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Measurements of the charge-dependent two-particle angular correlationfunction in proton-lead (pPb) collisions at a nucleon-nucleon center-of-massenergy of $\sqrt{s_\mathrm{NN}}$ = 8.16 TeV and lead-lead (PbPb) collisionsat$\sqrt{s_\mathrm{NN}}$ = 5.02 TeV are reported. The pPb and PbPb datasetscorrespond to integrated luminosities of 186\nbinv and 0.607 nb$^{-1}$,respectively, and were collected using the CMS detector at the CERN LHC. Thecharge-dependent correlations are characterized by balance functions of same-and opposite-sign particle pairs. The balance functions, which containinformation about the creation time of charged particle pairs and thedevelopment of collectivity, are studied as functions of relativepseudorapidity ($\Delta \eta$) and relative azimuthal angle ($\Delta \phi$),for various multiplicity and transverse momentum ($p_\mathrm{T}$) intervals. Amultiplicity dependence of the balance function is observed in $\Delta \eta$and $\Delta \phi$ for both systems. The width of the balance functionsdecreases towards high-multiplicity collisions in the momentum region $\lt$2GeV, for pPb and PbPb results. No multiplicity dependence is observed at highertransverse momentum. The data are compared with HYDJET, HIJING and AMPTgenerator predictions, none of which capture completely the multiplicitydependence seen in the data.

Multiplicity and transverse momentum dependence of charge-balance functions in pPb and PbPb collisions at LHC energies