Abstract
We consider a simple setup with light squarks which is free from the gravitino and SUSY flavor problems. In our setup, a SUSY breaking sector is sequestered from the matter and gauge sectors, and it only couples to the Higgs sector directly with mathcal{O}(100) TeV gravitino. Resulting mass spectra of sfermions are split: the first and second generation sfermions are light as mathcal{O}(1) TeV while the third generation sfermions are heavy as mathcal{O}(10) TeV. The light squarks of mathcal{O}(1) TeV can be searched at the (high-luminosity) LHC and future collider experiments. Our scenario can naturally avoid too large flavor-changing neutral currents and it is consistent with the ϵK constraint. Moreover, there are regions explaining the muon g − 2 anomaly and bottom-tau/top-bottom-tau Yukawa coupling unification simultaneously.
Highlights
Splitting mass spectra are generated at quantum level dominantly through Higgs-loop effects [15]: the sfermion masses are hierarchical in generations at the low-energy scale
We show that the region explaining the muon g − 2 anomaly is enlarged, while the region consistent with the Yukawa coupling unification moves toward the muon g − 2 region
In the region with larger |ch| some of the squark masses are comparable to the wino mass. (We focus on the region where the wino is the lightest SUSY particle.) In this region, the LHC constraints are relaxed because a jet produced from the squark decay has a too small transverse energy
Summary
Let us explain the setup of Higgs-Anomaly mediation. In Higgs-Anomaly mediation, the Higgs soft masses are non-vanishing and negative. Due to the μ tan β enhancement, this term can contribute several GeVs to the Higgs boson mass, for small |ch| and large tan β. Since the masses of the third generation squarks are positive and O(0.1) m3/2 at the lowenergy scale, the above contribution is negative. Notice that the masses of the right-handed up-type squarks are almost degenerate due to the suppressed Yukawa couplings of charm and up quarks. The LHC can test light squarks with wino mass 600 GeV, corresponding to m3/2 200 TeV [48,49,50]. This region is within the reach of the 33 TeV collider
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