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

Bremsstrahlung photon contributions to parton energy loss at high virtuality Q2: A perturbative calculation at O(αsαem)

Amit Kumar* and Gojko Vujanovic†

  • *Contact author: amit.kumar@uregina.ca
  • †Contact author: gojko.vujanovic@uregina.ca

Phys. Rev. C 112, 025204 – Published 29 August, 2025

DOI: https://doi.org/10.1103/bmmf-9zv5

Abstract

In this work, real photon production scattering kernels from jet-medium interactions in the QCD medium are perturbatively calculated using the higher-twist (HT) formalism. Focus is given towards real photon production from a highly virtual (and highly energetic) quark, taking into account heavy-quark mass scales [Phys. Rev. C 94, 054902 (2016)], fermion-boson conversion processes [Nucl. Phys. A 793, 128 (2007)], as well as coherence effects [Phys. Rev. C 105, 024908 (2022)]. A generalized factorization procedure, such as that used in e−A deep-inelastic scattering, is employed to derive an improved single-scattering medium-induced photon emission kernels that go beyond the traditional in-medium gluon exchange approximation. Diagrams with real-photon emission from the hard quark are classified based on the final-state particles, and include two types of scattering kernels at O(αemαs) giving the following final states: (i) real photon and real quark, (ii) real photon and real gluon. The collisional kernels, thus derived, include full phase factors from all nonvanishing diagrams and complete second-order derivative terms in the transverse momentum gradient expansion. Moreover, the calculation includes heavy-quark mass effects, thus exploring heavy-quark energy loss. The in-medium parton distribution functions and the related jet transport coefficients have a hard transverse momentum dependence (of the emitted gluon or photon) present within the phase factor. It is observed that the jet transport coefficients resemble the transverse-momentum-dependent parton distribution functions.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (51)

