Precision measurement of the form factors of the charged kaon semileptonic decays $K^\pm \rightarrow \pi^\pm_{l3}$

The NA48/2 experiment has presented a final result of the charged kaon semileptonic decays form factors measurement based on 4.28 million $K^{\pm}\rightarrow \pi^0 e^{\pm}\nu$ (K$_{e3}$) and 2.91 million $K^{\pm}\rightarrow \pi^0 \mu^{\pm}\nu$ (K$_{\mu 3}$) selected decays, collected in 2004. The result is competitive with other measurements in (K$_{\mu 3}$) mode and has a smallest uncertainty for (K$_{e3}$), that leads to the most precise combined (K$_{\it{l}3}$) result and allows to reduce the form factor uncertainty on the extraction of |V$_{US}$|.