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
  • Access by Xinjiang University

Flavor-changing nonglobal logarithms

Andrew J. Larkoski*

  • *Contact author: larkoski@aps.org

Phys. Rev. D 113, 034013 – Published 11 February, 2026

DOI: https://doi.org/10.1103/4jvb-24hk

Abstract

Nonglobal logarithms are low energy correlations between the substructure of a jet and the event in which it is immersed. We study the leading nonglobal logarithms that arise from soft quark-antiquark emission and calculate their coefficient as a series in the jet radius, R, in arbitrary processes. We calculate the exact coefficient through quadratic order in R, and show that this truncation is within 5% of the complete result for radii up to R=1. These quark flavor-dependent nonglobal logarithms are also responsible for the infrared unsafety of a naïve definition of jet flavor that is simply the net sum of quark flavors in the jet of interest. We propose a small modification of this naïve jet flavor that we call subtractive jet flavor in which the problematic soft logarithms are explicitly subtracted. We further demonstrate how our analytic results can be interfaced with automated numerical fixed-order codes to extract subtractive jet flavor cross sections.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (65)

  1. G. P. Salam, Towards jetography, Eur. Phys. J. C 67, 637 (2010).
  2. A. Abdesselam et al., Boosted objects: A probe of beyond the standard model physics, Eur. Phys. J. C 71, 1661 (2011).
  3. A. Altheimer et al., Jet substructure at the tevatron and LHC: New results, new tools, new benchmarks, J. Phys. G 39, 063001 (2012).
  4. A. Altheimer et al., Boosted objects and jet substructure at the LHC, Eur. Phys. J. C 74, 2792 (2014).
  5. A. J. Larkoski, I. Moult, and B. Nachman, Jet substructure at the large hadron collider: A review of recent advances in theory and machine learning, Phys. Rep. 841, 1 (2020).
  6. R. Kogler et al., Jet substructure at the large hadron collider: Experimental review, Rev. Mod. Phys. 91, 045003 (2019).
  7. S. Marzani, G. Soyez, and M. Spannowsky, Looking Inside Jets: An Introduction to Jet Substructure and Boosted-Object Phenomenology, Vol. 958 (Springer, New York, 2019).
  8. M. Dasgupta and G. P. Salam, Resummation of nonglobal QCD observables, Phys. Lett. B 512, 323 (2001).
  9. A. Banfi, G. Marchesini, and G. Smye, Away from jet energy flow, J. High Energy Phys. 08 (2002) 006.
  10. M. D. Schwartz and H. X. Zhu, Nonglobal logarithms at three loops, four loops, five loops, and beyond, Phys. Rev. D 90, 065004 (2014).
  11. S. Caron-Huot, Resummation of non-global logarithms and the BFKL equation, J. High Energy Phys. 03 (2018) 036.
  12. A. J. Larkoski, I. Moult, and D. Neill, Non-global logarithms, factorization, and the soft substructure of jets, J. High Energy Phys. 09 (2015) 143.
  13. T. Becher, M. Neubert, L. Rothen, and D. Y. Shao, Effective field theory for jet processes, Phys. Rev. Lett. 116, 192001 (2016).
  14. R. Ángeles Martínez, M. De Angelis, J. R. Forshaw, S. Plätzer, and M. H. Seymour, Soft gluon evolution and non-global logarithms, J. High Energy Phys. 05 (2018) 044.
  15. A. Banfi, F. A. Dreyer, and P. F. Monni, Higher-order non-global logarithms from jet calculus, J. High Energy Phys. 03 (2022) 135.
  16. S. Ferrario Ravasio, K. Hamilton, A. Karlberg, G. P. Salam, L. Scyboz, and G. Soyez, Parton showering with higher logarithmic accuracy for soft emissions, Phys. Rev. Lett. 131, 161906 (2023).
  17. T. Becher, N. Schalch, and X. Xu, Resummation of next-to-leading nonglobal logarithms at the LHC, Phys. Rev. Lett. 132, 081602 (2024).
