  The one-loop renormalization of the action for a set Dirac fermions and a set
of scalars spanning an arbitrary manifold coupled via Yukawa-like and gauge
interactions is presented. The computation is performed with functional methods
and in a geometric formalism that preserves at all stages the symmetries of the
action. The result is then applied to Higgs effective field theory to obtain
the renormalization group evolution. In the Standard Model limit of this EFT
the RGE equations collapse into a smaller linearly independent set; this allows
to probe the dynamics of the scalar discovered at LHC via de-correlations in
the running of couplings.
