A study of the associated production of a mathrm{Z} boson and a charm quark jet (mathrm{Z} + mathrm{c} ), and a comparison to production with a mathrm{b} quark jet (mathrm{Z} + mathrm{b} ), in mathrm {p}mathrm {p} collisions at a centre-of-mass energy of 8,text {TeV} are presented. The analysis uses a data sample corresponding to an integrated luminosity of 19.7,text {fb}^{-1}, collected with the CMS detector at the CERN LHC. The mathrm{Z} boson candidates are identified through their decays into pairs of electrons or muons. Jets originating from heavy flavour quarks are identified using semileptonic decays of mathrm{c} or mathrm{b} flavoured hadrons and hadronic decays of charm hadrons. The measurements are performed in the kinematic region with two leptons with p_{mathrm {T}} ^{ell } > 20,text {GeV} , {|eta ^{ell }|} < 2.1, 71< m_{ell ell } < 111,text {GeV} , and heavy flavour jets with p_{mathrm {T}} ^{text {jet}} > 25,text {GeV} and {|eta ^{ text {jet}}|} < 2.5. The mathrm{Z} + mathrm{c} production cross section is measured to be sigma (mathrm {p}mathrm {p}rightarrow mathrm{Z} + mathrm{c} + X) mathcal {B}(mathrm{Z} rightarrow ell ^+ell ^-) = 8.8 pm 0.5,text {(stat)} pm 0.6,text {(syst)} ,text {pb} . The ratio of the mathrm{Z} + mathrm{c} and mathrm{Z} + mathrm{b} production cross sections is measured to be sigma (mathrm {p}mathrm {p}rightarrow mathrm{Z} + mathrm{c} + X)/sigma (mathrm {p}mathrm {p}rightarrow mathrm{Z} + mathrm{b} + X) = 2.0 pm 0.2,text {(stat)} pm 0.2,text {(syst)} . The mathrm{Z} + mathrm{c} production cross section and the cross section ratio are also measured as a function of the transverse momentum of the mathrm{Z} boson and of the heavy flavour jet. The measurements are compared with theoretical predictions.
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