- Open Access
Event generation at MEPS@NLO accuracy in neutral and charged current DIS at the EIC
Phys. Rev. D 112, 074039 – Published 28 October, 2025
DOI: https://doi.org/10.1103/1c38-jrb1
Abstract
We present state-of-the-art hadron-level predictions for the deep-inelastic scattering process at next-to-leading-order precision for several multiplicities, consistently merged in one sample. For the first time at this level of accuracy, we consider both neutral and charged current deep-inelastic scattering at the Electron-Ion Collider and present the first application of consistent next-to-leading-order merging to charged current deep-inelastic scattering in general. We critically examine inclusive predictions using multileg merging techniques, contrasting perturbative and nonperturbative uncertainties. Further, we study typical kinematic deep-inelastic scattering observables as well as jet measurements and 1-jettiness with realistic cuts implied by expected and past detector resolution. On the perturbative side, we see large corrections toward small virtualities and Bjorken-, which can be captured by higher-multiplicity matrix elements and the merging procedure. Nonperturbative effects, while negligible in most jet observables, can reach similar size as the perturbative uncertainties around the peak of the 1-jettiness distributions especially at low values of .
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References (88)
- M. Klein and R. Yoshida, Collider physics at HERA, Prog. Part. Nucl. Phys. 61, 343 (2008).
- H. Abramowicz and A. Caldwell, HERA collider physics, Rev. Mod. Phys. 71, 1275 (1999).
- P. Newman and M. Wing, The hadronic final state at HERA, Rev. Mod. Phys. 86, 1037 (2014).
- R. K. Ellis, H. Georgi, M. Machacek, H. D. Politzer, and G. G. Ross, Perturbation theory and the parton model in QCD, Nucl. Phys. B152, 285 (1979).
- J. C. Collins, D. E. Soper, and G. Sterman, Factorization of hard processes in QCD, Adv. Ser. Dir. High Energy Phys. 5, 1 (1988).
- A. Accardi et al., Electron Ion Collider: The Next QCD Frontier: Understanding the glue that binds us all, Eur. Phys. J. A 52, 268 (2016).
- R. Abdul Khalek et al., Science requirements and detector concepts for the electron-ion collider: EIC yellow report, Nucl. Phys. A1026, 122447 (2022).
- J. A. M. Vermaseren, A. Vogt, and S. Moch, The Third-order QCD corrections to deep-inelastic scattering by photon exchange, Nucl. Phys. B724, 3 (2005).
- S. Moch, J. A. M. Vermaseren, and A. Vogt, Third-order QCD corrections to the charged-current structure function F(3), Nucl. Phys. B813, 220 (2009).
- J. Currie, T. Gehrmann, E. W. N. Glover, A. Huss, J. Niehues, and A. Vogt, corrections to jet production in deep inelastic scattering using the Projection-to-Born method, J. High Energy Phys. 05 (2018) 209.
- S. Höche, F. Krauss, S. Schumann, and F. Siegert, QCD matrix elements and truncated showers, J. High Energy Phys. 05 (2009) 053.
- T. Carli, T. Gehrmann, and S. Hoeche, Hadronic final states in deep-inelastic scattering with sherpa, Eur. Phys. J. C 67, 73 (2010).
- S. Höche, F. Krauss, M. Schönherr, and F. Siegert, QCD matrix showers: The NLO case, J. High Energy Phys. 04 (2013) 027.
- T. Gehrmann, S. Höche, F. Krauss, M. Schönherr, and F. Siegert, NLO QCD matrix showers in , J. High Energy Phys. 01 (2013) 144.
- I. Helenius, J. O. Laulainen, and C. T. Preuss, Multi-jet production in deep inelastic scattering with pythia, J. High Energy Phys. 05 (2025) 153.
- B. S. Page, X. Chu, and E. C. Aschenauer, Experimental aspects of jet physics at a future EIC, Phys. Rev. D 101, 072003 (2020).
- Y.-T. Chien, A. Deshpande, M. M. Mondal, and G. Sterman, Probing hadronization with flavor correlations of leading particles in jets, Phys. Rev. D 105, L051502 (2022).