  1. K. Adcox et al. (PHENIX Collaboration), Suppression of hadrons with large transverse momentum in central Au+Au collisions at sNN = 130 GeV, Phys. Rev. Lett. 88, 022301 (2001).
  2. S. S. Adler et al. (PHENIX Collaboration), High pT charged hadron suppression in Au + Au collisions at sNN=200 GeV Phys. Rev. C 69, 034910 (2004).
  3. S. S. Adler et al. (PHENIX Collaboration), Suppressed π0 production at large transverse momentum in central Au + Au collisions at sNN = 200 GeV, Phys. Rev. Lett. 91, 072301 (2003).
  4. C. Adler et al. (STAR Collaboration), Centrality dependence of high pT hadron suppression in Au+Au collisions at sNN = 130 GeV, Phys. Rev. Lett. 89, 202301 (2002).
  5. J. Adams et al. (STAR Collaboration), Transverse momentum and collision energy dependence of high -pT hadron suppression in Au+Au collisions at ultrarelativistic energies, Phys. Rev. Lett. 91, 172302 (2003).
  6. M. Aaboud et al. (ATLAS Collaboration), Measurement of the nuclear modification factor for inclusive jets in Pb+Pb collisions at sNN=5.02 TeV with the ATLAS detector, Phys. Lett. B 790, 108 (2019).
  7. S. Acharya et al. (ALICE Collaboration), Measurements of inclusive jet spectra in pp and central Pb-Pb collisions at sNN = 5.02 TeV, Phys. Rev. C 101, 034911 (2020).
  8. V. Khachatryan et al. (CMS Collaboration), Measurement of inclusive jet cross sections in pp and PbpP collisions at sNN= 2.76 TeV, Phys. Rev. C 96, 015202 (2017).
  9. A. M. Sirunyan et al. (CMS Collaboration), First measurement of large area jet transverse momentum spectra in heavy-ion collisions, J. High Energy Phys. 05 (2021) 284.
  10. M. Aaboud et al. (ATLAS Collaboration), Measurement of photon–jet transverse momentum correlations in 5.02 TeV Pb + Pb and pp collisions with ATLAS, Phys. Lett. B 789, 167 (2019).
  11. G. Aad et al. (ATLAS Collaboration), Comparison of inclusive and photon-tagged jet suppression in 5.02 TeV Pb+Pb collisions with ATLAS, Phys. Lett. B 846, 138154 (2023).
  12. A. M. Sirunyan et al. (CMS Collaboration), Study of jet quenching with isolated-photon+jet correlations in PbPb and pp collisions at sNN= 5.02 TeV, Phys. Lett. B 785, 14 (2018).
  13. L. Adamczyk et al. (STAR Collaboration), Jet-like correlations with direct-photon and neutral-pion triggers at sNN=200 GeV, Phys. Lett. B 760, 689 (2016).
  14. U. Acharya et al. (PHENIX Collaboration), Measurement of jet-medium interactions via direct photon-hadron correlations in Au+Au and d+Au collisions at sNN=200 GeV, Phys. Rev. C 102, 054910 (2020).
  15. A. M. Sirunyan et al. (CMS Collaboration), Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/c in PbPb collisions at sNN = 5.02 TeV, Phys. Lett. B 776, 195 (2018).
  16. S. Chatrchyan et al. (CMS Collaboration), Azimuthal anisotropy of charged particles at high transverse momenta in PbPb collisions at sNN=2.76 TeV, Phys. Rev. Lett. 109, 022301 (2012).
  17. M. Aaboud et al. (ATLAS Collaboration), Measurement of the azimuthal anisotropy of charged particles produced in sNN = 5.02 TeV Pb+Pb collisions with the ATLAS detector, Eur. Phys. J. C 78, 997 (2018).
  18. J. H. Putschke et al., The JETSCAPE framework, arXiv:1903.07706.
  19. A. Kumar et al. (JETSCAPE Collaboration), JETSCAPE framework: p+p results, Phys. Rev. C 102, 054906 (2020).
  20. A. Kumar et al. (JETSCAPE Collaboration), Inclusive jet and hadron suppression in a multistage approach, Phys. Rev. C 107, 034911 (2023).
  21. C. Park (JETSCAPE Collaboration), Multi-stage jet evolution through QGP using the JETSCAPE framework: Inclusive jets, correlations and leading hadrons, PoS HardProbes2018, 072 (2019).
  22. E. Braaten and R. D. Pisarski, Simple effective Lagrangian for hard thermal loops, Phys. Rev. D 45, R1827 (1992).
  23. P. B. Arnold, G. D. Moore, and L. G. Yaffe, Effective kinetic theory for high temperature gauge theories, J. High Energy Phys. 01 (2003) 030.
  24. P. B. Arnold, G. D. Moore, and L. G. Yaffe, Photon emission from quark gluon plasma: Complete leading order results, J. High Energy Phys. 12 (2001) 009.
