The New Formulation of Higgs Effective Field Theory

TL;DR

This paper introduces a new, concise formulation of the Higgs Effective Field Theory (HEFT) based on on-shell methods and Young Tableau, enhancing its physical interpretability and computational accessibility for phenomenology.

Contribution

The authors develop a new formulation of HEFT that is more concise, physically interpretable, and implementable as a Mathematica program for various particles and interactions.

Findings

Provides a complete HEFT operator basis up to any dimension.

Constructs three- and four-point operator bases as examples.

Framework can be used for dark matter and particles with any spin.

Abstract

We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau technique. This EFT serves as a new formulation of the Higgs EFT (HEFT), which can describe the infrared effects of new physics at the electroweak symmetry-breaking phase with greater conciseness. The current HEFT operator basis has a clear physical interpretation, making it more accessible for research in phenomenology. A complete list of HEFT operator bases for any-point vertices up to any dimension could be provided, and three- and four-point bases are provided as examples. Additionally, this framework realized as a Mathematica program can be used to construct the EFT of any type of dark matter or particles with any spin.