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

High-$p_T$ Azimuthal Correlations of Z+jet and Multi-jet Production