23, 381, 6242, 103268, 1743183, ...: Hilbert series for CP-violating operators in SMEFT

Abstract

We introduce a systematic method to classify the Standard Model Effective Field Theory (SMEFT) operators based on their CP properties with the Hilbert series techniques. Our method makes it possible to enumerate operators violating CP symmetry in a few seconds. We present the complete classification of dimension eight operators under CP transformation, and the number of CP-odd or CP-violating operators are listed up to dimension 14. We also provide a companion code in FORM that allows anybody to reproduce our results.

v3: 31 pages, one figure, 5 tables, FORM codes visible as ancillary files, version accepted by JHEP

References in corpus (8)

• Operator bases, $S$-matrices, and their partition functions
• Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox
• Hilbert Series, the Higgs Mechanism, and HEFT
• ..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... Efficient Hilbert Series for Effective Theories
• Beyond Jarlskog: 699 invariants for CP violation in SMEFT
• CP violation and flavor invariants in the seesaw effective field theory
• Outer Automorphism Anomalies
• Spelling Out Leptonic CP Violation in the Language of Invariant Theory

Cited by in corpus (3)

• LHC EFT WG Note: Basis for Anomalous Quartic Gauge Couplings
• Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
• Telling compositeness at a distance with outer automorphisms and CP