Effective Field Theory of Integrating out Sfermions in the MSSM: Complete One-Loop Analysis

TL;DR

This paper performs a comprehensive one-loop analysis of the effective field theory resulting from integrating out sfermions in the MSSM, providing detailed Wilson coefficients and exploring experimental constraints.

Contribution

It introduces the complete one-loop matching of sfermions to dimension-6 operators in the SMEFT, including nondegenerate soft masses and both logarithmic and non-logarithmic contributions.

Findings

Constraints on stop masses can be probed at future FCC-ee experiments.

The analysis includes nondegenerate soft supersymmetry breaking masses.

Wilson coefficients are analytically derived for all pure bosonic dimension-6 operators.

Abstract

We apply the covariant derivative expansion of the Coleman-Weinberg potential to the sfermion sector in the minimal supersymmetric standard model, matching it to the relevant dimension-6 operators in the standard model effective field theory at one-loop level. Emphasis is paid to nondegenerate large soft supersymmetry breaking mass squares, and the most general analytical Wilson coefficients are obtained for all pure bosonic dimension-6 operators. In addition to the non-logarithmic contributions, they generally have another logarithmic contributions. Various numerical results are shown, in particular the constraints in the large $X_t$ branch reproducing the $125$~GeV Higgs mass can be pushed to high values to almost completely probe the low stop mass region at the future FCC-ee experiment, even given the Higgs mass calculation uncertainty.