Abstract
The sweet spot supersymmetry (SUSY) solves the μ/B μ problem in the Minimal Supersymmetric Standard Model (MSSM) with gauge mediated SUSY breaking (GMSB) via the generalized Giudice-Masiero (GM) mechanism where only the μ-term and soft Higgs masses are generated at the unification scale of the Grand Unified Theory (GUT) due to the approximate PQ symmetry. Because all the other SUSY breaking soft terms are generated via the GMSB below the GUT scale, there exists SUSY electroweak (EW) fine-tuning problem to explain the 125 GeV Higgs boson mass due to small trilinear soft term. Thus, to explain the Higgs boson mass, we propose the GMSB with both the generalized GM mechanism and Higgs-messenger interactions. The renormalization group equations are runnings from the GUT scale down to EW scale. So the EW symmetry breaking can be realized easier. We can keep the gauge coupling unification and solution to the flavor problem in the GMSB, as well as solve the μ/B μ -problem. Moreover, there are only five free parameters in our model. So we can determine the characteristic low energy spectra and explore its distinct phenomenology. The fine-tuning measure can be as low as 100. For some benchmark points, the stop mass can be as low as 1.7 TeV while the glunio mass is around 2.5 TeV. The gravitino dark matter can come from a thermal production with the correct relic density and be consistent with the thermal leptogenesis. Because gluino and stop can be relatively light in our model, how to search for such GMSB at the upcoming run II of the LHC experiment could be very interesting.
Highlights
Where mt is the top quark mass, v = 174 GeV is vacuum expectation value (VEV) for electroweak symmetry breaking (EWSB), MSUSY = √mt1mt2 is the geometric mean of stop masses, and At is defined by
When the renormalization group equations (RGEs) run from the Grand Unified Theory (GUT) scale to messenger scale, the Yukawa coupling Yt will persistently provide negative contributions to m2Hu even if all the gaugino masses are still vanishing during the running
The RGEs are run from the GUT scale down to EW scale
Summary
We present the GMSB with the generalized GM mechanism and Higgsmessenger interaction. In order to generate a non-vanishing At-term at the messenger scale, an extended Higgs-messenger coupling λuHuΦ1Φ 2 has always been introduced in GMSB [29,30,31,32,33,34,35,36,37,38,39]. In those SUSY models, the Yukawa coupling λd between Hd and messenger fields always turns off, otherwise the μ/Bμproblem will show up.
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