The New Formulation of Higgs Effective Field Theory

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.

References in corpus (10)

• Constraints on Dark Matter from Colliders
• A Higgs-Higgs bound state due to New Physics at a TeV
• Heavy spin-2 Dark Matter
• Is SMEFT Enough?
• Constructing massive on-shell contact terms
• Complete NLO Operators in the Higgs Effective Field Theory
• Amplitude bases in generic EFTs
• An EFT hunter's guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes
• Complete NNLO Operator Bases in Higgs Effective Field Theory
• Constructing Generic Effective Field Theory for All Masses and Spins

Cited by in corpus (8)

• Jet Bundle Geometry of Scalar Field Theories
• The Art of Counting: a reappraisal of the HEFT expansion
• Primary Observables for Electroweak Gauge Boson Collider Signals
• Multi-Higgs Amplitudes Bootstrapped: Dissecting SMEFT and HEFT
• General Signals for Charged Lepton Flavor Violating Decays
• Quantifying EFT Uncertainties in LHC Searches
• Studying the VBF Hjj and Hjjj Higgs Boson Production in QCD and EFT Theory
• Massive Gauge Theories from Consistency Conditions of Amplitudes