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We present a complete list of the independent dimension-7 operators that areconstructed using the Standard Model degrees of freedom and are invariant underthe Standard Model gauge group. This list contains only 20 independentoperators; far fewer than the 63 operators available at dimension 6. All ofthese dimension-7 operators contain fermions and violate lepton number, and 7of the 20 violate baryon number as well. This result extends the Standard ModelEffective Field Theory (SMEFT) and allows a more detailed exploration of thestructure and properties of possible deformations from the Standard ModelLagrangian.

Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators