Overview of the CKM physics opportunities beyond $$K^ + \to \pi ^ + \nu \bar \nu $$

A new experiment CKM is accepted by Fermilab for a very sensitive study of rare kaon decay $$K^ + \to \pi ^ + \nu \bar \nu $$ on an intense separated kaon beam. The high quality of the beam and CKM setup make it possible to perform an important set of other kaon-decay measurements in parallel with the main research program: (1) the search for new physics effects beyond the Standard Model (search for new P, S, T interactions and lepton flavor violation in kaon decays); (2) further search for direct CP violation in charged kaon decays; (3) study of low-energy hadron physics in pure conditions of decay processes (K + → π + l + l −; ππlν l; π 0 γγ, etc.). The expected results of these studies are compared with other experimental programs.