125 GeV Higgs boson as a pseudo-Goldstone boson in supersymmetry with vectorlike matters

Abstract

We propose a possibility of the 125 GeV Higgs being a pseudo-Goldstone boson in supersymmetry with extra vectorlike fermions. Higgs mass is obtained from loops of top quark and vectorlike fermions from the global symmetry breaking scale $f$ at around TeV. The $\ensuremath{\mu}$, $B\ensuremath{\mu}/\ensuremath{\mu}\ensuremath{\sim}f$ are generated from the dynamics of global symmetry breaking and the Higgs quartic coupling vanishes at $f$ as $\mathrm{tan}\ensuremath{\beta}\ensuremath{\simeq}1$. The relation of ${m}_{\mathrm{soft}}\ensuremath{\sim}4\ensuremath{\pi}{M}_{Z}$ with $f\ensuremath{\sim}\ensuremath{\mu}\ensuremath{\sim}{m}_{\mathrm{soft}}\ensuremath{\sim}\mathrm{TeV}$ is obtained, and large $\ensuremath{\mu}$ does not cause a fine-tuning for the electroweak symmetry breaking. The Higgs-to-diphoton rate can be enhanced from the loop of uncolored vectorlike matters. The stability issue of the Higgs potential with vectorlike fermions can be cured if the UV model with the Goldstone picture is provided.