  Building upon the fundamental partial compositeness framework we provide
consistent and complete composite extensions of the standard model. These are
used to determine the effective operators emerging at the electroweak scale in
terms of the standard model fields upon consistently integrating out the heavy
composite dynamics. We exhibit the first effective field theories matching
these complete composite theories of flavour and analyse their physical
consequences for the third generation quarks. Relations with other approaches,
ranging from effective analyses for partial compositeness to extra dimensions
as well as purely fermionic extensions, are briefly discussed. Our methodology
is applicable to any composite theory of dynamical electroweak symmetry
breaking featuring a complete theory of flavour.
