  Grand unified theories (GUTs) and extra dimensions are potential ingredients
of the new physics that may resolve various outstanding problems of the
Standard Model. If the inverse size of (one of) the extra dimension(s) is
smaller than the GUT scale and standard gauge bosons are allowed to propagate
in the bulk then, among other consequences, the evolution of the gauge
couplings deviates from the usual logarithmic running somewhat below and
between these two scales.
  In this work, we show that if the compactification scale is the order of 10
TeV, then this modified running may be observable at the CERN Large Hadron
Collider in the dijet invariant mass distribution. We also demonstrate that
dijets are highly sensitive to the renormalization effects of the extra
dimensions, and are potential tools for determining the number of dimensions
and the value of the compactification scale.
