Back-to-back azimuthal correlations in $$\mathrm {Z} +$$jet events at high transverse momentum in the TMD parton branching method at next-to-leading order

Azimuthal correlations in Z+jet production at large transverse momenta are computed by matching Parton - Branching (PB) TMD parton distributions and showers with NLO calculations via MCatNLO. The predictions compared those for dijet the same kinematic range. azimuthal $\Delta\phi$ between Z boson leading jet steeper to ${\cal O}(100)$ GeV, while they become similar very high O}(1000)$ GeV. different patterns of can be used search potential {\it factorization breaking} effects back-to-back region, which depend on color spin structure final states their interferences initial states. In order investigate these experimentally, we propose measure ratio multijet low momenta, compare results obtained assuming factorization. We examine role theoretical uncertainties performing variations scale, renormalization scale scale. particular, present a comparative study cases PB-TMD collinear showers.