English

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

High Energy Physics - Phenomenology 2023-09-21 v3

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.

Keywords

Cite

@article{arxiv.2212.02413,
  title  = {23, 381, 6242, 103268, 1743183, ...: Hilbert series for CP-violating operators in SMEFT},
  author = {Dan Kondo and Hitoshi Murayama and Risshin Okabe},
  journal= {arXiv preprint arXiv:2212.02413},
  year   = {2023}
}

Comments

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