SUSY meets SMEFT: Complete one-loop matching of the general MSSM

TL;DR

This paper performs the first complete one-loop matching of the general MSSM onto SMEFT, providing a comprehensive basis for future phenomenological studies using EFT methods.

Contribution

It introduces a full one-loop matching procedure for the MSSM onto SMEFT considering all parameters and flavor structures, using the Matchete package.

Findings

Includes all correlations among SMEFT Wilson coefficients governed by supersymmetry.

Provides detailed treatment of the Higgs sector and electroweak symmetry breaking.

Validates results against existing literature and offers a minimal phenomenological example.

Abstract

We present the complete one-loop matching of the Minimal Supersymmetric Standard Model (MSSM) onto the Standard Model Effective Field Theory (SMEFT), considering the most general case for the MSSM with conserved $R$-parity, which has 124 free parameters. The matching is performed with the Matchete package, which integrates out all superpartners at once with non-degenerate masses, while also retaining the most general flavor structure. Our results include all correlations among the different SMEFT Wilson coefficients that are governed by supersymmetry and thus provide a basis for future systematic and global studies of the MSSM parameter space employing EFT methods. A detailed discussion is provided on the treatment of the Higgs sector and electroweak symmetry breaking, along with the reduction of redundant operators in the EFT Lagrangian to the Warsaw basis. Furthermore, we validate against existing results in the literature and present a minimal phenomenological example. As an alternative low-energy scenario, we also provide the complete one-loop matching of the MSSM onto the two-Higgs-doublet-model EFT, where the second Higgs doublet is retained in the infrared spectrum. Extensive auxiliary material, including the code utilized for the matching, is available on GitHub.