  In this thesis, we develop resummation algorithms suitable for perturbative
QCD. In the first part, we propose a resummation technique applicable to the
Regge limit. We develop a new systematic procedure for this limit in
perturbative QCD to arbitrary logarithmic order. The formalism relies on the IR
structure and the gauge symmetry of the theory. Using a factorization procedure
introduced by Sen, we derive a sum of convolutions in transverse momentum space
over soft and jet functions, which approximate the amplitude up to
power-suppressed corrections. A set of evolution equations generalizing the
BFKL equation and controlling the high energy behavior of the amplitudes to
arbitrary logarithmic accuracy is derived. The general method is illustrated in
the case of leading and next-to-leading logarithmic gluon reggeization and BFKL
equation. We confirm the standard results at LL accuracy. At NLL order, we find
an agreement with the reggeization conjecture up to two loops. However,
starting at three loop order, we identify contributions violating the Regge
ansatz. In addition, we calculate the evolution kernel determining the
high-energy behavior of the non-reggeized term in the scattering amplitude. In
the second part, we focus our attention to another intriguing problem of
high-energy QCD, the resummation associated with soft radiation in dijet events
which is complicated by the presence of non-global logarithms. We introduce a
set of correlations between energy flow and event shapes that are sensitive to
the flow of color at short distances in jet events. The method is illustrated
for electron-positron dijet events. We calculate the correlation at leading
logarithm in the energy flow and at next-to-leading-logarithm in the event
shape.