  18. H. Weigert, Nonglobal jet evolution at finite N(c), Nucl. Phys. B685, 321 (2004).
  19. Y. Hatta and T. Ueda, Resummation of non-global logarithms at finite Nc, Nucl. Phys. B874, 808 (2013).
  20. K. Khelifa-Kerfa and Y. Delenda, Non-global logarithms at finite Nc beyond leading order, J. High Energy Phys. 03 (2015) 094.
  21. R. Kelley, M. D. Schwartz, R. M. Schabinger, and H. X. Zhu, The two-loop hemisphere soft function, Phys. Rev. D 84, 045022 (2011).
  22. A. Hornig, C. Lee, I. W. Stewart, J. R. Walsh, and S. Zuberi, Non-global structure of the O(αs2) Dijet soft function, J. High Energy Phys. 08 (2011) 054; 10 (2017) 101(E).
  23. A. Banfi, G. P. Salam, and G. Zanderighi, Infrared safe definition of jet flavor, Eur. Phys. J. C 47, 113 (2006).
  24. S. Caletti, A. J. Larkoski, S. Marzani, and D. Reichelt, Practical jet flavour through NNLO, Eur. Phys. J. C 82, 632 (2022).
  25. S. Caletti, A. J. Larkoski, S. Marzani, and D. Reichelt, A fragmentation approach to jet flavor, J. High Energy Phys. 10 (2022) 158.
  26. M. Czakon, A. Mitov, and R. Poncelet, Infrared-safe flavoured antikT jets, J. High Energy Phys. 04 (2023) 138.
  27. R. Gauld, A. Huss, and G. Stagnitto, Flavor identification of reconstructed hadronic jets, Phys. Rev. Lett. 130, 161901 (2023).
  28. F. Caola, R. Grabarczyk, M. L. Hutt, G. P. Salam, L. Scyboz, and J. Thaler, Flavored jets with exact anti-kt kinematics and tests of infrared and collinear safety, Phys. Rev. D 108, 094010 (2023).
  29. A. Behring et al., Flavoured jet algorithms: A comparative study, J. High Energy Phys. 09 (2025) 149.
  30. R. Aaij et al. (LHCb Collaboration), First measurement of b-jet mass with and without grooming, Phys. Lett. B 869, 139854 (2025).
  31. M. Cacciari, G. P. Salam, and G. Soyez, The anti-kt jet clustering algorithm, J. High Energy Phys. 04 (2008) 063.
  32. J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer, H. S. Shao, T. Stelzer, P. Torrielli, and M. Zaro, The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations, J. High Energy Phys. 07 (2014) 079.
  33. S. Catani and M. Grazzini, Infrared factorization of tree level QCD amplitudes at the next-to-next-to-leading order and beyond, Nucl. Phys. B570, 287 (2000).
  34. F. Aversa, M. Greco, P. Chiappetta, and J. P. Guillet, Jet inclusive production to O(alphas3): Comparison with data, Phys. Rev. Lett. 65, 401 (1990).
  35. B. Jager, M. Stratmann, and W. Vogelsang, Single inclusive jet production in polarized pp collisions at O(alphas3), Phys. Rev. D 70, 034010 (2004).
  36. M. Dasgupta, L. Magnea, and G. P. Salam, Non-perturbative QCD effects in jets at hadron colliders, J. High Energy Phys. 02 (2008) 055.
  37. A. Hornig, C. Lee, J. R. Walsh, and S. Zuberi, Double non-global logarithms In-N-Out of jets, J. High Energy Phys. 01 (2012) 149.
  38. M. Dasgupta, K. Khelifa-Kerfa, S. Marzani, and M. Spannowsky, On jet mass distributions in Z+jet and dijet processes at the LHC, J. High Energy Phys. 10 (2012) 126.
  39. M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam, Towards an understanding of jet substructure, J. High Energy Phys. 09 (2013) 029.
  40. G. P. Lepage, A new algorithm for adaptive multidimensional integration, J. Comput. Phys. 27, 192 (1978).
  41. G. P. Lepage, vegas: An adaptive multidimensional integration program (1980).
  42. T. Hahn, cuba: A library for multidimensional numerical integration, Comput. Phys. Commun. 168, 78 (2005).
  43. A. Hayrapetyan et al. (CMS Collaboration), A method for correcting the substructure of multiprong jets using the Lund jet plane, J. High Energy Phys. 11 (2025) 038.
