This is the website for the Mathematica package: Amplitude Basis Construction for Effective Field Theories (ABC4EFT).
Package
This package has the following features:
It provides a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theory, given any kind of gauge symmetry and field content, up to any mass dimension.
Various operator bases have been systematically constructed to emphasize different aspects: operator independence (y-basis), flavor relation (p-basis) and conserved quantum number (j-basis).
It provides a systematic way to convert any operator into our on-shell amplitude basis and the basis conversion can be easily done.
Authors
The collaboration group at Institute of Theoretical Physics, CAS Beijing (ITP-CAS)
Hao-Lin Li (previously postdoc at ITP-CAS, now postdoc at UC Louvain)
Zhe Ren (4th-year graduate student at ITP-CAS)
Ming-Lei Xiao (previously postdoc at ITP-CAS, now postdoc at Northwestern and Argonne)
You can always find the latest (may not stable) version at the following github link.
Publications
If you use this package, please cite the following paper:
Hao-Lin Li, Zhe Ren, Ming-Lei Xiao, Jiang-Hao Yu, Yu-Hui Zheng, Operators For Generic Effective Field Theory at any Dimension: On-shell Amplitude Basis Construction, arXiv: 2201.04639 [hep-ph].
The package were developed based on the following works:
Hao-Lin Li, Zhe Ren, Jing Shu, Ming-Lei Xiao, Jiang-Hao Yu, Yu-Hui Zheng, Complete Set of Dimension-8 Operators in the Standard Model Effective Field Theory. arXiv:2005.00008 [hep-ph]. Phys.Rev.D 104 (2021) 1, 015026.
Hao-Lin Li, Zhe Ren, Ming-Lei Xiao, Jiang-Hao Yu, Yu-Hui Zheng, Complete Set of Dimension-9 Operators in the Standard Model Effective Field Theory. arXiv:2007.07899 [hep-ph]. Phys.Rev.D 104 (2021) 1, 015025.
Hao-Lin Li, Zhe Ren, Ming-Lei Xiao, Jiang-Hao Yu, Yu-Hui Zheng, Low Energy Effective Field Theory Operator Basis at d≤9, arXiv:2012.09188 [hep-ph]. JHEP 2106 (2021) 138.
Hao-Lin Li, Zhe Ren, Ming-Lei Xiao, Jiang-Hao Yu, Yu-Hui Zheng, Operator Bases in Effective Field Theories with Sterile Neutrinos: d≤9, arXiv:2105.09329 [hep-ph]. JHEP 2111(2021)003.
Funding Support
These works were supported by the National Science Foundation of China under Grants No. 12022514, No. 11875003 and No. 12047503, and National Key Research and Development Program of China Grant No. 2020YFC2201501, No. 2021YFA0718304, and CAS Project for Young Scientists in Basic Research YSBR-006, the Key Research Program of the CAS Grant No. XDPB15.