Renormalization group evolution of Higgs effective field theory

Understand

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.