الخلاصة:
In this thesis, we performed calculations of higher order of some hadronic sub-processes with the soft and/or collinear gluon approach. We noticed that this new method allows us to have better results compared to the LHC and the Tevatron experimental data, in the case of direct photons production.
Subsequently, we investigated sub-processes and the physical process of direct photon production, but within the Minimal Non-Commutative Standard Model (Minimal-NCSM).
We calculated the inclusive cross section and compared the predictions of Minimal-NCSM with Tevatron's experimental data. Then, we found that non-commutative effects occur in particular for photons with large transverse momentum.
At the end of the thesis, we examined the non-commutative contribution in structure functions and scale invariance violation, which occur at the leading order of perturbation theory in the context of NCSM. The resolution of the NC-DGLAP evolution equation in momentum space, allowed us to follow the evolution of the structure functions for large x, and for different values of the non-commutative parameter Λ.
