  We study the production of two forward jets with a large interval of rapidity
at hadron colliders, which was proposed by Mueller and Navelet as a possible
test of the high energy dynamics of QCD, within a complete next-to-leading
logarithm framework. We show that using the Brodsky-Lepage-Mackenzie procedure
to fix the renormalization scale leads to a very good description of the recent
CMS data at the LHC for the azimuthal correlations of the jets. We show that
the inclusion of next-to-leading order corrections to the jet vertex
significantly reduces the importance of energy-momentum non-conservation which
is inherent to the BFKL approach, for an asymmetric jet configuration. Finally,
we argue that the double parton scattering contribution is negligible in the
kinematics of actual CMS measurements.
