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Low-Energy Effective Field Theory below the Electroweak Scale: Dimension-8 Operators

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arxiv 2012.13291 v3 pith:6YAF2TIB submitted 2020-12-24 hep-ph

Low-Energy Effective Field Theory below the Electroweak Scale: Dimension-8 Operators

classification hep-ph
keywords dimension-8effectivefieldoperatorstheorybasisbelowelectroweak
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct a complete basis of dimension-8 operators in the Low-Energy Effective Field Theory below the Electroweak Scale (LEFT). We find there are 35058 dimension-8 operators in the LEFT for two generations of up-type quarks and three generations of down-type quarks, charged leptons, and left-handed neutrinos. The existence of this operator basis is a necessary prerequisite for matching to the Standard Model Effective Field Theory at the dimension-8 level.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. $D$-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.

  2. Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR

    hep-ph 2025-01 unverdicted novelty 7.0

    Derives the full two-loop ADM for four-fermion operators in LEFT in NDR scheme including O(α_s²), O(α_s α) and O(α²) terms, with results for 5/4/3 active flavors implemented in DsixTools.