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The calculations of $Z + b{\bar b}$ tagged jet production performed in thefour- and five-flavour schemes allow for detailed comparison of the heavyflavour structure of collinear and transverse momentum dependent (TMD) partondistributions as well as for detailed investigations of heavy quarks radiatedduring the initial state parton shower cascade.  We have determined the first set of collinear and TMD parton distributions inthe four-flavour scheme with NLO DGLAP splitting functions within theParton-Branching (PB) approach. The four- and five-flavour PB-TMD distributionswere used to calculate $Z + b{\bar b}$ tagged jet production at LHC energiesand very good agreement with measurements obtained at $\sqrt{s} = 8, 13 $ TeVby the CMS and ATLAS collaborations is observed.  The different configurations of the hard process in the four- andfive-flavour schemes allow for a detailed investigation of the performance ofheavy flavor collinear and TMD parton distributions and the correspondinginitial TMD parton shower, giving confidence in the evolution of the PB-TMDparton densities as well as in the PB-TMD parton shower.

TMD parton densities and corresponding parton showers: the advantage of four- and five-flavour schemes