Speaker
Description
Axions and axion-like particles (ALPs) hold promise in addressing fundamental puzzles in physics. In this talk, we use effective field theories (EFTs) to investigate the intricate interactions between ALPs and Standard Model particles across various energy scales. Employing Hilbert series techniques, we unveil the underlying structure of these interactions, distinguishing between those that preserve or break shift symmetry. Our analysis extends to computing the Hilbert series and constructing operator bases up to dimension 8 for both aSMEFT and aLEFT. Additionally, we use the Hilbert series method to enumerate sources of CP violation in terms of CP-even, CP-odd, and CP-violating operators. Complementing theoretical insights, we introduce a Mathematica package for Hilbert series computations. This package is designed to address general problems, allowing people to use it for a wide range of applications beyond the scope of ALP EFTs.
