One-Loop Threshold Effects in String Unification

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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revised version. 17 pages, no figures. Uses phyzzx macropackage

Scientific paper

Like grand unification of old, string unification predicts simple tree-level relations between the couplings of all unbroken gauge groups such as $SU(3)_C$ or $SU(2)_W\)$. I show here how to compute one-loop corrections to these relations for any four-dimensional model based on a classical vacuum of the heterotic string. The result can be used to calculate both $\sin^2\theta_W$ and $\Lambda_{\rm QCD}$ in terms of $\alpha_{\rm QED}$ and $\mpl\)$. The original version of this paper was written in 1987 and published in Nuclear Physics in 1988. That version had a few factor-of-two errors, which lead some people into confusion. To avoid future confusion, I've written Errata; they are submitted separately to hep-th (article #9205068). This submission is the complete revised version of the paper.

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