Using two methods, via fluctuations and correlations, an analytical fo
rmula is derived for the factorial multiplicity moments in a QCD jet a
t the Double Leading Logarithm accuracy. The resulting self-similar de
pendence on the solid-angle cell size is characteristic of an intermit
tency behaviour in angular variables. The intermittency indices depend
on the diffusion angle through the running of alpha(s). Physical feat
ures of jet fluctuations such as collimation at large angles and satur
ation at small angles are well described in the perturbative framework
. A parameter-free prediction of angular intermittency is proposed for
Z0 decays into hadrons, assuming hadron-parton duality.