Standard model effective field theory from on-shell amplitudes* *T.M. is supported in part by a project (Y6Y2581B11) funded by 2016 National Postdoctoral Program for Innovative Talents. J.S. is supported by the National Natural Science Foundation of China (NSFC) (11847612, 11690022, 11851302, 11675243, 11761141011) and also supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB21010200, XDB23000000).

Abstract

We present a general method of constructing unfactorizable on-shell amplitudes (amplitude basis) and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory (EFT). We apply our method to the Standard Model EFT and identify the amplitude basis in dimensions 5 and 6, which correspond to the Weinberg operator and operators in the Warsaw basis, except for some linear combinations.