Abstract

In this work, we study the underlying-event (UE) activity as a function of the highest jet or charged-particle transverse momentum (${p}_{\mathrm{T}}^{\text{jet}}$ or ${p}_{\mathrm{T}}^{\text{leading}}$) in terms of number and summed-${p}_{\mathrm{T}}$ densities of charged particles in the azimuthal region transverse to the leading jet or particle direction. Contrary to inelastic $pp$ LHC data, the UE observables normalized to the charged-particle density obey an approximate Koba-Nielsen-Olesen (KNO) scaling. Based on PYTHIA 8.2 simulations of $pp$ collisions at LHC energies, we show that the small breaking of the KNO scaling is due to the increasing importance of multiple partonic interactions (MPI) at higher $\sqrt{s}$. This in turn makes that with increasing energy, the ${p}_{\mathrm{T}}$ spectra in the UE get harder than in inelastic $pp$ collisions. Color reconnection (CR) models the interactions among outgoing partons just before the hadronization; therefore, it modifies the ${p}_{\mathrm{T}}$-spectral shape. Motivated by this, we studied the UE activity considering charged particles within different ${p}_{\mathrm{T}}$ intervals in $pp$ collisions at $\sqrt{s}=7\text{ }\text{ }\mathrm{TeV}$. Although MPI saturate for ${p}_{\mathrm{T}}^{\text{jet}}>10\text{ }\text{ }\mathrm{GeV}/c$, the UE still increases with increasing ${p}_{\mathrm{T}}^{\text{jet}}$. We demonstrate that the saturation of both number and summed-${p}_{\mathrm{T}}$ densities, which are commonly claimed, are only observed for low-${p}_{\mathrm{T}}$ charged particles ($0.5<{p}_{\mathrm{T}}<2\text{ }\text{ }\mathrm{GeV}/c$). Moreover, for the ${p}_{\mathrm{T}}$-integrated case (${p}_{\mathrm{T}}>0.5\text{ }\text{ }\mathrm{GeV}/c$), the summed-${p}_{\mathrm{T}}$ density is not sensitive to the variation of CR; however, at low-${p}_{\mathrm{T}}$, it is reduced with increasing CR, whereas an opposite behavior is found at intermediate ${p}_{\mathrm{T}}$ ($2<{p}_{\mathrm{T}}<10\text{ }\text{ }\mathrm{GeV}/c$). Finally, we show that CR produces flowlike behavior only in the UE region, and the effects are reduced with increasing ${p}_{\mathrm{T}}^{\text{jet}}$ due to the hardening of UE. The outcomes encourage the measurement of inclusive and identified charged-particle ${p}_{\mathrm{T}}$ spectra (over a wide range of ${p}_{\mathrm{T}}$) associated to UE aimed at better understanding the similarities between $pp$ and heavy-ion data discovered at the LHC.

Highlights

  • In the context of event generators, one single inelastic proton-proton collision can be split into two components: the main hard partonic scattering and the underlying event (UE)

  • The latter includes initial- and finalstate radiation (ISR/FSR), multiple partonic interactions (MPI), and the fragmentation of beam remnants resulting from the hadronization of the partonic constituents that did not participate in any scatter

  • In a previous publication [26], we have shown that within 10%pthffiffie UE observables as a function of plTeading collapse on s-independent curves once they are scaled to the corresponding average charged-particle density

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Summary

INTRODUCTION

In the context of event generators, one single inelastic (nondiffractive) proton-proton (pp) collision can be split into two components: the main hard partonic scattering and the underlying event (UE). Reconnection (CR) is a microscopic mechanism that describes the interactions that can occur between color fields during the hadronization transition It is a key ingredient which is needed to explain the increase of the average transverse momentum as a function of charged-particle multiplicity [1] and the multiplicity-dependent event shape studies [2]. The advantage is that cutting on the highest charged-particle transverse momentum (plTeading) or highest jet pT (pjTet) it is possible to select events with larger (and nearly constant) MPI activity than that associated to inelastic events. This allows us to enhance color-reconnection effects on the hadronization.

SIMULATIONS AND ANALYSIS
ENERGY DEPENDENCE OF THE UNDERLYING EVENT
Modification of the particle production at low and intermediate pT
Flowlike effects within a hard UE environment
CONCLUSIONS
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