Mass Hierarchies with $m_{h}=125$ GeV from Natural SUSY

TL;DR

This paper explores natural supersymmetry models to address the hierarchy of particle masses, the Higgs boson mass, and fine-tuning issues, proposing solutions within two-site SUSY frameworks that reduce fine-tuning compared to traditional MSSM.

Contribution

It demonstrates that two-site SUSY models can naturally accommodate a 125 GeV Higgs with reduced fine-tuning, addressing key puzzles in supersymmetric theories.

Findings

Fine tuning parameter $$ ranges from 20 to 400.

Two-site SUSY models can naturally explain the 125 GeV Higgs.

Mass hierarchies favor lighter third-family superpartners.

Abstract

Our study starts with a sequence of puzzles that include $(a)$ at which level $\mu$ problem involving electroweak symmetry breaking can be solved; $(b)$ in which paradigm masses of superpartners in the third family can be lighter than in the first two families; $(c)$ whether it is possible to accommodate 125 GeV Higgs boson simultaneously; and $(d)$ how natural such paradigm is. These issues are considered in the context of two-site SUSY models. Both the MSSM and NMSSM as low-energy effective theory below the scale of two-site gauge symmetry breaking are investigated. We find that the fine tuning can be indeed reduced in comparison with ordinary MSSM with $m_{h}=125$ GeV. In general, the fine tuning parameter $\Delta$ is in the range of $20-400$.