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Re-optimization of a deep neural network model for electron-carbon scattering using new experimental data

Beata E. Kowal*, Krzysztof M. Graczyk†, Artur M. Ankowski, Rwik Dharmapal Banerjee, Jose L. Bonilla, Hemant Prasad, and Jan T. Sobczyk

  • *Contact author: beata.kowal@uwr.edu.pl
  • †Contact author: krzysztof.graczyk@uwr.edu.pl

Phys. Rev. C 112, 055504 – Published 18 November, 2025

DOI: https://doi.org/10.1103/ydvc-2567

Abstract

We present an updated deep neural network model for inclusive electron–carbon scattering. Using the bootstrap model [B. E. Kowal et al., Phys. Rev. C 110, 025501 (2024)], we incorporate recent experimental data, as well as older measurements in the deep inelastic scattering region, to derive a reoptimized posterior model. We examine the impact of these new inputs on model predictions and associated uncertainties. Finally, we evaluate the resulting cross-section predictions in the kinematic range relevant to the Hyper-Kamiokande and DUNE experiments.

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References (60)

  1. U. Mosel, Annu. Rev. Nucl. Part. Sci. 66, 171 (2016).
  2. L. Alvarez-Ruso et al. (NuSTEC Collaboration), Prog. Part. Nucl. Phys. 100, 1 (2018).
  3. N. M. Coyle, S. W. Li, and P. A. N. Machado, arXiv:2502.19467.
  4. A. M. Ankowski, A. Ashkenazi, S. Bacca, J. L. Barrow, M. Betancourt, A. Bodek, M. E. Christy, L. Doria, S. Dytman, A. Friedland, O. Hen, C. J. Horowitz, N. Jachowicz, W. Ketchum, T. Lux, K. Mahn, C. Mariani, J. Newby, V. Pandey, A. Papadopoulou et al., J. Phys. G 50, 120501 (2023).
  5. B. Abi et al. (DUNE Collaboration), J. Inst. 15, T08008 (2020).
  6. K. Abe et al. (Hyper-Kamiokande Proto-Collaboration), PTEP 2015, 053C02 (2015).
  7. B. E. Kowal, K. M. Graczyk, A. M. Ankowski, R. D. Banerjee, H. Prasad, and J. T. Sobczyk, Phys. Rev. C 110, 025501 (2024).
  8. K. M. Graczyk, B. E. Kowal, A. M. Ankowski, R. D. Banerjee, J. L. Bonilla, H. Prasad, and J. T. Sobczyk, Phys. Rev. Lett. 135, 052502 (2025).
  9. O. A. Hammal, M. Martini, J. Frontera-Pons, T. H. Nguyen, and R. Pérez-Ramos, Phys. Rev. C 107, 065501 (2023).
  10. J. E. Sobczyk, N. Rocco, and A. Lovato, Phys. Lett. B 859, 139142 (2024).
  11. P. Mehta, M. Bukov, C.-H. Wang, A. G. Day, C. Richardson, C. K. Fisher, and D. J. Schwab, Phys. Rep. 810, 1 (2019), high-bias, low-variance introduction to Machine Learning for physicists.
  12. K. M. Graczyk and M. Matyka, Sci. Rep. 10, 21488 (2020).
  13. K. M. Graczyk, D. Strzelczyk, and M. Matyka, Sci. Rep. 13, 9769 (2023).
  14. A. Radovic, M. Williams, D. Rousseau, M. Kagan, D. Bonacorsi, A. Himmel, A. Aurisano, K. Terao, and T. Wongjirad, Nature (London) 560, 41 (2018).
  15. J. L. Bonilla, K. M. Graczyk, A. M. Ankowski, R. D. Banerjee, B. E. Kowal, H. Prasad, and J. T. Sobczyk, Phys. Rev. D 112, 013007 (2025).
  16. M. El Baz and F. Sánchez, Phys. Rev. D 109, 032008 (2024).
  17. M. El Baz, F. Sánchez, N. Jachowicz, K. Niewczas, A. K. Jha, and A. Nikolakopoulos, Phys. Rev. D 111, 113001 (2025).
  18. D. C. Hackett, J. Isaacson, S. W. Li, K. Tame-Narvaez, and M. L. Wagman, arXiv:2412.16303.
  19. R. G. Huang, A. Cudd, M. Kawaue, T. Kikawa, B. Nachman, V. Mikuni, and C. Wilkinson, Phys. Rev. D 112, 012008 (2025).
  20. L. Alvarez-Ruso, K. M. Graczyk, and E. Saul-Sala, Phys. Rev. C 99, 025204 (2019).
