Abstract
We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under U(1)e.m. × SU(3)c, is constructed based on the on-shell method and Young Tableau technique. This EFT serves as a new formulation of the Higgs EFT (HEFT), which can describe the infrared effects of new physics at the electroweak symmetry-breaking phase with greater conciseness. The current HEFT operator basis has a clear physical interpretation, making it more accessible for research in phenomenology. A complete list of HEFT operator bases for any-point vertices up to any dimension could be provided, and three- and four-point bases are provided as examples. Additionally, this framework realized as Mathematica program can be used to construct the EFT of any type of dark matter or particles with any spin.
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Acknowledgments
This work is supported by the National Key Research and Development Program of China under Grant No. 2021YFC2203004. T.M. is supported by “Study in Israel” Fellowship for Outstanding Post-Doctoral Researchers from China and India by PBC of CHE and partially supported by grants from the NSF-BSF (No. 2018683), by the ISF (grant No. 482/20) and by the Azrieli foundation. J.S. is supported by the NSFC under Grants No. 12025507, No. 11690022, and No. 11947302, by the Strategic Priority Research Program and Key Research Program of Frontier Science of the Chinese Academy of Sciences (CAS) under Grants No. XDB21010200, No. XDB23010000, No. XDPB15, and No. ZDBS-LY-7003, and by the CAS Project for Young Scientists in Basic Research under Grant No. YSBR-006.
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Dong, ZY., Ma, T., Shu, J. et al. The new formulation of higgs effective field Theory. J. High Energ. Phys. 2023, 101 (2023). https://doi.org/10.1007/JHEP09(2023)101
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DOI: https://doi.org/10.1007/JHEP09(2023)101