@misc{10481/93347, year = {2024}, month = {5}, url = {https://hdl.handle.net/10481/93347}, abstract = {In the effective field theory (EFT), the positivity bound on dim-8 effective operators tells us that the s2 contribution in the scattering amplitude of 2-to-2 process geometrically corresponds to the convex cone composed of the ultraviolet (UV) states as the extremal rays. The J-Basis method can provide a complete group theory decomposition of the scattering amplitude on the direct product of the gauge group and the Lorentz group, thus to search for all UV states. Compared to previous methods, which can only perform direct product decomposition on the gauge groups, the J-Basis method greatly improves the strictness of the restrictions and also provides a systematic scheme for calculating the positivity bounds of the dim-8 operators.}, organization = {J-Basis framework and ABC4EFT Code}, organization = {National Science Foundation of China under Grants No. 12022514, No. 12375099, No. 12047503, No.11725520, No.11675002, No.12075257, No.12235001}, organization = {National Key Research and Development Program of China Grant No. 2020YFC2201501, and No.2021YFA0718304}, organization = {CNS2022-136024 funded by the European Union NextGenerationEU/PRTR.}, publisher = {Springer}, keywords = {Effective Field Theories}, keywords = {SMEFT,}, keywords = {Other Weak Scale BSM Models}, title = {Positivity from J-Basis operators in the standard model effective Field Theory}, doi = {10.1007/JHEP05(2024)221}, author = {Chengjie, Yang and Ren, Zhe and Jiang Hao, Yu}, }