Energy dependence of underlying-event observables from RHIC to LHC energies

A study of the charged-particle density (number density) in transverse region dihadron correlations exploiting existing pp and $\mathrm{p}\overline{\mathrm{p}}$ data from RHIC to LHC energies is reported. This has contributions underlying event (UE) as well initial- final-state radiation (ISR-FSR). Based on data, a two-component model built. functional form $\ensuremath{\propto}{s}^{\ensuremath{\alpha}}+\ensuremath{\beta}\mathrm{log}(s)$, where logarithmic ($\ensuremath{\beta}=0.140\ifmmode\pm\else\textpm\fi{}0.007$) power-law ($\ensuremath{\alpha}=0.270\ifmmode\pm\else\textpm\fi{}0.005$) terms describe components more sensitive ISR-FSR UE contributions, respectively. The describes energies; extrapolation higher indicates that at around $\sqrt{s}\ensuremath{\approx}100\text{ }\text{ }\mathrm{TeV}$ number associated will match ISR-FSR. Although this behavior not predicted by pythia 8.244, contribution consistent with energy dependence parameter regulates multiparton interactions. Using simulations, KNO-like scaling properties multiplicity distributions regions either or are also discussed. results presented here can be helpful constrain QCD-inspired Monte Carlo models future circular collider energies, characterize UE-based classifiers which currently used LHC.