  21. B. Abi et al. (DUNE Collaboration), Eur. Phys. J. C 80, 978 (2020).
  22. M. E. Christy and P. E. Bosted, Phys. Rev. C 81, 055213 (2010).
  23. P. E. Bosted and M. E. Christy, Phys. Rev. C 77, 065206 (2008).
  24. A. Bodek and M. E. Christy, Phys. Rev. C 106, L061305 (2022).
  25. A. Bodek and M. E. Christy, Phys. Rev. C 107, 054309 (2023).
  26. A. Bodek, M. E. Christy, Z. Lin, G.-M. Bulugean, A. M. Delgado, A. M. Ankowski, G. D. Megias, and J. T. Vidal, arXiv:2409.10637.
  27. T. W. Donnelly and I. Sick, Phys. Rev. C 60, 065502 (1999).
  28. G. D. Megias, J. E. Amaro, M. B. Barbaro, J. A. Caballero, and T. W. Donnelly, Phys. Rev. D 94, 013012 (2016).
  29. R. Gonzaléz-Jiménez, G. D. Megias, M. B. Barbaro, J. A. Caballero, and T. W. Donnelly, Phys. Rev. C 90, 035501 (2014).
  30. J. Gonzalez-Rosa, G. D. Megias, J. A. Caballero, and M. B. Barbaro, Phys. Rev. D 111, 073002 (2025).
  31. A. Papadopoulou et al. (e4v Collaboration), Phys. Rev. D 103, 113003 (2021).
  32. M. Khachatryan et al. (CLAS and e4v Collaboration), Nature (London) 599, 565 (2021).
  33. J. Zmuda and K. M. Graczyk AIP Conf. Proc. 1680, 020013 (2015).
  34. S. Abe, Phys. Rev. D 111, 033006 (2025).
  35. U. Mosel and K. Gallmeister, Phys. Rev. D 109, 033008 (2024).
  36. J. Isaacson, W. Jay, A. Lovato, P. Machado, A. Nikolakopoulos, N. Rocco, and N. Steinberg, arXiv:2508.19213.
  37. M. Mihovilovič et al., Few-Body Syst. 65, 78 (2024).
  38. J. Gomez et al., Phys. Rev. D 49, 4348 (1994).
  39. A. M. Ankowski, O. Benhar, and M. Sakuda, Phys. Rev. D 91, 033005 (2015).
  40. J. Arrington et al., Phys. Rev. C 53, 2248 (1996).
  41. J. Arrington et al., Phys. Rev. Lett. 82, 2056 (1999).
  42. D. S. Bagdasaryan, M. K. Boyadzhian, G. B. Kazarian, K. P. A. Kechian, E. R. Markarian, G. G. Mkrtchian, O. P. Petrosian, I. A. Troshenkova, and V. O. Tatevosian (1988), Measurement Of The Spectra Of (e,e′) Scattering Be9 and C12 Nuclei in the Inelastic Region at Q2 approximately 0.4 (GeV/c)2, YERPHI-1077-40-88 (unpublished).
  43. D. Baran et al., Phys. Rev. Lett. 61, 400 (1988).
  44. P. Barreau et al., Nucl. Phys. A 402, 515 (1983).
  45. H. Dai et al., Phys. Rev. C 98, 014617 (2018).
  46. D. B. Day et al., Phys. Rev. C 48, 1849 (1993).
  47. N. Fomin et al., Phys. Rev. Lett. 105, 212502 (2010).
  48. J. S. O'Connell et al., Phys. Rev. C 35, 1063 (1987).
  49. R. M. Sealock et al., Phys. Rev. Lett. 62, 1350 (1989).
  50. R. R. Whitney, I. Sick, J. R. Ficenec, R. D. Kephart, and W. P. Trower, Phys. Rev. C 9, 2230 (1974).
  51. K. M. Graczyk, Phys. Rev. C 84, 034314 (2011).
  52. K. M. Graczyk and C. Juszczak, Phys. Rev. C 90, 054334 (2014).
  53. K. M. Graczyk and C. Juszczak, J. Phys. G 42, 034019 (2015).
  54. R. Tibshirani, Neural Comput. 8, 152 (1996).
  55. L. Breiman, Mach. Learn. 24, 123 (1996).
  56. J. Gawlikowski, C. R. N. Tassi, M. Ali, J. Lee, M. Humt, J. Feng, A. Kruspe, R. Triebel, P. Jung, R. Roscher, M. Shahzad, W. Yang, R. Bamler, and X. X. Zhu, Artif. Intell. Rev. 56, 1513 (2023).
  57. B. Efron, Ann. Stat. 7, 1 (1979).
  58. B. Efron, Ann. Appl. Stat. 6, 1971 (2012).
  59. T. Golan, C. Juszczak, and J. T. Sobczyk, Phys. Rev. C 86, 015505 (2012).
  60. https://github.com/bekowal/CarbonElectronNeuralNetwork.

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