Phenomenology of transverse momentum dependent parton distribution functions in Fourier-conjugate space

The study of the Transverse Momentum Distributions (TMDs) in the Drell-Yan processes in the low energy regime allows an analysis of the nonperturbative QCD effects, which are important to gain information about the functional form of the TMDs. Moreover, it can be noticed that the factorization formula of the cross section for the DY process, with the appropriate changes, can be used to study TMDs in the semi-inclusive deep inelastic scattering (SIDIS). In order to perform such analysis, thanks to the factorization theorems for TMDs distributions, it is convenient to work in the impact parameter space. The TMDs are objects that can be evolved between two different scales: this aspect is particularly important in the study of the transition from the perturbative regime to the non-perturbative regime of QCD. The study is conducted using data in the transverse momentum space, and thus, during the analysis, it is necessary to apply the Fourier trasform of the TMDPDFs. In this work an approach that differs frome the one usually followed is considered and the aim is to perform the Fourier transform directy on the data (from the transverse momentum space to the parameter of impact space). In the dissertation we also discuss the implications of such method and the assumptions that have to be considered in the study of TMDs from experimental data.