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

Dan Kondo; Hitoshi Murayama; Risshin Okabe

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

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arxiv 2212.02413 v3 pith:ZDX6ZGOY submitted 2022-12-05 hep-ph

Dan Kondo , Hitoshi Murayama , Risshin Okabe This is my paper · ORCID

classification hep-ph

keywords operatorscp-violatingdimensionhilbertmethodseriessmeftallows

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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.

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Impact of dimension-8 SMEFT operators on baryogenesis via sphaleron decoupling
hep-ph 2026-08 conditional novelty 6.0 of 10

Five of seven CP-violating dimension-8 SMEFT operators can individually reproduce the observed baryon asymmetry, with effective new-physics scales near 3-7 TeV.

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