The path-integral measure of a gauge-invariant fermion theory is transformed under the chiral transformation and leads to an elegant derivation anomalous Ward-Takahashi identities, as we know from seminal work Fujikawa. We present in this alternative illuminating way calculate Jacobian covariant derivative expansion technique used effective field theory. several ways customize crucial regulariz...

Abstract is a package for the handling of standard model effective field theory (SMEFT) and low-energy (LEFT) with operators up to dimension six, both at algebraic numerical level. contains visually accessible operationally convenient repository all parameters SMEFT LEFT. This also provides information concerning symmetry categories number degrees freedom, routines that allow implement this on ...

This is a lightly edited version of the talk given on September 30, 2020 to inaugurate international seminar series {\it All Things EFT}. It reviews some early history effective field theories, and concludes with discussion implications theory for future discovery.