Precision prediction of gauge couplings and the profile of a string theory

Details Precision prediction of gauge couplings and the profile of a string theory Precision prediction of gauge couplings and the profile of a string theory

2001-02-25

arxiv.org/abs/hep-ph/0102306v2

Nucl.Phys. B606 (2001) 101

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX, 6 figures, one reference added

Scientific paper

10.1016/S0550-3213(01)00234-6

We estimate the significance of the prediction for the gauge couplings in the MSSM with an underlying unification. The correlation between the couplings covers only (0.2-2)% of the a priori reasonable region of the parameter space, while the prediction for $\sin ^{2}\theta_{W}$ is accurate to 1.3%. Given that agreement with experiment to such precision is unlikely to be fortuitous, we discuss the profile of a string theory capable of preserving this level of accuracy. We argue that models with a low scale of unification involving power law running in the gauge couplings do not. Even theories with a high scale of unification are strongly constrained, requiring the compactification scale of new space dimensions in which states transforming under the Standard Model propagate to be very close to the string cut-off scale. As a result {\it no} new space dimensions can be larger than $10^{-14}fm.$

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