Abstract
The effective field theory approach parameterizes the low energy behaviors of all possible ultraviolet (UV) theories in a systematic way. One of the most important tasks is thus to find the connection between the effective operators and their UV origins. The redundancy relations among operators make the connection very subtle, hence we proposed the J-basis prescription to illuminate the correspondence between operators and their UV resonances in the bottom-up way. In this work, we work out the dimension-8 J-basis operators in the standard model effective field theory (SMEFT), and find all the 146 (82) tree-level UV resonances along with their couplings up to mass dimension 5 (4). Furthermore, we point out a few subtleties on operator generation via field redefinition and on the UV Lagrangian for generic spin resonances. We also provide a data base storing our results and a Mathematica notebook for extracting those results for the reader’s conveinence.
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Acknowledgments
J.H.Y. is supported by the National Science Foundation of China under Grants No. 12347105, No. 12375099 and No. 12047503, and the National Key Research and Development Program of China Grant No. 2020YFC2201501, No. 2021YFA0718304. M.-L.X. is supported in part by the Jay Jones Fund in the Department of Physics and Astronomy at Northwestern University, and by the Junior Foundation of Sun Yat-Sen University. H.-L.L. is supported by the 4.4517.08 IISN-F.N.R.S convention.
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Li, HL., Ni, YH., Xiao, ML. et al. Complete UV resonances of the dimension-8 SMEFT operators. J. High Energ. Phys. 2024, 238 (2024). https://doi.org/10.1007/JHEP05(2024)238
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DOI: https://doi.org/10.1007/JHEP05(2024)238