  In absence of any distinct evidence of new physics phenomena at the LHC, an
increasing number of experimental studies aim at probing anomalous effects with
an effective field theory (EFT) that represents a comprehensive approach for
interpretation of various experimental results. The processes with the
production of top quarks are sensitive to several classes of EFT operators
including the flavour-changing neutral currents (FCNC). The summary of the
latest CMS results based on the recent studies of the standard model processes
and searches for new physics effects involving top quarks are presented.
