Mirage Gauge Coupling Unification and TeV Scale Strings

TL;DR

This paper explores gauge coupling unification at a high scale within TeV scale string models, showing conditions under which couplings mimic grand unification despite low string scales.

Contribution

It demonstrates that gauge couplings in TeV scale string models can effectively unify at a high scale under specific anomaly coefficient conditions.

Findings

Gauge couplings can unify at ~2x10^{16} GeV in TeV scale string models.

Unification depends on the ratio of anomaly coefficients to beta functions.

Modified relations between gauge coupling and dilaton VEV allow for weakly coupled theories from strongly coupled strings.

Abstract

We consider gauge coupling unification in models with TeV scale strings and large compact dimensions realized as type IIB string orientifolds. Following an observation by Ibanez we show that the gauge couplings at low energies can behave as if they effectively unify at $M_U \sim 2 \times 10^{16} GeV$ with $\alpha_U \sim 1/24$. This requires the $\sigma$ model anomaly coefficients $b_a^{i'}$ not to be all equal and their ratio to the $\beta$-functions of minimally supersymmetric Standard Model $\beta_a$ to be a constant independent of the gauge group. If, in addition, $b_a^{i'}$ have a gauge group independent constant piece the relation between the unified gauge coupling and the dilaton VEV is modified so that there can be weakly coupled gauge theories arising from strongly coupled strings.