Rare kaon decay: challenges and perspectives

Abstract

I review rare kaon decays. I introduce the flavor problem and possible solutions. Very rare kaon decays like K → πνν are very important to this purpose but also K → πl + l − . A new interesting channel is K → ππee. Chiral dynamics is important to disentangle short distance effects. We discuss also the decays K 0 → µ + µ − , which have received recently some attention due to the measurement by LHCB.therefore we will study also K L → π 0 e + e − , K + → π + π 0 γ, K + → π + π 0 e + e − and related channels