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We compare four-- and five--flavour scheme predictions for $b$-associatedproduction of $Z$ and Higgs bosons. The results are obtained with \Sherpa'sMC@NLOimplementation for the four--flavour scheme, treating the $b$'s asmassive, and with multijet merging at leading and next-to leading order for thefive--flavour schemes. Comparison with data for $Z+b(\bar{b})$ production atthe $7$ TeV LHC exhibit strengths and weaknesses of the different approachesand are used to validate predictions for $b$-associated Higgs-boson productionat the 13 TeV Run II.

Simulating $b$-associated production of $Z$ and Higgs bosons with SHERPA