Strings at the Intermediate Scale, or is the Fermi Scale Dual to the Planck Scale?

C. P. Burgess; L. E. Ibanez; F. Quevedo

doi:10.1016/S0370-2693(99)00006-4

paper

Strings at the Intermediate Scale, or is the Fermi Scale Dual to the Planck Scale?

arXiv:hep-ph/9810535 · doi:10.1016/S0370-2693(99)00006-4

Abstract

We show that if the string scale is identifed with the intermediate scale, $M_{s} = M_{W} M_{P l an c k} \sim 1 0^{11}$ GeV, then the notorious hierarchy, $M_{W} / M_{P l an c k} \sim 1 0^{- 16}$ , can be explained using only $M_{c} / M_{s} \sim 0.01 \sim α_{G U T}$ as small input parameters, where $M_{c}$ is the compactification scale. This is possible for weakly-coupled Type-I open-string vacua if the observed world is assumed to live in an N=1 supersymmetric 3-brane sector coupled to a separate, hidden, 3-brane world which breaks supersymmetry, because for such a model $M_{W} / M_{P l an c k} = 1/2 α_{G U T}^{2} (M_{c} / M_{s})^{6}$ . We discuss some of the phenomenological issues presented by such an intermediate-scale string, showing that its benefits include: (i) the possibility of logarithmic gauge-coupling unification of the SM couplings at $M_{s}$ ; (ii) a natural axionic solution to the strong-CP problem with a phenomenologically-acceptable Peccei-Quinn scale; (iii) experimentally-interesting neutrino masses, and more.

16 pages, LaTeX, no figures

Strings at the Intermediate Scale, or is the Fermi Scale Dual to the Planck Scale?

Abstract

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