Revisiting parity non-conservation in cesium

We apply the sum-over-states approach to calculate partial contributions to the parity non-conservation (PNC) in cesium [Porsev {\em et al}, Phys. Rev. D {\bf 82}, 036008 (2010)]. We have found significant corrections to two non-dominating terms coming from the contribution of the core and highly excited states ($n>9$, the so called {\em tail}). When these differences are taken into account the result of Porsev {\em et al}, $E_{\rm PNC} = 0.8906,(24) \times 10^{-11}i(-Q_W/N)$changesto$0.8977,(40)$, coming into good agreement with our previous calculations, $0.8980(45)$. The interpretation of the PNC measurements in cesium still indicates reasonable agreement with the standard model ($1.5\sigma$), however gives new constraints on physics beyond it.