  44. V. Chekhovsky et al. (CMS Collaboration), Search for top squarks in final states with many light-flavor jets and 0, 1, or 2 charged leptons in proton-proton collisions at s=13TeV, J. High Energy Phys. 10 (2025) 236.
  45. G. Aad et al. (ATLAS Collaboration), Measurement of the top quark mass with the ATLAS detector using tt¯ events with a high transverse momentum top quark, Phys. Lett. B 867, 139608 (2025).
  46. G. Aad et al. (ATLAS Collaboration), Search for decays of the Higgs boson into scalar particles decaying into four or six b-quarks using pp collisions at s=13TeV with the ATLAS detector, Phys. Rev. D 112, 072005 (2025).
  47. G. Aad et al. (ATLAS Collaboration), Search for a new pseudoscalar decaying into a pair of bottom and antibottom quarks in top-associated production in s=13TeV proton–proton collisions with the ATLAS detector, Eur. Phys. J. C 85, 886 (2025).
  48. G. Salam, [jet] flavour and irc safety (2024).
  49. T. Becher and M. D. Schwartz, A precise determination of αs from LEP thrust data using effective field theory, J. High Energy Phys. 07 (2008) 034.
  50. R. Gauld, A. Gehrmann-De Ridder, E. W. N. Glover, A. Huss, and I. Majer, Predictions for Z -boson production in association with a b-Jet at O(αs3), Phys. Rev. Lett. 125, 222002 (2020).
  51. M. Czakon, A. Mitov, M. Pellen, and R. Poncelet, NNLO QCD predictions for W+cjet production at the LHC, J. High Energy Phys. 06 (2021) 100.
  52. A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss, A. R. Garcia, and G. Stagnitto, Precise QCD predictions for W-boson production in association with a charm jet, Eur. Phys. J. C 84, 361 (2024).
  53. J. Mazzitelli, V. Sotnikov, and M. Wiesemann, Next-to-next-to-leading order event generation for Z-boson production in association with a bottom-quark pair, Phys. Rev. D 112, 056031 (2025).
  54. C. Biello, J. Mazzitelli, A. Sankar, M. Wiesemann, and G. Zanderighi, Higgs boson production in association with massive bottom quarks at NNLO+PS, J. High Energy Phys. 04 (2025) 088.
  55. S. D. Ellis and D. E. Soper, Successive combination jet algorithm for hadron collisions, Phys. Rev. D 48, 3160 (1993).
  56. S. Catani, Y. L. Dokshitzer, M. H. Seymour, and B. R. Webber, Longitudinally invariant Kt clustering algorithms for hadron hadron collisions, Nucl. Phys. B406, 187 (1993).
  57. Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber, Better jet clustering algorithms, J. High Energy Phys. 08 (1997) 001.
  58. M. Wobisch and T. Wengler, Hadronization corrections to jet cross-sections in deep inelastic scattering, in Workshop on Monte Carlo Generators for HERA Physics (Plenary Starting Meeting) (1998), pp. 270–279.
  59. M. Cacciari, G. P. Salam, and G. Soyez, fastjet user manual, Eur. Phys. J. C 72, 1896 (2012).
  60. J. Campbell and T. Neumann, Precision phenomenology with mcfm, J. High Energy Phys. 12 (2019) 034.
  61. S. Catani, L. Trentadue, G. Turnock, and B. R. Webber, Resummation of large logarithms in e+e event shape distributions, Nucl. Phys. B407, 3 (1993).
  62. T. Generet, IRC-safe jet flavour without modifying anything, arXiv:2511.23423.
  63. S. Höche, F. Krauss, and D. Reichelt, alaric parton shower for hadron colliders, Phys. Rev. D 111, 094032 (2025).
  64. C. T. Preuss, A partitioned dipole-antenna shower with improved transverse recoil, J. High Energy Phys. 07 (2024) 161.
  65. M. van Beekveld et al., Introduction to the PanScales framework, version 0.1, SciPost Phys. Codebases 2024, 31 (2024).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation