Classification of 440 minimal UV completions for SMEFT dim-9 operators in short-range 0νββ decay, including 324 with vector mediators.
Lehman,Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators,Phys
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abstract
We present a complete list of the independent dimension-7 operators that are constructed using the Standard Model degrees of freedom and are invariant under the Standard Model gauge group. This list contains only 20 independent operators; far fewer than the 63 operators available at dimension 6. All of these dimension-7 operators contain fermions and violate lepton number, and 7 of the 20 violate baryon number as well. This result extends the Standard Model Effective Field Theory (SMEFT) and allows a more detailed exploration of the structure and properties of possible deformations from the Standard Model Lagrangian.
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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.
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Reviews advances toward global SMEFT fits across top, Higgs, and electroweak sectors including NLO QCD effects and multi-sector combinations.
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