학술논문

23, 381, 6242, 103268, 1743183, … : Hilbert series for CP-violating operators in SMEFT
Document Type
article
Source
Journal of High Energy Physics. 2023(3)
Subject
Nuclear and Plasma Physics
Particle and High Energy Physics
Mathematical Sciences
Physical Sciences
CP Violation
Effective Field Theories
SMEFT
Space-Time Symmetries
Mathematical Physics
Atomic
Molecular
Nuclear
Particle and Plasma Physics
Quantum Physics
Nuclear & Particles Physics
Mathematical physics
Nuclear and plasma physics
Particle and high energy physics
Language
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.