltman prescription for $γ_5$. A discussion of the structure of the real emissions is included, and detailed methods for the study of these contributions are formulated.
47 pages, 8 figures

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