The NA62 experiment was devised to study the ultra-rare decay $K^+ \rightarrow \pi^+ \nu \bar{\nu}$ at the SPS (Super Proton Synchrotron) at CERN.\\

This process was first observed at BNL in the dedicated experiments E787 and E949 (1997-2001), and its branching ratio was later measured to be $(1.73^{+1.15}_{-1.05}) \, 10^{-10}$ \cite{Artamonov:2008qb}. The exceptional theoretical cleanliness of this decay channel makes it extremely attractive to test the Standard Model predictions and probe the existence of new Physics.\\

NA62 was designed to collect the higher statistics ever obtained for $K^+$ decay events, allowing for a 10\% measurement of the branching ratio of the $K^+ \rightarrow \pi^+ \nu \bar{\nu}$ decay with a 10:1 signal to background ratio.%CKM parameter $\vert V_{td} \vert$.