  In this study, we present our latest findings regarding azimuthal
distributions in vector boson + jets and multi-jet production at the Large
Hadron Collider (LHC). These findings result from matching next-to-leading
order (NLO) perturbative matrix elements with transverse momentum dependent
(TMD) parton branching. We conduct a comprehensive comparative analysis of
azimuthal correlations between Z boson-jet and jet-jet systems in the
back-to-back region. These distinct azimuthal correlation patterns can help
identify potential factorization-breaking effects in this region. Such effects
depend on the different color and spin structures of the final states and their
interactions with the initial states.
