Standard Model Effective Field Theory from On-shell Amplitudes

Abstract

We present a general method of constructing unfactorizable on-shell amplitudes (amplitude basis), and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory (EFT). We apply our method to the Standard Model EFT, and identify the amplitude basis in dimension 5 and 6, which correspond to the Weinberg operator and operators in Warsaw basis except for some linear combinations.

9 pages, 1 figure, 3 appendices

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Cited by in corpus (30)

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• Higgs Coupling Measurements and the Scale of New Physics
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• RG of GR from On-shell Amplitudes
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• The New Formulation of Higgs Effective Field Theory
• AutoEFT: Automated Operator Construction for Effective Field Theories
• Positivity Bounds in Scalar Effective Field Theories at One-loop Level
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• Counting Operators in $N=1$ Supersymmetric Gauge Theories
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• Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing
• Characterising Dark Matter-induced neutrino potentials
• Positivity bounds in scalar-QED EFT at one-loop level
• Hidden U(N) Symmetry behind N=1 Superamplitudes
• Quantifying EFT Uncertainties in LHC Searches
• $D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions
• A Note on the Analytic Structure of Celestial Amplitudes