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  • Open Access
  • Access by Xinjiang University

Two-particle number and transverse momentum balance function with event topology in pp collisions at s=13TeV

Subash Chandra Behera1,* and Arvind Khuntia2,†

  • *Contact author: subash.chandra.behera@cern.ch
  • Contact author: arvind.khuntia@cern.ch

Phys. Rev. D 114, 036025 – Published 24 August, 2026

DOI: https://doi.org/10.1103/xfgy-dmmb

Abstract

The first study of charge-dependent two-particle differential number (B) and momentum balance functions (P2CD) with respect to an event shape variable, transverse spherocity, is reported. Results are presented from pythia8 and epos-lhc model calculations in proton-proton collisions at s=13TeV. To distinguish between back-to-back jetlike topologies and isotropic events, low and high transverse spherocity values are chosen. The correlation functions are measured as a function of charged-particle multiplicity classes in relative pseudorapidity (Δη) and relative azimuthal angle (Δϕ) with |η|<2.4 and 0.2<pT<2.0GeV. A narrowing of the balance function width is observed in Δη and Δϕ from low- to high-multiplicity collisions. Wider balance functions are found in isotropic events as compared to jet-like events. However, for the momentum correlations, a nearly flat dependence is observed with charged particle multiplicity. This study investigates charge conservation mechanisms and their correlations for events classified with jetlike and isotropic topologies. To isolate medium-driven effects, we compare epos-lhc with its hydrodynamic core enabled and disabled and observed narrowing patterns in B and P2CD as a quantitative handle on radial-flow–induced localization of charge-balancing pairs.

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References (51)

