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."

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