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Standard Model Effective Field Theory from On-shell Amplitudes

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arxiv 1902.06752 v2 pith:7Q4L6O6R submitted 2019-02-18 hep-ph

Standard Model Effective Field Theory from On-shell Amplitudes

classification hep-ph
keywords basisamplitudeamplitudeseffectivefieldmethodmodelon-shell
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 3 Pith papers

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    hep-ph 2026-03 unverdicted novelty 7.0

    Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.

  2. $D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions

    hep-ph 2025-11 unverdicted novelty 7.0

    A modular assembly method constructs D-dimensional higher-derivative four-point amplitudes involving fermions from gauge-invariant blocks, color factors, and permutation-invariant scalar polynomials.

  3. The Spurion Massive EFT (SMEFT)

    hep-ph 2026-04 unverdicted novelty 5.0

    SMEFT contact terms are decomposed into spurion structures whose coefficients come from higher-order Higgs singlet combinations, with W/Z masses, mixing, and fermion couplings fully saturated by dimension-eight operators.