Abstract
The NA62 experiment at CERN collected the world’s largest dataset of charged kaon decays in 2016–2018, leading to the first measurement of the branching ratio of the ultra-rare K+ → π+vv− decay, based on 20 candidates. Recent results from analyses of K+ → π0e+vγ, K+ → π+µ+µ− and K+ → π+γγ decays, using a data sample recorded in 2017-2018, are reported. Preliminary results of the first observation and analysis of the K± → π0π0µ±v decay, based on the NA48/2 data collected in 2003-2004, are also shown.