  We investigate the effect of soft gluon radiations on the azimuthal angle
correlation between the total and relative momenta of two jets in inclusive and
exclusive dijet processes. We show that the final state effect induces a
sizable $\cos(2\phi)$ anisotropy due to gluon emissions near the jet cones. The
phenomenological consequences of this observation are discussed for various
collider experiments, including diffractive processes in ultraperipheral $pA$
and $AA$ collisions, inclusive and diffractive dijet production at the EIC, and
inclusive dijet in $pp$ and $AA$ collisions at the LHC.