- M. Arratia, Y. Song, F. Ringer, and B. V. Jacak, Jets as precision probes in electron-nucleus collisions at the future electron-ion collider, Phys. Rev. C 101, 065204 (2020).
- M. Arratia, Z.-B. Kang, A. Prokudin, and F. Ringer, Jet-based measurements of Sivers and Collins asymmetries at the future electron-ion collider, Phys. Rev. D 102, 074015 (2020).
- L. Zheng, E. C. Aschenauer, J. H. Lee, B.-W. Xiao, and Z.-B. Yin, Accessing the gluon Sivers function at a future electron-ion collider, Phys. Rev. D 98, 034011 (2018).
- M. Arratia, Y. Furletova, T. J. Hobbs, F. Olness, and S. J. Sekula, Charm jets as a probe for strangeness at the future electron-ion collider, Phys. Rev. D 103, 074023 (2021).
- M. Arratia, Z.-B. Kang, S. J. Paul, A. Prokudin, F. Ringer, and F. Zhao, Neutrino-tagged jets at the electron-ion collider, Phys. Rev. D 107, 094036 (2023).
- A. Banfi, S. Ferrario Ravasio, B. Jäger, A. Karlberg, F. Reichenbach, and G. Zanderighi, A POWHEG generator for deep inelastic scattering, J. High Energy Phys. 02 (2024) 023.
- I. Borsa and B. Jäger, Parton-shower effects in polarized deep inelastic scattering, J. High Energy Phys. 07 (2024) 177.
- L. Buonocore, G. Limatola, P. Nason, and F. Tramontano, An event generator for lepton-hadron deep inelastic scattering at with POWHEG including mass effects, J. High Energy Phys. 08 (2024) 083.
- A. Karlberg, disorder: Deep inelastic scattering at high orders, SciPost Phys. Codebases 2024, 32 (2024).
- A. Huss et al. (NNLOJET Collaboration), NNLOJET: A parton-level event generator for jet cross sections at NNLO QCD accuracy, arXiv:2503.22804.
- P. Meinzinger and F. Krauss, Hadron-level NLO predictions for QCD observables in photo-production at the electron-ion collider, Phys. Rev. D 109, 034037 (2024).
- J. Andersen et al., Les Houches 2023: Physics at TeV colliders: Standard model working group report, arXiv:2406.00708.
- M. Dasgupta, F. A. Dreyer, K. Hamilton, P. F. Monni, and G. P. Salam, Logarithmic accuracy of parton showers: A fixed-order study, J. High Energy Phys. 09 (2018) 033.
- M. van Beekveld and S. Ferrario Ravasio, Next-to-leading-logarithmic PanScales showers for deep inelastic scattering and vector boson fusion, J. High Energy Phys. 02 (2024) 001.
- S. Höche, D. Reichelt, and F. Siegert, Momentum conservation and unitarity in parton showers and NLL resummation, J. High Energy Phys. 01 (2018) 118.
- F. Herren, S. Höche, F. Krauss, D. Reichelt, and M. Schönherr, A new approach to color-coherent parton evolution, J. High Energy Phys. 10 (2023) 091.
- B. Assi and S. Höche, New approach to QCD final-state evolution in processes with massive partons, Phys. Rev. D 109, 114008 (2024).
- S. Höche, F. Krauss, and D. Reichelt, alaric parton shower for hadron colliders, Phys. Rev. D 111, 094032 (2025).
- S. Höche, F. Krauss, P. Meinzinger, and D. Reichelt, Recoil-safe subtraction, matching and merging in , arXiv:2507.22837.
- D. Kang, C. Lee, and I. W. Stewart, Using 1-jettiness to measure 2 jets in DIS 3 ways, Phys. Rev. D 88, 054004 (2013).
- S. Bethke et al. (JADE Collaboration), Experimental investigation of the energy dependence of the strong coupling strength, Phys. Lett. B 213, 235 (1988).
- S. Catani, Y. L. Dokshitzer, M. H. Seymour, and B. R. Webber, Longitudinally-invariant -clustering algorithms for hadron–hadron collisions, Nucl. Phys. B406, 187 (1993).
