Noncommutative Standard Model in Top Quark Sector

In this article we aim to estimate the bounds on the noncommutative scale ${\mathrm{\Lambda }}_{NC}$ and to extract the 95% exclusion contours for some ${\theta }_{\mu \nu }$ components using the recent measurements of the top quark width and the $W$ boson polarization in top pair events from CDF experiment at Tevatron.