RESUMMATIONS OF TRANSVERSE MOMENTUM DISTRIBUTIONS

This thesis arises in the context of precise phenomenology at the Large Hadron Collider, LHC. In the searching for New Physics, an accurate theoretical prediction of many Standard Model processes is crucial to be able to distinguish the desired discrepancy from the known background. After the failure of LHC Run I in the detection of any trace of new physics, experimental search is moving from inclusive cross sections to more exclusive shapes and distributions. In this context, primary importance is covered by transverse momentum distributions. The objective of this thesis is to provide a general study about possible resummation theories which can be applied on transverse momentum distributions. In particular, the known transverse momentum resummation and threshold resummation formalism are reviewed and improved, being able to unify all this information in a unique combined expression. Moreover in the context of high energy resummation, several new ingredients are introduced in this thesis: LL$x$ resummation is performed for the double differential distribution, and first steps in the extension of this formalism to jets are discussed. As phenomenological applications, a combined resummed result is shown for the Higgs boson transverse momentum distribution; furthermore the impact of quark mass corrections on this spectrum at LHC $13$ TeV is analysed, using an high energy expansion.