Abstract
Mirage mediation realized in the Kachru-Kallosh-Linde-Trivedi (KKLT) flux compactification can naturally suppress the up-type Higgs soft mass at low energy scales. As a result, compared to the conventional scenarios, the degree of electroweak fine-tuning can be reduced further up to by a loop factor if the Higgsinos are much lighter than the heavy Higgs doublet. Interestingly, this feature holds even in high-scale supersymmetry as long as the gauge coupling unification, which is required as a prerequisite for mirage mediation, accommodates such light Higgsinos. Under the experimental constraints on the observed Higgs boson, it turns out that mirage mediation can exhibit low electroweak fine-tuning better than a few percent for stops between about 2 and 6 TeV, i.e., at the same level as in the weak scale supersymmetry, if the Higgsinos are around or below a few hundred GeV.
Highlights
INTRODUCTIONIt has been noticed that TeV scale mirage mediation can naturally suppress the low-energy value of the up-type Higgs soft mass through the combined effect of anomaly and moduli mediations [7,8]
Supersymmetry (SUSY) is a unique extension of the Poincarespacetime symmetry, and it has been extensively explored as one of the most plausible candidates for physics beyond the Standard Model (SM) because it can address various problems of the SM such as dark matter, unification, and cosmological inflation [1,2]
As it becomes more difficult to stabilize the electroweak scale against large radiative corrections from unknown ultraviolet physics, one might need to rely on some other mechanism, such as the cosmological relaxation [3], in order to explain the hierarchy between the SUSY breaking scale and the weak scale
Summary
It has been noticed that TeV scale mirage mediation can naturally suppress the low-energy value of the up-type Higgs soft mass through the combined effect of anomaly and moduli mediations [7,8] It can reduce the degree of fine-tuning for electroweak symmetry breaking roughly by a loop factor if the Higgsinos are much lighter than the heavy Higgs doublet. We stress that this naturalness feature persists even in mirage-mediated high-scale SUSY as long as the gauge coupling unification, which is a prerequisite for mirage mediation, allows the Higgsinos to be very light compared to other sparticles.
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