“…Such dependence allows us to identify regions of the parameter space preferred by given Yukawa relations and, on the other hand, it might provide a powerful tool to test highenergy physics, such as GUT or fermion mass models, once signals of SUSY would be discovered at the LHC. For recent examples of such interplay, see [9][10][11]. In the view of the present and future SUSY searches at the LHC, it can be of interest to check whether peculiar Yukawa GUT ratios, and thus high-energy SUSY scenarios, are favoured by naturalness considerations.…”
We analyse the fine-tuning in the Constrained Minimal Supersymmetric Standard Model (CMSSM) in the light of the present and expected ATLAS and CMS SUSY searches. Even with 10 fb −1 of data and no discovery of SUSY valid regions might remain with finetuning less than 20. Moreover we investigate the fine-tuning price of GUT scale Yukawa coupling relations. Considering a 2σ constraint for (g − 2) µ and fine-tuning less than 30 yields an allowed range of y τ /y b = [1.31, 1.70], which points towards the alternative GUT prediction y τ /y b = 3/2. Relaxing the (g − 2) µ constraint to 5σ extends the possible region to [1.02,1.70], allowing for approximate b − τ Yukawa coupling unification.
“…Such dependence allows us to identify regions of the parameter space preferred by given Yukawa relations and, on the other hand, it might provide a powerful tool to test highenergy physics, such as GUT or fermion mass models, once signals of SUSY would be discovered at the LHC. For recent examples of such interplay, see [9][10][11]. In the view of the present and future SUSY searches at the LHC, it can be of interest to check whether peculiar Yukawa GUT ratios, and thus high-energy SUSY scenarios, are favoured by naturalness considerations.…”
We analyse the fine-tuning in the Constrained Minimal Supersymmetric Standard Model (CMSSM) in the light of the present and expected ATLAS and CMS SUSY searches. Even with 10 fb −1 of data and no discovery of SUSY valid regions might remain with finetuning less than 20. Moreover we investigate the fine-tuning price of GUT scale Yukawa coupling relations. Considering a 2σ constraint for (g − 2) µ and fine-tuning less than 30 yields an allowed range of y τ /y b = [1.31, 1.70], which points towards the alternative GUT prediction y τ /y b = 3/2. Relaxing the (g − 2) µ constraint to 5σ extends the possible region to [1.02,1.70], allowing for approximate b − τ Yukawa coupling unification.
“…It has been shown in [9] that in many SUSY scenarios the new SU(5) relations like y τ =y b ¼ − 3 2 or y μ =y s ¼ 9 2 or 6 are often favored compared to bottom-tau Yukawa unification or the Georgi-Jarlskog relation. The implications of these new relations were studied, for instance, in [14][15][16]. In any case, towards making progress in building SUSY or non-SUSY GUT models of flavor, it is important to be aware of the full set of possibilities and to study their phenomenological consequences.…”
We propose new predictions from grand unified theories (GUTs) [applicable to both supersymmetric (SUSY) and non-SUSY models] for the ratios of quark and lepton Yukawa couplings. These new predictions arise from splitting the masses of the messenger fields for the GUT-scale Yukawa operators by Clebsch-Gordan factors from GUT symmetry breaking. This has the effect that these factors enter inversely in the predicted quark-lepton Yukawa coupling ratios, leading to new possible GUT predictions. We systematically construct the new predictions that can be realized in this way in SU(5) GUTs and Pati-Salam unified theories and discuss model building applications.
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