  In this Ph.D. Thesis we analyze some CP-violating observables in Kaon decays.
In Chapters 1-3 we describe the framework in which this Thesis has been
developed and establish the definitions and notation. In Chapter 4 we study
CP-violating asymmetries in the decays of charged Kaons K\to 3\pi. The
calculation of the \Delta I=3/2 contribution to $\epsilon_K'$ in the chiral
limit, is reported in Chapter 6. In Chapter 7 we perform a calculation of the
direct CP-violating parameter $\epsilon_K'$ using some of the results obtained
in the other chapters. We also develop a new approach that can be used to
systematically determine hadronic matrix elements from the calculation of a set
of Green's functions compatible with all the QCD and phenomenology constraints.
This is described in Chapter 5. The first application of this approach -the
calculation of the chiral corrections to \hat B_K- is also sketched in Chapter
5.
