Enhanced Higgs Mass in Compact Supersymmetry

TL;DR

This paper investigates how Kaluza-Klein tower effects in compact supersymmetry models significantly enhance the Higgs mass, making the model more consistent with experimental observations and testable at the LHC.

Contribution

It calculates the Kaluza-Klein tower contributions to the Higgs mass, revealing a substantial enhancement that was previously underestimated.

Findings

Kaluza-Klein effects increase Higgs mass correction by 10-50%.

Higgs mass can be enhanced by up to 15 GeV.

Parameter space is testable at LHC run II.

Abstract

The current LHC results make weak scale supersymmetry difficult due to relatively heavy mass of the discovered Higgs boson and the null results of new particle searches. Geometrical supersymmetry breaking from extra dimensions, Scherk-Schwarz mechanism, is possible to accommodate such situations. A concrete example, the Compact Supersymmetry model, has a compressed spectrum ameliorating the LHC bounds and large mixing in the top and scalar top quark sector with $|A_t|\sim 2m_{\tilde{t}}$ which radiatively raises the Higgs mass. While the zero mode contribution of the model has been considered, in this paper we calculate the Kaluza-Klein tower effect to the Higgs mass. Although such contributions are naively expected to be as small as a percent level for 10 TeV Kaluza-Klein modes, we find the effect significantly enhances the radiative correction to the Higgs quartic coupling by from 10 to 50 %. This is mainly because the top quark wave function is pushed out from the brane, which makes the top mass depend on higher powers in the Higgs field. As a result the Higgs mass is enhanced up to 15 GeV from the previous calculation. We also show the whole parameter space is testable at the LHC run II.