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Naturalness and GUT Scale Yukawa Coupling Ratios in the CMSSM · Around

2011

Naturalness and GUT Scale Yukawa Coupling Ratios in the CMSSM

Antusch, Stefan, Calibbi, Lorenzo, Maurer, Vinzenz et al.

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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 of data and no discovery of SUSY valid regions might remain with fine-tuning less than 20.
Moreover we investigate the fine-tuning price of GUT scale Yukawa coupling relations.
Considering a 2$\sigma$ constraint for $(g-2)_\mu$ and fine-tuning less than 30 yields an allowed range of $y_\tau/y_b = [1.31,1.70]$, which points towards the alternative GUT prediction $y_\tau/y_b = 3/2$.

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