Naturalness and GUT Scale Yukawa Coupling Ratios in the CMSSM

Details Naturalness and GUT Scale Yukawa Coupling Ratios in the CMSSM Naturalness and GUT Scale Yukawa Coupling Ratios in the CMSSM

2011-11-28

arxiv.org/abs/1111.6547v2

Phys.Rev. D85 (2012) 035025

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 3 figures; version published in PRD

Scientific paper

10.1103/PhysRevD.85.035025

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 $y_\tau/y_b = 3/2$. Relaxing the $(g-2)_\mu$ constraint to 5$\sigma$ extends the possible region to [1.02,1.70], allowing for approximate $b-\tau$ Yukawa coupling unification.

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