CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory

TL;DR

CoDEx is a Mathematica package that calculates Wilson coefficients for effective operators up to dimension-6, integrating out heavy BSM fields and evolving operators to the electroweak scale, aiding in connecting UV theories to low-energy phenomenology.

Contribution

It provides a user-friendly tool to compute and RG evolve Wilson coefficients from BSM models with heavy fields, up to 1-loop, in two different operator bases.

Findings

Calculates Wilson coefficients at high scale for various heavy fields.

Performs RG evolution of operators to electroweak scale.

Supports models with heavy fields of spin 0, 1/2, and 1.

Abstract

CoDEx is a Mathematica package that calculates the Wilson Coefficients (WCs) corresponding to effective operators up to mass dimension-6. Once the part of the Lagrangian involving single as well as multiple degenerate heavy fields, belonging to some Beyond Standard Model (BSM) theory, is given, the package can then integrate out propagators from the tree as well as 1-loop diagrams of that BSM theory. It then computes the associated WCs up to 1-loop level, for two different bases: "Warsaw" and "SILH". CoDEx requires only very basic information about the heavy field(s), e.g., Colour, Isospin, Hyper-charge, Mass, and Spin. The package first calculates the WCs at the high scale (mass of the heavy field(s)). We then have an option to perform the renormalisation group evolutions (RGEs) of these operators in "Warsaw" basis, a complete one (unlike "SILH"), using the anomalous dimension matrix. Thus, one can get all effective operators at the electro-weak scale, generated from any such BSM theory, containing heavy fields of spin: 0, 1/2, and 1. We have provided many example models (both here and in the package-documentation) that more or less encompass different choices of heavy fields and interactions. Relying on the status of the present day precision data, we restrict ourselves up to dimension-6 effective operators. This will be generalised for any dimensional operators in a later version. Site: https://effexteam.github.io/CoDEx