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The production of weak gauge bosons in association with heavy flavored mesonsat the LHCb conditions is considered, and a detailed study of the differentcontributing processes is presented including single (SPS) and double (DPS)parton scattering mechanisms. We find that the usual DPS factorization formulaneeds to be corrected for the limited partonic phase space, and that includingthe relevant corrections reduces discrepancies in the associated $ZD$production. We conclude finally that double parton scattering dominates theproduction of same-sign $W^\pm D^\pm$ states, as well as the production of$W^-$ bosons associated with $B$-mesons. The latter processes can thus beregarded as new useful DPS indicators.

Associated production of electroweak bosons and heavy mesons at LHCb and prospects to observe double parton interactions