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Prompt D meson and non-prompt J/$\psi$ yields are studied as a function ofthe multiplicity of charged particles produced in inelastic proton-protoncollisions at a centre-of-mass energy of $\sqrt{s}=7$ TeV. The results arereported as a ratio between yields in a given multiplicity interval normalisedto the multiplicity-integrated ones (relative yields). They are shown as afunction of the multiplicity of charged particles normalised to the averagevalue for inelastic collisions (relative charged-particle multiplicity). D$^0$,D$^+$ and D$^{*+}$ mesons are measured in five $p_{\rm T}$ intervals from 1 to20 GeV/$c$ and for $|y|<0.5$ via their hadronic decays. The D-meson relativeyield is found to increase with increasing charged-particle multiplicity. Forevents with multiplicity six times higher than the average multiplicity ofinelastic collisions, a yield enhancement of a factor about 15 relative to themultiplicity-integrated yield in inelastic collisions is observed. The yieldenhancement is independent of transverse momentum within the uncertainties ofthe measurement. The D$^0$-meson relative yield is also measured as a functionof the relative multiplicity at forward pseudorapidity. The non-promptJ/$\psi$, i.e. the B hadron, contribution to the inclusive J/$\psi$ productionis measured in the di-electron decay channel at central rapidity. It isevaluated for $p_{\rm T}>1.3$ GeV/$c$ and $|y|<0.9$, and extrapolated to$p_{\rm T}>0$. The fraction of non-prompt J/$\psi$ in the inclusive J/$\psi$yields shows no dependence on the charged-particle multiplicity at centralrapidity. Charm and beauty hadron relative yields exhibit a similar increasewith increasing charged-particle multiplicity. The measurements are compared toPYTHIA 8, EPOS 3 and percolation calculations.

the journal of high energy physics/the journal of high energy physics

Measurement of charm and beauty production at central rapidity versus  charged-particle multiplicity in proton-proton collisions at  $\mathbf{\sqrt{{\textit s}}}=7$ TeV