Measurement of the charge asymmetry for the $K_S rightarrow pi e u$ decay and test of CPT symmetry with the KLOE detector

Using 1.63 fb$^{-1}$ of integrated luminosity collected by the KLOE experiment about $7times 10^4$ $K_S rightarrow pi^{pm}e^{mp} u$ decays have been reconstructed. The measured value of the charge asymmetry for this decay is $A_S = (-4.9 pm 5.7_{stat} pm 2.6_{syst}) times 10^{-3}$, which is almost twice more precise than the previous KLOE result. The combination of these two measurements gives $A_S = (-3.8 pm 5.0_{stat} pm 2.6_{syst}) times 10^{-3}$ and, together with the asymmetry of the $K_L$ semileptonic decay, provides significant tests of the CPT symmetry. The obtained results are in agreement with CPT invariance.