Renormalization group evolution of Higgs effective field theory

TL;DR

This paper develops a geometric, symmetry-preserving method for one-loop renormalization of Higgs effective field theory, enabling detailed analysis of scalar coupling evolution relevant to LHC discoveries.

Contribution

It introduces a novel geometric formalism for renormalization group evolution in Higgs EFT, applicable to arbitrary manifolds and preserving symmetries.

Findings

RGE equations simplify in the Standard Model limit

Method allows probing scalar dynamics via coupling de-correlations

Framework applicable to a broad class of fermion-scalar theories

Abstract

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.