Abstract
We investigate the little hierarchy between Z boson mass and the SUSY breaking scale in the context of landscape of electroweak symmetry breaking vacua. We consider the radiative symmetry breaking and found that the scale where the electroweak symmetry breaking conditions are satisfied and the average stop mass scale is preferred to be very close to each other in spite of the fact that their origins depend on different parameters of the model. If the electroweak symmetry breaking scale is fixed at about 1 TeV by the supersymmetry model parameters then the little hierarchy seems to be preferred among the electroweak symmetry breaking vacua. We characterize the little hierarchy by a probability function and the mSUGRA model is used as an example to show the 90% and 95% probability contours in the experimentally allowed region. We also investigate the size of the Higgsino mass μ by considering the distribution of electroweak symmetry breaking scale.
Highlights
One of the key motivations for supersymmetric (SUSY) extension of the Standard Model (SM) is the stabilization of the large hierarchy between the Planck scale and the weak scale
The absence of the SUSY signals at LEP and Tevatron has pushed up the SUSY particle mass scale compared to the MZ scale
It is said that naturalness of the electroweak symmetry breaking requires the smallness of the Higgsino mass μ
Summary
One of the key motivations for supersymmetric (SUSY) extension of the Standard Model (SM) is the stabilization of the large hierarchy between the Planck scale and the weak scale. One can conclude that the hierarchy between the SUSY breaking mass scale and Z boson mass is not preferred unless μ2 and m2Hu are related in a given SUSY breaking model This is called naturalness of the electroweak symmetry breaking. Can one understand the hierarchy between the SUSY breaking mass scale and the Z boson mass from the distribution of the model parameters? We determine whether the proximity of Q0 and Qtis natural in a large number of vacua If this closeness is enough probable in the landscape of the electroweak symmetry breaking vacua, the hierarchy between the SUSY breaking scale and MZ can be rationalized when Q0 is at TeV scale due to a model parameter.
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