Abstract
The prediction for the Higgs mass in the dark matter selected high-scale SUSY is explored. We show the bounds on SUSY-breaking scale in models of SM $+\tilde{w}$ and SM $+\tilde{h}/\tilde{s}$ due to the observed Higgs mass at the LHC. We propose that effective theory below scale $\tilde{m}$ described by SM $+\tilde{w}$ is possibly realized in gauge mediation with multiple spurion fields that exhibit significant mass hierarchy, and that by SM $+\tilde{h}/\tilde{s}$ can be realized with direct singlet-messenger-messenger coupling for singlet Yukawa coupling $\lambda\sim(v/\tilde{m})^{1/2}g_{\text{SM}}$. Finally, the constraint on high-scale SUSY is investigated in the light of inflation physics if these two subjects are directly related.
Highlights
Higgs massWe estimate the prediction for the Higgs mass
The other class was firstly studied in [9], in which R-symmetry breaking isn’t suppressed, and either some new parity instead of R symmetry keeps higgsino (h) and singlino (s) light or there exists a light wino w DM due to environmental selection
We propose that effective theory below scale mdescribed by SM +wis possibly realized in gauge mediation with multiple spurion fields that exhibit significant mass hierarchy, and that by SM +h/scan be realized with direct singlet-messenger-messenger coupling for singlet Yukawa coupling λ ∼ (v/m )1/2gSM
Summary
We estimate the prediction for the Higgs mass. Similar to the case of split SUSY [8], we use the updated experimental values of top quark mass Mt = 173.3 ± 0.76 GeV [20] and QCD coupling α3(MZ) = 0.1184 ± 0.0007 [21] for our analysis. The measured value for the Higgs mass, Mh = 125.15 ± 0.25 GeV is obtained from a naive average of the ATLAS and CMS results [4,5,6]. As the Higgs mass is rather sensitive to top Yukawa, the dominant one-loop QCD corrections to top Yukawa δyt ≃ −0.065 [7, 19] will be applied to derive the prediction
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