  We study the effects of renormalisation group running of the Wilson
coefficients in Standard Model Effective Field Theory, using the process $pp
\to t \bar{t}h$ as a showcase. We consider both strong and top Yukawa running
effects, since the latter can be relevant in presence of large Wilson
coefficients. We study the difference between the use of a dynamical and fixed
renormalisation scale by exploring different scenarios for the
higher-dimensional operators at the high energy scale of new physics, assumed
to be at the TeV scale.
