Effective description of general extensions of the Standard Model: the complete tree-level dictionary

Abstract

We compute all the tree-level contributions to the Wilson coefficients of the dimension-six Standard-Model effective theory in ultraviolet completions with general scalar, spinor and vector field content and arbitrary interactions. No assumption about the renormalizability of the high-energy theory is made. This provides a complete ultraviolet/infrared dictionary at the classical level, which can be used to study the low-energy implications of any model of interest, and also to look for explicit completions consistent with low-energy data.

Comments: Latex, 23 pages + appendices + references, 1 figure, 9 tables. Extended discussion on the use of the results presented in appendix D. New references and comments. Minor corrections. Published version