Rare kaon decay: challenges and perspectives

I review rare kaon decays. I introduce the flavor problem and p ossible solutions. Very rare kaon decays like K → π ν ̄ ν are very important to this purpose but also K → π l + l − . A new interesting channel is K → π π ee . Chiral dynamics is important to disentangle short distanc e 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 channel