- M. Cacciari, G. P. Salam, and G. Soyez, The anti-k(t) jet clustering algorithm, J. High Energy Phys. 04 (2008) 063.
- M. Arratia, Y. Makris, D. Neill, F. Ringer, and N. Sato, Asymmetric jet clustering in deep-inelastic scattering, Phys. Rev. D 104, 034005 (2021).
- 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).
- R. Kogler et al., Jet substructure at the large hadron collider: Experimental review, Rev. Mod. Phys. 91, 045003 (2019).
- S. Marzani, G. Soyez, and M. Spannowsky, Looking Inside Jets: An Introduction to Jet Substructure and Boosted-Object Phenomenology (Springer, New York, 2019), Vol. 958.
- S. Marzani, Jets at colliders, in Instrumentation and Techniques in High Energy Physics (World Scientific, Singapore, 2025), pp. 179–211.
- A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler, Soft Drop, J. High Energy Phys. 05 (2014) 146.
- J. Baron, D. Reichelt, S. Schumann, N. Schwanemann, and V. Theeuwes, Soft-drop grooming for hadronic event shapes, J. High Energy Phys. 07 (2021) 142.
- J. Baron, S. Marzani, and V. Theeuwes, Soft-drop thrust, J. High Energy Phys. 08 (2018) 105.
- S. Marzani, D. Reichelt, S. Schumann, G. Soyez, and V. Theeuwes, Fitting the strong coupling constant with soft-drop thrust, J. High Energy Phys. 11 (2019) 179.
- A. Gehrmann-De Ridder, C. T. Preuss, D. Reichelt, and S. Schumann, ’ accurate predictions for three-jet event shapes in hadronic Higgs decays, J. High Energy Phys. 07 (2024) 160.
- Y.-T. Chien, O. Fedkevych, D. Reichelt, and S. Schumann, Jet angularities in dijet production in proton-proton and heavy-ion collisions at RHIC, J. High Energy Phys. 07 (2024) 230.
- Y. Makris, Revisiting the role of grooming in DIS, Phys. Rev. D 103, 054005 (2021).
- V. Andreev et al. (H1 Collaboration), Measurement of groomed event shape observables in deep-inelastic electron-proton scattering at HERA, Eur. Phys. J. C 84, 718 (2024).
- E. Bothmann et al., sherpa collaboration, event generation with sherpa3, J. High Energy Phys. 12 (2024) 156.
- F. Krauss, R. Kuhn, and G. Soff, amegic++ 1.0: A matrix element generator in C++, J. High Energy Phys. 02 (2002) 044.
- T. Gleisberg and S. Höche, Comix, A new matrix element generator, J. High Energy Phys. 12 (2008) 039.
- S. Schumann and F. Krauss, A parton shower algorithm based on Catani-Seymour dipole factorisation, J. High Energy Phys. 03 (2008) 038.
- S. Catani and M. H. Seymour, A general algorithm for calculating jet cross sections in NLO QCD, Nucl. Phys. B485, 291 (1997).
- S. Frixione and B. R. Webber, Matching NLO QCD computations and parton shower simulations, J. High Energy Phys. 06 (2002) 029.
- S. Catani, F. Krauss, R. Kuhn, and B. R. Webber, QCD matrix showers, J. High Energy Phys. 11 (2001) 063.
- B. R. Webber, A QCD model for jet fragmentation including soft gluon interference, Nucl. Phys. B238, 492 (1984).
- J.-C. Winter, F. Krauss, and G. Soff, A modified cluster-hadronisation model, Eur. Phys. J. C 36, 381 (2004).
- G. S. Chahal and F. Krauss, Cluster hadronisation in sherpa, SciPost Phys. 13, 019 (2022).
- C. Bierlich et al., A comprehensive guide to the physics and usage of pythia8.3, SciPost Phys. Codebases 2022, 8 (2022).
- C. Bierlich et al., Robust independent validation of experiment and theory: rivet version 3, SciPost Phys. 8, 026 (2020).
- R. D. Ball et al. (NNPDF Collaboration), Parton distributions for the LHC Run II, J. High Energy Phys. 04 (2015) 040.
