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Exploring differential two-particle correlations in $γp$ and low-multiplicity pp collisions using PYTHIA8

Subash Chandra Behera, Dukhishyam Mallick

Abstract

A study of two-particle differential number ($B$) and transverse momentum ($P_{2}^\mathrm{CD}$) balance functions in photon-proton ($γp$) and proton-proton (pp) collisions at $\sqrt{s}=$ 5.36 TeV is presented. The analysis focuses on inclusive charged hadrons within the pseudorapidity coverage $|η|<2.4$ and the transverse momentum interval $0.3 < p_\mathrm{T} < 3.0$ GeV and examines their correlations in terms of relative pseudorapidity ($Δη$) and relative azimuthal angle ($Δφ$). The correlation functions are evaluated for same- and opposite-sign pairs, and their combinations are used to extract charge-dependent (CD) and charge-independent (CI) components. The evolution of the near-side peak of the CD correlations is investigated in terms of $Δη$ and $Δφ$ as a function of charged-particle multiplicity ($N_\mathrm{ch}$) for $γp$ collisions and compared to pp collisions at a similar multiplicity range. A clear multiplicity dependence of the balance function width is obtained. The width is found systematically lower in $γp$ events than in pp collisions. This study provides valuable information on particle correlations and production mechanisms in low-$N_\mathrm{ch}$ regimes for upcoming measurements in small systems.

Exploring differential two-particle correlations in $γp$ and low-multiplicity pp collisions using PYTHIA8

Abstract

A study of two-particle differential number () and transverse momentum () balance functions in photon-proton () and proton-proton (pp) collisions at 5.36 TeV is presented. The analysis focuses on inclusive charged hadrons within the pseudorapidity coverage and the transverse momentum interval GeV and examines their correlations in terms of relative pseudorapidity () and relative azimuthal angle (). The correlation functions are evaluated for same- and opposite-sign pairs, and their combinations are used to extract charge-dependent (CD) and charge-independent (CI) components. The evolution of the near-side peak of the CD correlations is investigated in terms of and as a function of charged-particle multiplicity () for collisions and compared to pp collisions at a similar multiplicity range. A clear multiplicity dependence of the balance function width is obtained. The width is found systematically lower in events than in pp collisions. This study provides valuable information on particle correlations and production mechanisms in low- regimes for upcoming measurements in small systems.
Paper Structure (9 sections, 13 equations, 9 figures)

This paper contains 9 sections, 13 equations, 9 figures.

Figures (9)

  • Figure 1: Comparison of multiplicity ($N_\text{ch}$) and pseudorapidity ($\eta$) distributions of charged hadrons in MB pp, mb-like tune $\gamma\text{p}$ and $\gamma\text{p}$ collisions at $\sqrt{s}$ = 5.36 TeV.
  • Figure 2: Comparison of average transverse momentum ($\langle p_{\mathrm{T}} \rangle$) as function of $N_\text{ch}$ for charged hadrons in MB pp, mb-like tune $\gamma\text{p}$ and $\gamma p$ collision at $\sqrt{s}$ = 5.36 TeV. Results are calculated for $|\eta|< 2.4$ and $0.3 < p_{\mathrm{T}} < 3.0$ GeV.
  • Figure 3: Two-dimensional number balance functions ($B$) for $0 < N_{\mathrm{ch}} < 5$ (upper panel) and $40 < N_{\mathrm{ch}} < 50$ (lower panel) of charged-hadrons in mb-like tune pp (left), mb-like tune $\gamma\text{p}$ (middle), and $\gamma\text{p}$ (right) collisions at $\sqrt{s}=5.36$ TeV from pythia8. The results are obtained in the kinematic region $|\eta| < 2.4$ and $0.3 < p_{\mathrm{T}} < 3.0$ GeV.
  • Figure 4: Two-dimensional momentum balance functions ($P_{2}^\mathrm{CD}$) for $0 < N_{\mathrm{ch}} < 5$ (upper panel) and $40 < N_{\mathrm{ch}} < 50$ (lower panel) of charged-hadrons in mb-like tune pp (left), mb-like tune $\gamma\text{p}$ (middle), and $\gamma\text{p}$ (right) collisions at $\sqrt{s}=5.36$ TeV from pythia8. The results are obtained in the kinematic region $|\eta| < 2.4$ and $0.3 < p_{\mathrm{T}} < 3.0$ GeV.
  • Figure 5: One-dimensional near-side projection of the number balance functions ($B$) for $0 < N_{\mathrm{ch}} < 5$ (upper panel) and $40 < N_{\mathrm{ch}} < 50$ (lower panel) in mb-like tune pp (left), mb-like tune $\gamma\text{p}$ (middle), and $\gamma\text{p}$ (right) collisions at $\sqrt{s}=5.36$ TeV from pythia8. The results are obtained in the kinematic region $|\eta| < 2.4$ and $0.3 < p_{\mathrm{T}} < 3.0$ GeV for charged-hadrons.
  • ...and 4 more figures