Inclusive and multiplicity-dependent pseudorapidity densities of charged particles in pp collisions at $\mathbf{\sqrt{s} = 13.6}$ TeV

The distribution of the pseudorapidity density of primary charged particles (${\rm d}N_{\rm ch}/ {\rm d}η$) in $|η|<~1.5$ is measured in pp collisions at a center-of-mass energy of 13.6 TeV using the ALICE detector. Tracks are reconstructed with the upgraded Inner Tracking System and Time Projection Chamber, and results are reported for the INEL$>$0 event class (events having at least one charged particle in $|η|<~1$). The multiplicity dependence of the pseudorapidity density of charged particles is also explored with the multiplicity determined by the forward detectors. The average charged-particle pseudorapidity density at midrapidity ($|η|<~0.5$) is measured to be $\langle \mathrm{d}N_{\mathrm{ch}}/\mathrm{d}η\rangle = 7.10 \pm 0.18$. Combined with lower-energy measurements, the INEL$>$0 results follow a power-law scaling with the center-of-mass energy. These measurements provide a new reference for charged-particle production at the highest proton$-$proton collision energy available at the LHC.

 

Submitted to: PRD
e-Print: arXiv:2602.10658 | PDF | inSPIRE
CERN-EP-2026-012
Figure group

Figure 1

The pseudorapidity distribution of primary charged particles for INEL>0 events in pp collisions at $\sqrt{s} = 13.6$ TeV. Data are compared to model predictions from PYTHIA 8 Monash 2013 and EPOS4 with their variations. The systematic uncertainties in the data are represented by gray bands. The lower panel shows the ratio of model predictions to the data.

Figure 2

The values of $\langle \mathrm{d}N_\mathrm{ch} / \mathrm{d}\eta \rangle$ in $|\eta|< 0.5$ for the INEL, NSD, and INEL>0 event classes as a function of center-of-mass energy. The lines depict a power-law fit for each event class. The gray bands show one standard deviation of the fit where the errors are quite small. The $\langle \mathrm{d}N_\mathrm{ch} / \mathrm{d}\eta \rangle$ value for INEL>0 events in pp collisions at $\sqrt{s}=13.6$ TeV is included (the red star symbol). Note that the newly added data point is not included in the fit.

Figure 3

Charged-particle pseudorapidity density as a function of $\eta$ for the 0--1 to 70--100\% multiplicity classes measured with the forward multiplicity estimator, illustrating the dependence of particle production on forward event activity. Higher event activity classes exhibit an overall increase in charged-particle multiplicity, while the shape of the distributions remains consistent across different multiplicity classes.

Figure 4

$\mathrm{d}N_\mathrm{ch} / \mathrm{d}\eta $ distributions for different multiplicity classes in pp collisions at $\sqrt{s}=13.6$ TeV. The top, third and fifth rows present $\mathrm{d}N_\mathrm{ch} / \mathrm{d}\eta $ distributions from the 0-1% to the 70-100% multiplicity classes, and the other rows display the model-to-data ratios of the rows above. The distributions are compared with theoretical predictions from PYTHIA 8 and EPOS4 with their variations. Note that the multiplicity classes in the models correspond to INEL>0, and multiplicity classes in the data correspond to MB>0 classification as listed in Tab.2.