  25. J. Ghiglieri, J. Hong, A. Kurkela, E. Lu, G. D. Moore, and D. Teaney, Next-to-leading order thermal photon production in a weakly coupled quark-gluon plasma, J. High Energy Phys. 05 (2013) 010.
  26. S. Caron-Huot, O(g) plasma effects in jet quenching, Phys. Rev. D 79, 065039 (2009).
  27. G. Jackson and M. Laine, Testing thermal photon and dilepton rates, J. High Energy Phys. 11 (2019) 144.
  28. S. Ali, D. Bala, A. Francis, G. Jackson, O. Kaczmarek, J. Turnwald, T. Ueding, and N. Wink (HotQCD Collaboration), Lattice QCD estimates of thermal photon production from the QGP, Phys. Rev. D 110, 054518 (2024).
  29. B. Schenke, C. Gale, and S. Jeon, MARTINI: An event generator for relativistic heavy-ion collisions, Phys. Rev. C 80, 054913 (2009).
  30. R. M. Yazdi, S. Shi, C. Gale, and S. Jeon, Jet-medium photons as a probe of parton dynamics, Acta Phys. Pol. B 16, 1 (2023).
  31. C. Gale, J.-F. Paquet, B. Schenke, and C. Shen, Multimessenger heavy-ion collision physics, Phys. Rev. C 105, 014909 (2022).
  32. J.-F. Paquet, C. Shen, G. S. Denicol, M. Luzum, B. Schenke, S. Jeon, and C. Gale, Production of photons in relativistic heavy-ion collisions, Phys. Rev. C 93, 044906 (2016).
  33. A. Schäfer, O. Garcia-Montero, J.-F. Paquet, H. Elfner, and C. Gale, Out-of-equilibrium photon production in the late stages of relativistic heavy-ion collisions, Phys. Rev. C 105, 044910 (2022); 109, 049901(E) (2024).
  34. P. B. Arnold, G. D. Moore, and L. G. Yaffe, Transport coefficients in high temperature gauge theories. 1. Leading log results, J. High Energy Phys. 11 (2000) 001.
  35. P. B. Arnold, G. D Moore, and L. G. Yaffe, Transport coefficients in high temperature gauge theories. 2. Beyond leading log, J. High Energy Phys. 05 (2003) 051.
  36. R. Abir and A. Majumder, Drag-induced radiative energy loss from semihard heavy quarks, Phys. Rev. C 94, 054902 (2016).
  37. J. Ghiglieri, G. D. Moore, and D. Teaney, Jet-Medium interactions at NLO in a weakly-coupled quark-gluon plasma, J. High Energy Phys. 03 (2016) 095.
  38. G. Y. Qin, J. Ruppert, C. Gale, S. Jeon, and G. D. Moore, Radiative and collisional energy loss, and photon-tagged jets at RHIC, Eur. Phys. J. C 61, 819 (2009).
  39. C. Sirimanna, S. Cao, and A. Majumder, Final-state gluon emission in deep-inelastic scattering at next-to-leading twist, Phys. Rev. C 105, 024908 (2022).
  40. A. Schafer, X.-N. Wang, and B.-W. Zhang, Multiple parton scattering in nuclei: Quark-quark scattering, Nucl. Phys. A 793, 128 (2007).
  41. J. Collins, Foundations of Perturbative QCD, Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology Vol. 32 (Cambridge University Press, Cambridge, 2011).
  42. R. E. Cutkosky, Singularities and discontinuities of Feynman amplitudes, J. Math. Phys. 1, 429 (1960).
  43. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, MA, 1995).
  44. A. Kumar, A. Majumder, C. Sirimanna, and Y. Tachibana, Modified coherence and the transverse extent of jets, arXiv:2501.07823.
  45. X.-N. Wang and X.-f. Guo, Multiple parton scattering in nuclei: Parton energy loss, Nucl. Phys. A 696, 788 (2001).
  46. A. Kurkela, A. Mazeliauskas, J.-F. Paquet, S. Schlichting, and D. Teaney, Effective kinetic description of event-by-event preequilibrium dynamics in high-energy heavy-ion collisions, Phys. Rev. C 99, 034910 (2019).
  47. A. Kurkela, A. Mazeliauskas, J.-F. Paquet, S. Schlichting, and D. Teaney, Matching the nonequilibrium initial stage of heavy ion collisions to hydrodynamics with QCD kinetic theory, Phys. Rev. Lett. 122, 122302 (2019).
  48. G. Giacalone, A. Mazeliauskas, and S. Schlichting, Hydrodynamic attractors, initial state energy and particle production in relativistic nuclear collisions, Phys. Rev. Lett. 123, 262301 (2019).
  49. S. Kamata, M. Martinez, P. Plaschke, S. Ochsenfeld, and S. Schlichting, Hydrodynamization and nonequilibrium Green's functions in kinetic theory, Phys. Rev. D 102, 056003 (2020).
  50. A. Kumar, A. Majumder, and J. H. Weber, Jet transport coefficient q̂ in lattice QCD, Phys. Rev. D 106, 034505 (2022).
  51. https://pdg.lbl.gov/2022/tables/rpp2022-sum-quarks.pdf.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation