Minimal string-scale unification of gauge couplings

Abstract

We look for the minimal particle content which is necessary to add to the standard model in order to have a complete unification of gauge couplings and gravity at the weakly coupled heterotic string scale. Using the current precision electroweak data, we find that the presence of a vector-like fermion at an intermediate scale and a non-standard hypercharge normalization are in general sufficient to achieve this goal at two-loop level. If one requires the extra matter scale to be below the TeV scale, then it is found that the addition of three vector-like fermion doublets with a mass around 700 GeV yields a perfect string-scale unification, provided that the affine levels are kY=13/3, k2=1 and k3=2, as in the SU(5) X SU(5) string-GUT. Furthermore, if supersymmetry is broken at the unification scale, the Higgs mass is predicted in the range 125 GeV - 170 GeV, depending on the precise values of the top quark mass and tan(beta) parameter.

12 pages, 2 figures, references updated and comments added, final version to appear in Phys. Lett. B

References in corpus (3)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• ${\alpha }_s$ at Zinnowitz 2004
• Axion Models with High-Scale Supersymmetry Breaking

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