Vector-like leptons and extra gauge symmetry for the natural Higgs boson

Abstract

For raising the radiative Higgs mass without a serious fine-tuning in the Higgs sector, we introduce vector-like lepton doublets and neutral singlets {L,L^c; N,N^c}, and consider their order one Yukawa coupling to the Higgs, W \supset y_NLh_uN^c. The 125 GeV Higgs mass can be naturally explained with the stop mass squared of ~(500 GeV)^2 and even without the "A-term" contributions. It is possible because of the quartic power of y_N in the radiative Higgs mass correction, and much less stringent mass bounds on extra leptonic matter. In order to avoid blowup of y_N at higher energy scales, a non-Abelian gauge extension of the MSSM is attempted, under which {L,L^c; N,N^c} are charged, while all the ordinary MSSM superfields remain neutral. We discuss the gauge coupling unification. This mechanism can be applied also for enhancing h^0 \rightarrow \gamma\gamma with W \supset y_EL^ch_uE, if the charged lepton singlets {E,E^c} are also introduced.