On Dark Matter Selected High-Scale Supersymmetry

TL;DR

This paper investigates the Higgs mass prediction in dark matter motivated high-scale supersymmetry models, exploring bounds on SUSY-breaking scales and potential realizations in gauge mediation and singlet coupling frameworks, with implications for inflation physics.

Contribution

It introduces new bounds on SUSY-breaking scales in specific models and proposes mechanisms for realizing these models through gauge mediation and singlet couplings.

Findings

Bounds on SUSY-breaking scale from Higgs mass at LHC

Proposed realization of models via gauge mediation with hierarchical spurions

Constraints on high-scale SUSY considering inflation physics

Abstract

The prediction for the Higgs mass in the dark matter selected high-scale SUSY is explored. We show the bounds on SUSY-breaking scale in models of SM $+\tilde{w}$ and SM $+\tilde{h}/\tilde{s}$ due to the observed Higgs mass at the LHC. We propose that effective theory below scale $\tilde{m}$ described by SM $+\tilde{w}$ is possibly realized in gauge mediation with multiple spurion fields that exhibit significant mass hierarchy, and that by SM $+\tilde{h}/\tilde{s}$ can be realized with direct singlet-messenger-messenger coupling for singlet Yukawa coupling $\lambda\sim(v/\tilde{m})^{1/2}g_{\text{SM}}$. Finally, the constraint on high-scale SUSY is investigated in the light of inflation physics if these two subjects are directly related.