Correlations between multiparticle cumulants and mean transverse momentum in small collision systems with the CMS detector

Correlations between multiparticle cumulants and mean transverse momentum in proton-proton (pp), proton-lead (pPb) and peripheral lead-lead (PbPb) collisions are presented as a function of charged-particle multiplicity. The data, corresponding to integrated luminosities of $28.6~\mathrm{pb}^{-1}$ for pp at $\sqrt{s}=13~\mathrm{TeV}$, $186~\mathrm{nb}^{-1}$ for pPb at $\sqrt{s_{_{\mathrm{NN}}}}=8.16~\mathrm{TeV}$, and $0.58~\mathrm{nb}^{-1}$ for PbPb at $\sqrt{s_{_{\mathrm{NN}}}}=5.02~\mathrm{TeV}$, were collected using the CMS detector at the LHC. Modified Pearson correlation coefficients of charged particles are measured to characterize these events. The two- and four-particle cumulants for the second- and third-order Fourier harmonics are correlated with mean transverse momentum on an event-by-event basis. Sign changes are observed as a function of multiplicity when using two-particle cumulants in pp and pPb systems. The sign changes disappear as pseudorapidity gaps between the two subevents increase. Predictions based on color-glass condensate and hydrodynamic models are compared to the experimental results.