Yukawa Unification in an SO(10) SUSY GUT: SUSY on the Edge

Abstract

In this paper we analyze Yukawa unification in a three family SO(10) SUSY GUT. We perform a global ${\chi }^2$ analysis and show that SUSY effects do not decouple even though the universal scalar mass parameter at the GUT scale, $m_{16}$, is found to lie between 15 and 30 TeV with the best fit given for $m_{16}\approx 25$ TeV. Note, SUSY effects don't decouple since stops and bottoms have mass of order 5 TeV, due to RG running from $M_{GUT}$. The model has many testable predictions. Gauginos are the lightest sparticles and the light Higgs boson is very much Standard Model-like. The model is consistent with flavor and CP observables with the $BR(\mu \to e\gamma )$ close to the experimental upper bound. With such a large value of $m_{16}$ we clearly cannot be considered "natural" SUSY nor are we "Split" SUSY. We are thus in the region in between or "SUSY on the Edge."

23 pages, 3 figures, 9 tables; Changed title, added references for Section 3.2; Typos corrected

References in corpus (11)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Observation of the rare $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay from the combined analysis of CMS and LHCb data
• SuperIso v3.0: A program for calculating flavor physics observables in 2HDM and supersymmetry
• SUSY models under siege: LHC constraints and electroweak fine-tuning
• Compressed supersymmetry and natural neutralino dark matter from top squark-mediated annihilation to top quarks
• SO(10) SUSY GUT for Fermion Masses : Lepton Flavor and CP Violation
• Yukawa Unification Predictions for the LHC
• Challenging SO(10) SUSY GUTs with family symmetries through FCNC processes
• LHC Phenomenology of SO(10) Models with Yukawa Unification II
• Dark Matter at the Pseudoscalar Higgs Resonance in the pMSSM and SUSY GUTs

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