The next-to-leading corrections to the jet vertex which is relevant for the Mueller--Navelet jets production in hadronic collisions and for the forward jet cross section in lepton--hadron collisions are presented in the context of a k_t factorizazion formula which resums the leading and next-to-leading logarithms of the energy. Both the quark- and gluon-initiated contribution are now computed. This completes the framework for a full phenomenological analysis of Mueller--Navelet jets in NL \log (s) approximation. Forward jets phenomenology still requires the NL photon impact factor.

PACS numbers: 12.38.Bx, 12.38.Cy, 11.55.Jy