- A. Buckley, J. Ferrando, S. Lloyd, K. Nordström, B. Page, M. Rüfenacht, M. Schönherr, and G. Watt, lhapdf6: Parton density access in the LHC precision era, Eur. Phys. J. C 75, 132 (2015).
- S. Höche, F. Krauss, M. Schönherr, and F. Siegert, A critical appraisal of matching methods, J. High Energy Phys. 09 (2012) 049.
- S. Catani, S. Dittmaier, M. H. Seymour, and Z. Trocsanyi, The dipole formalism for next-to-leading order QCD calculations with massive partons, Nucl. Phys. B627, 189 (2002).
- M. Cacciari and N. Houdeau, Meaningful characterisation of perturbative theoretical uncertainties, J. High Energy Phys. 09 (2011) 039.
- C. Duhr, A. Huss, A. Mazeliauskas, and R. Szafron, An analysis of Bayesian estimates for missing higher orders in perturbative calculations, J. High Energy Phys. 09 (2021) 122.
- A. Ghosh, B. Nachman, T. Plehn, L. Shire, T. M. P. Tait, and D. Whiteson, Statistical patterns of theory uncertainties, SciPost Phys. Core 6, 045 (2023).
- F. J. Tackmann, Beyond scale variations: Perturbative theory uncertainties from nuisance parameters, J. High Energy Phys. 08 (2025) 098.
- M. A. Lim and R. Poncelet, Robust estimates of theoretical uncertainties at fixed-order in perturbation theory, arXiv:2412.14910.
- E. Bothmann, M. Schönherr, and S. Schumann, Reweighting QCD matrix-element and parton-shower calculations, Eur. Phys. J. C 76, 590 (2016).
- M. Knobbe, F. Krauss, D. Reichelt, and S. Schumann, Measuring hadronic Higgs boson branching ratios at future lepton colliders, Eur. Phys. J. C 84, 83 (2024).
- M. Knobbe, D. Reichelt, and S. Schumann, ’ accurate predictions for plain and groomed 1-jettiness in neutral current DIS, J. High Energy Phys. 09 (2023) 194.
- D. Reichelt, S. Caletti, O. Fedkevych, S. Marzani, S. Schumann, and G. Soyez, Phenomenology of jet angularities at the LHC, J. High Energy Phys. 03 (2022) 131.
- V. Andreev et al. (H1 Collaboration), Unbinned deep learning jet substructure measurement in high collisions at HERA, Phys. Lett. B 844, 138101 (2023).
- V. Andreev et al. (H1 Collaboration), Observation and differential cross section measurement of neutral current DIS events with an empty hemisphere in the Breit frame, Eur. Phys. J. C 84, 720 (2024).
- V. Andreev et al. (H1 Collaboration), Measurement of the 1-jettiness event shape observable in deep-inelastic electron-proton scattering at HERA, Eur. Phys. J. C 84, 785 (2024).
- V. Andreev et al. (H1 Collaboration), Machine learning-assisted measurement of lepton-jet azimuthal angular asymmetries in deep-inelastic scattering at HERA, arXiv:2412.14092.
- M. Knobbe, D. Reichelt, S. Schumann, and L. Stöcker, Precision calculations for groomed event shapes at HERA, Proc. Sci., DIS2024 (2025) 172.
- S. Chekanov et al. (ZEUS Collaboration), Multi-jet cross-sections in charged current scattering at HERA, Phys. Rev. D 78, 032004 (2008).
- U. Amaldi (Ed.), Study of an ep Facility for Europe DESY, Hamburg, April 2-3, 1979., Vol. 790402 (Deutsches Electron Synchrotron/European Committee for Future Accelerators, Hamburg, Germany, 1979).
- H1 Collaboration, Towards unfolding all particles in high DIS events, H1prelim-25-031, DIS 2025.
- M. Dasgupta and G. P. Salam, Resummed event shape variables in DIS, J. High Energy Phys. 08 (2002) 032.
- J.-H. Ee, D. Kang, C. Lee, and I. W. Stewart, Precision DIS thrust predictions for HERA and EIC, J. High Energy Phys. 07 (2025) 240.