Constraining Grand Unification using first and second generation sfermions

Abstract

We investigate the spectrum of supersymmetric grand unification models based on the gauge groups SU(5), SO(10) and E6, paying particular attention to the first and second generation. We demonstrate how the measurement of the first or second generation sfermion spectrum may be used to constrain the underlying grand unification structure. The smallness of first and second generation Yukawa interactions allows us to perform an analytic analysis, deriving expressions for the high scale parameters in terms of the low scale sfermion masses. We also describe a sum rule that provides an SO(10) mass prediction, distinct from SU(5), and discuss E6 models, both with and without extra exotic matter at low energies. The derived relations are compared with numerical results including two-loop running and the full Yukawa dependence.

21 pages, 2 figures (with 3 subfigures each). Version published in Phys. Rev. D

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• Dark matter candidates in the constrained Exceptional Supersymmetric Standard Model
• Muon g-2, Neutralino Dark Matter and Stau NLSP
• LHC signatures of neutral pseudo-Goldstone boson in the E6CHM
• Compressed and Split Spectra in Minimal SUSY SO(10)
• Baryon asymmetry generation in the E6CHM
• Supersymmetric SU(5) Grand Unification for a Post Higgs Boson Era
• The Hierarchy Solution to the LHC Inverse Problem