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.
Cite
@article{arxiv.hep-ph/0505257,
title = {Minimal string-scale unification of gauge couplings},
author = {D. Emmanuel-Costa and R. Gonzalez Felipe},
journal= {arXiv preprint arXiv:hep-ph/0505257},
year = {2009}
}
Comments
12 pages, 2 figures, references updated and comments added, final version to appear in Phys. Lett. B