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

TL;DR

This paper provides a comprehensive tree-level mapping between high-energy ultraviolet models and low-energy effective theories, enabling systematic analysis of potential extensions to the Standard Model without assuming renormalizability.

Contribution

It offers the first complete tree-level dictionary for dimension-six operators in the Standard Model effective theory with general high-energy field content and interactions.

Findings

Computed all tree-level contributions to Wilson coefficients.

Established a complete UV/IR dictionary at the classical level.

Facilitates study of low-energy implications of diverse models.

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.