  The heaviest fermion is expected to couple strongly to new physics and
appears therefore as a natural probe in many BSM scenarios. Moreover, top
physics has now entered in a precision era thanks to the huge amount of top
quarks produced at hadron colliders, advanced experimental methods and accurate
theoretical predictions. In this talk, we will used effective field theory to
search for heavy new physics in a model independent way. This method can also
be used to quantify the room left for new physics if no deviation from the SM
is found.
