Effective field theory approach to trans-TeV supersymmetry: covariant matching, Yukawa unification and Higgs couplings

TL;DR

This paper develops an effective field theory framework to analyze trans-TeV supersymmetric models, incorporating covariant matching and Yukawa unification, to explore superpartner mass spectra and Higgs coupling implications beyond LHC reach.

Contribution

It introduces a covariant diagram-based one-loop matching method for MSSM to SMEFT, enabling detailed analysis of superpartner spectra and Higgs couplings in high-scale SUSY models.

Findings

Mapped superpartner mass solutions from TeV to above unification scale.

Identified parameter regions where future colliders can probe Higgs couplings.

Provided a comprehensive EFT approach for trans-TeV supersymmetry analysis.

Abstract

Dismissing traditional naturalness concerns while embracing the Higgs boson mass measurement and unification motivates careful analysis of trans-TeV supersymmetric theories. We take an effective field theory (EFT) approach, matching the Minimal Supersymmetric Standard Model (MSSM) onto the Standard Model (SM) EFT by integrating out heavy superpartners, and evolving MSSM and SMEFT parameters according to renormalization group equations in each regime. Our matching calculation is facilitated by the recent covariant diagrams formulation of functional matching techniques, with the full one-loop SUSY threshold corrections encoded in just 30 diagrams. Requiring consistent matching onto the SMEFT with its parameters (those in the Higgs potential in particular) measured at low energies, and in addition requiring unification of bottom and tau Yukawa couplings at the scale of gauge coupling unification, we detail the solution space of superpartner masses from the TeV scale to well above. We also provide detailed views of parameter space where Higgs coupling measurements have probing capability at future colliders beyond the reach of direct superpartner searches at the LHC.