  1. A. Hayrapetyan et al. (CMS Collaboration), Overview of high-density QCD studies with the CMS experiment at the LHC, Phys. Rep. 1115, 219 (2025).
  2. S. Acharya et al. (ALICE Collaboration), The ALICE experiment: A journey through QCD, Eur. Phys. J. C 84, 813 (2024).
  3. K. Adcox et al. (PHENIX Collaboration), Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration, Nucl. Phys. A757, 184 (2005).
  4. 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).
  5. B. B. Back et al. (PHOBOS Collaboration), The PHOBOS perspective on discoveries at RHIC, Nucl. Phys. A757, 28 (2005).
  6. 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).
  7. S. Acharya et al. (ALICE Collaboration), General balance functions of identified charged hadron pairs of (π,K,p) in Pb–Pb collisions at sNN=2.76TeV, Phys. Lett. B 833, 137338 (2022).
  8. 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.
  9. S. Chatrchyan et al. (CMS Collaboration), Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV, Phys. Rev. C 84, 024906 (2011).
  10. HADES Collaboration, S. Harabasz, Multi-differential pattern of low-mass e+e excess from sNN=2.4GeV Au+Au collisions with HADES, Nucl. Phys. A982, 771 (2019).
  11. L. Adamczyk et al. (STAR Collaboration), Measurements of jet quenching with semi-inclusive hadron+jet distributions in Au+Au collisions at sNN=200GeV, Phys. Rev. C 96, 024905 (2017).
  12. E. V. Shuryak, On the origin of the “Ridge” phenomenon induced by jets in heavy ion collisions, Phys. Rev. C 76, 047901 (2007).
  13. S. Acharya et al. (ALICE Collaboration), Emergence of long-range angular correlations in low-multiplicity proton-proton collisions, Phys. Rev. Lett. 132, 172302 (2024).
  14. J. Adam et al. (ALICE Collaboration), Enhanced production of multi-strange hadrons in high-multiplicity proton-proton collisions, Nat. Phys. 13, 535 (2017).
  15. A. Baty, P. Gardner, and W. Li, Novel observables for exploring QCD collective evolution and quantum entanglement within individual jets, Phys. Rev. C 107, 064908 (2023).
  16. V. Khachatryan et al. (CMS Collaboration), Measurement of long-range near-side two-particle angular correlations in pp collisions at s=13TeV, Phys. Rev. Lett. 116, 172302 (2016).
  17. A. Hayrapetyan et al. (CMS Collaboration), Observation of enhanced long-range elliptic anisotropies inside high-multiplicity jets in pp collisions at s=13TeV, Phys. Rev. Lett. 133, 142301 (2024).
  18. A. Manea, C. Pruneau, D. C. Brandibur, A. Danu, A. F. Dobrin, V. Gonzalez, and S. Basu, Investigating late-stage particle production in pp collisions with balance functions, Eur. Phys. J. C 85, 323 (2025).
  19. S. Pratt, General charge balance functions, a tool for studying the chemical evolution of the quark-gluon plasma, Phys. Rev. C 85, 014904 (2012).
  20. W.-H. Zhou, H. Liu, F. Li, Y.-F. Sun, J. Xu, and C. M. Ko, Elliptic flow splittings in the Polyakov–Nambu–Jona-Lasinio transport model, Phys. Rev. C 104, 044901 (2021).
  21. 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).
  22. S. Acharya et al. (ALICE Collaboration), Measurements of differential two-particle number and transverse momentum correlation functions in pp collisions at s=13TeV, Eur. Phys. J. C 85, 866 (2025).
  23. T. Parida, P. Bozek, and S. Chatterjee, Charm balance function in relativistic heavy-ion collisions, Phys. Rev. C 109, 014903 (2024).
  24. B. I. Abelev et al. (STAR Collaboration), Longitudinal scaling property of the charge balance function in Au+Au collisions at 200 GeV, Phys. Lett. B 690, 239 (2010).
  25. M. R. Atayan et al. (EHS Collaboration and NA22 Collaboration), Boost invariance and multiplicity dependence of the charge balance functionin π+p and K+p collisions at s=22-GeV/c, Phys. Lett. B 637, 39 (2006).
  26. S. A. Voloshin, Heavy ion collisions: Correlations and Fluctuations in particle production, J. Phys. Conf. Ser. 50, 111 (2006).
  27. A. Bialas and J. Rafelski, Balance of baryon number in the quark coalescence model, Phys. Lett. B 633, 488 (2006).
  28. A. Bialas, Balance functions in coalescence model, Phys. Lett. B 579, 31 (2004).
  29. A. Banfi, G. P. Salam, and G. Zanderighi, Phenomenology of event shapes at hadron colliders, J. High Energy Phys. 06 (2010) 038.
  30. A. Khuntia, S. Tripathy, A. Bisht, and R. Sahoo, Event shape engineering and multiplicity dependent study of identified particle production in proton+proton collisions at s=13TeV using pythia8, J. Phys. G 48, 035102 (2021).
  31. S. Acharya et al. (ALICE Collaboration), Charged-particle production as a function of multiplicity and transverse spherocity in pp collisions at s=5.02 and 13 TeV, Eur. Phys. J. C 79, 857 (2019).
  32. S. Acharya et al. (ALICE Collaboration), Light-flavor particle production in high-multiplicity pp collisions at s=13TeV as a function of transverse spherocity, J. High Energy Phys. 05 (2024) 184.
  33. C. Bierlich et al., A comprehensive guide to the physics and usage of pythia8.3, SciPost Phys. Codebases 2022, 8 (2022).
  34. T. Pierog, I. Karpenko, J. M. Katzy, E. Yatsenko, and K. Werner, epos lhc: Test of collective hadronization with data measured at the CERN Large Hadron Collider, Phys. Rev. C 92, 034906 (2015).
  35. K. Werner, Core-corona procedure and microcanonical hadronization to understand strangeness enhancement in proton-proton and heavy ion collisions in the epos4 framework, Phys. Rev. C 109, 014910 (2024).
  36. C. A. Pruneau, Role of baryon number conservation in measurements of fluctuations, Phys. Rev. C 100, 034905 (2019).
  37. A. Tumasyan et al. (CMS Collaboration), Correlations between azimuthal anisotropy and mean transverse momentum in pp, pPb, and peripheral PbPb collisions, arXiv:2410.04578.
  38. STAR Collaboration, M. M. Aggarwal et al., Balance functions from Au+Au, d+Au, and p+p collisions at sNN=200GeV, Phys. Rev. C 82, 024905 (2010).
  39. 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.
  40. S. Chatrchyan et al. (CMS Collaboration), Long-range and short-range dihadron angular correlations in central PbPb collisions at a nucleon-nucleon center of mass energy of sNN=2.76TeV, J. High Energy Phys. 07 (2011) 076.
  41. A. Tumasyan et al. (CMS Collaboration), Two-particle azimuthal correlations in γp interactions using pPb collisions at sNN=8.16TeV, Phys. Lett. B 844, 137905 (2023).
  42. CMS Collaboration, A. M. Sirunyan et al., Elliptic flow of charm and strange hadrons in high-multiplicity pPb collisions at sNN=8.16TeV, Phys. Rev. Lett. 121, 082301 (2018).
  43. 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).
  44. S. Basu, V. Gonzalez, J. Pan, A. Knospe, A. Marin, C. Markert, and C. Pruneau, Differential two-particle number and momentum correlations with the AMPT, UrQMD, and epos models in Pb-Pb collisions at sNN=2.76TeV, Phys. Rev. C 104, 064902 (2021).
  45. S. Pratt and J. Vredevoogd, Femtoscopy in relativistic heavy ion collisions and its relation to bulk properties of QCD matter, Phys. Rev. C 78, 054906 (2008).
  46. R. H. Brown and R. Q. Twiss, Correlation between photons in two coherent beams of light, Nature (London) 177, 27 (1956).
  47. S. Acharya et al. (ALICE Collaboration), Production of pions, kaons, and protons as a function of the relative transverse activity classifier in pp collisions at s=13TeV, J. High Energy Phys. 06 (2023) 027.
  48. A. Tumasyan et al. (CMS Collaboration), CMS pythia 8 colour reconnection tunes based on underlying-event data, Eur. Phys. J. C 83, 587 (2023).
  49. A. Ortiz Velasquez, P. Christiansen, E. Cuautle Flores, I. Maldonado Cervantes, and G. Paić, Color Reconnection and Flowlike Patterns in pp Collisions, Phys. Rev. Lett. 111, 042001 (2013).
  50. A. Ortiz, A. Paz, J. D. Romo, S. Tripathy, E. A. Zepeda, and I. Bautista, Multiparton interactions in pp collisions from machine learning-based regression, Phys. Rev. D 102, 076014 (2020).
  51. L. Lönnblad and H. Shah, Baryon correlations in pythia, Eur. Phys. J. C 83, 1105 (2023).

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