Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Exploring differential two-particle correlations in γp and low-multiplicity pp collisions using pythia8

Subash Chandra Behera1,* and Dukhishyam Mallick2,†

  • *Contact author: subash.chandra.behera@cern.ch
  • †Contact author: dukhishyam.mallick@cern.ch

Phys. Rev. D 114, 076025 – Published 26 October, 2026

DOI: https://doi.org/10.1103/fq2g-2vz2

Abstract

A study of two-particle differential number (B) and transverse momentum (P2CD) balance functions in photon-proton (γp) and proton-proton (pp) collisions at 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<pT<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 nearside peak of the CD correlations is investigated in terms of Δη and Δϕ as a function of charged-particle multiplicity (Nch) 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-Nch regimes for upcoming measurements in small systems.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (38)

  1. J. W. Harris and B. Muller, QGP signatures revisited, Eur. Phys. J. C 84, 247 (2024).
  2. S. Acharya et al. (ALICE Collaboration), The ALICE experiment: A journey through QCD, Eur. Phys. J. C 84, 813 (2024).
  3. A. Hayrapetyan et al. (CMS Collaboration), Overview of high-density QCD studies with the CMS experiment at the LHC, Phys. Rep. 1115, 219 (2025).
  4. I. Arsene et al. (BRAHMS Collaboration), Quark gluon plasma and color glass condensate at RHIC? The Perspective from the BRAHMS experiment, Nucl. Phys. A757, 1 (2005).
  5. J. Adams et al. (STAR Collaboration), Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR Collaboration’s critical assessment of the evidence from RHIC collisions, Nucl. Phys. A757, 102 (2005).
  6. ALICE Collaboration, Future high-energy pp programme with ALICE, https://cds.cern.ch/record/2724925, Report No ALICE-PUBLIC-2020-005.
  7. B. B. Back et al. (PHOBOS Collaboration), The PHOBOS perspective on discoveries at RHIC, Nucl. Phys. A757, 28 (2005).
  8. P. Kovtun, D. T. Son, and A. O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94, 111601 (2005).
  9. H. Song, S. A. Bass, U. Heinz, T. Hirano, and C. Shen, 200 A GeV Au + Au collisions serve a nearly perfect quark-gluon liquid, Phys. Rev. Lett. 106, 192301 (2011).
  10. J. Adam et al. (ALICE Collaboration), Multiplicity and transverse momentum evolution of charge-dependent correlations in pp, p–Pb, and Pb–Pb collisions at the LHC, Eur. Phys. J. C 76, 86 (2016).
  11. S. Pratt, General charge balance functions, A tool for studying the chemical evolution of the quark-gluon plasma, Phys. Rev. C 85, 014904 (2012).
  12. S. A. Bass, P. Danielewicz, and S. Pratt, Clocking hadronization in relativistic heavy ion collisions with balance functions, Phys. Rev. Lett. 85, 2689 (2000).
  13. S. Pratt, Identifying the charge carriers of the quark-gluon plasma, Phys. Rev. Lett. 108, 212301 (2012).
  14. S. C. Behera and A. Khuntia, Jet-associated balance functions of charged and identified hadrons in pp collisions at s=13.6  TeV using pythia, Phys. Rev. D 113, 032008 (2026).
  15. S. Acharya et al. (ALICE Collaboration), Measurements of differential two-particle number and transverse momentum correlation functions in pp collisions at s=13  TeV, Eur. Phys. J. C 85, 866 (2025).
  16. S. Acharya et al. (ALICE Collaboration), Two particle differential transverse momentum and number density correlations in p–Pb and Pb-Pb at the LHC, Phys. Rev. C 100, 044903 (2019).
  17. J. Adam et al. (ALICE Collaboration), Multiplicity and transverse momentum evolution of charge-dependent correlations in pp, p–Pb, and Pb–Pb collisions at the LHC, Eur. Phys. J. C 76, 86 (2016).
