The Theory and Applications of the Unintegrated Parton Distribution Functions
by
Seminar Room
Larak
Understanding the fundamental nature of the strong nuclear interactions is one of the main
proposes of the high-energy physics laboratories. Such goal is unfortunately suppressed by the
lack of direct information on the behavior of the individual partons (quarks and gluons) in the
high-energy deep inelastic collisions, due to the confinement effect. In the past few decades,
different groups have tried to remedy this problem. The results were models like the DGLAP
evolution equation, BFKL evolution equation, etc… Today, because of the unprecedented
improvements in the quality of the experiments, acquiring a fundamental knowledge about the
behavior of the partonic distribution functions (PDF for short), especially their dependency on the
transverse momentum, is absolutely essential. This provided an excuse for the introduction and
the development of the transverse momentum parton distribution functions (TMD-PDF) and the
un-integrated parton distribution functions (UPDF) in the kt-factorization framework, e.g. the
CCFM evolution equation and the KMR and MRW models. In this talk, we will have a glance
over the history, the theory and the applications of these frameworks as a part of the small-x
physics.