  18. M. M. Aggarwal et al. (STAR Collaboration), Balance functions from Au+Au, d+Au, and p+p collisions at sNN=200  GeV, Phys. Rev. C 82, 024905 (2010).
  19. A. Tumasyan et al. (CMS Collaboration), Multiplicity and transverse momentum dependence of charge-balance functions in pPb and PbPb collisions at LHC energies, J. High Energy Phys. 08 (2024) 148.
  20. B. Abelev et al. (ALICE Collaboration), Charge correlations using the balance function in Pb-Pb collisions at sNN=2.76  TeV, Phys. Lett. B 723, 267 (2013).
  21. C. Pruneau, V. Gonzalez, B. Hanley, A. Marin, and S. Basu, Accounting for nonvanishing net-charge with unified balance functions, Phys. Rev. C 107, 014902 (2023).
  22. C. A. Pruneau, Role of baryon number conservation in measurements of fluctuations, Phys. Rev. C 100, 034905 (2019).
  23. S. Acharya et al. (ALICE Collaboration), General balance functions of identified charged hadron pairs of (π,K,p) in Pb–Pb collisions at sNN=2.76  TeV, Phys. Lett. B 833, 137338 (2022).
  24. V. Khachatryan et al. (CMS Collaboration), Observation of long-range near-side angular correlations in proton-proton collisions at the LHC, J. High Energy Phys. 09 (2010) 091.
  25. V. Khachatryan et al. (CMS Collaboration), Measurement of long-range near-side two-particle angular correlations in pp collisions at s=13  TeV, Phys. Rev. Lett. 116, 172302 (2016).
  26. Y. C. Chen et al. (Belle Collaboration), Measurement of two-particle correlations of hadrons in e+e− collisions at belle, Phys. Rev. Lett. 128, 142005 (2022).
  27. S. Chatrchyan et al. (CMS Collaboration), Long-range and short-range dihadron angular correlations in central PbPb collisions at sNN=2.76  TeV, J. High Energy Phys. 07 (2011) 076.
  28. S. Chatrchyan et al. (CMS Collaboration), Observation of long-range, near-side angular correlations in pPb collisions at the LHC, Phys. Lett. B 718, 795 (2013).
  29. S. Acharya et al. (ALICE Collaboration), Emergence of long-range angular correlations in low-multiplicity proton-proton collisions, Phys. Rev. Lett. 132, 172302 (2024).
  30. S. C. Behera and A. Khuntia, Two-particle number and transverse momentum balance function with event-topology in pp collisions at s=13  TeV, Phys. Rev. D 114, 036025 (2026).
  31. S. C. Behera and A. Khuntia, System size and event shape dependence of particle-identified balance functions in proton-proton collisions at s=13  TeV, Phys. Rev. C 113, 035201 (2026).
  32. B. Sahoo, B. K. Nandi, P. Pujahari, S. Basu, and C. Pruneau, Simulation studies of R2(Δη,Δϕ) and P2(Δη,Δϕ) correlation functions in pp collisions with the pythia and herwig models, Phys. Rev. C 100, 024909 (2019).
  33. C. Bierlich et al., A comprehensive guide to the physics and usage of pythia 8.3, SciPost Phys. Codebases 2022, 8 (2022).
  34. A. Tumasyan et al. (CMS Collaboration), CMS pythia 8 colour reconnection tunes based on underlying-event data, Eur. Phys. J. C 83, 587 (2023).
  35. A. Tumasyan et al. (CMS Collaboration), Two-particle azimuthal correlations in γp interactions using pPb collisions at sNN=8.16  TeV, Phys. Lett. B 844, 137905 (2023).
  36. G. Aad et al. (ATLAS Collaboration), Two-particle azimuthal correlations in photonuclear ultraperipheral Pb+Pb collisions at 5.02 TeV with ATLAS, Phys. Rev. C 104, 014903 (2021).
  37. C. Bierlich et al., A comprehensive guide to the physics and usage of pythia 8.3, SciPost Phys. Codebases 2022, 8 (2022).
  38. I. Helenius and M. Utheim, Hadron-ion collisions in pythia and the vector-meson dominance model for photoproduction, Eur. Phys. J. C 84, 1155 (2024).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation