- Open Access
New energy-loss constraints on dark sectors from deeply inelastic scattering with initial state radiation
Phys. Rev. D 114, 075035 – Published 27 October, 2026
DOI: https://doi.org/10.1103/rjgy-fcr8
Abstract
We employ the joint QED and QCD factorization of deeply inelastic, electron-proton scattering with generic initial state radiation to probe the possibility of exotic particle emission—i.e., of weakly coupled particles originating from a dark or hidden sector—through anomalous energy loss. We leverage this possibility through the consideration of phase-space-limited kinematic regions, for which the emission of an additional, undetected particle can particularly impact the associated cross section. In this first paper, as a proof of principle, we focus on radiation from the incoming electron, considering the modification of the lepton distribution function from the emission of particles, that could have spin of up to 2 and various, well-motivated electron couplings. We illustrate the sensitivity of our approach through the computation of the modified cross sections for the emission of MeV-GeV mass-scale, spin 0 particles in kinematics chosen for their sensitivity to initial state electron radiation and suitable to the forward-backward detection sensitivity of the ePIC detector at the Electron Ion Collider.
Physics Subject Headings (PhySH)
- Electroweak radiative corrections
- Extensions of scalar sector
- Hypothetical particle physics models
- Hypothetical particle production
- Inelastic scattering reactions
- Particle dark matter
- Parton distribution functions
- Perturbative QCD
- QCD phenomenology
- Quantum electrodynamics
- Axion-like particles
- Hypothetical scalars
- Lepton-hadron colliders
Article Text
References (78)
- A. S. Chou et al., in Snowmass 2021 (2022), arXiv:2211.09978.
- R. Alarcon et al., in Snowmass 2021 (2022), arXiv:2203.08103.
- B. P. Abbott et al., Phys. Rev. X 6, 041015 (2016).
- C. de Rham, Living Rev. Relativity 17, 7 (2014).
- T. Liu, W. Melnitchouk, J.-W. Qiu, and N. Sato, Phys. Rev. D 104, 094033 (2021).
- T. Liu, W. Melnitchouk, J.-W. Qiu, and N. Sato, J. High Energy Phys. 11 (2021) 157.
- J. Cammarota, J.-W. Qiu, K. Watanabe, and J.-Y. Zhang, Phys. Rev. D 112, 056007 (2025).
- Y.-S. Tsai, Phys. Rev. 122, 1898 (1961).
- L. W. Mo and Y. S. Tsai, Rev. Mod. Phys. 41, 205 (1969).
- Y.-S. Tsai, in Proceedings of NATO Advanced Institute on Electron Scattering and Nuclear Structure, Cagliari (1971).
- D. Y. Bardin and N. M. Shumeiko, Nucl. Phys. B127, 242 (1977).
- D. Y. Bardin, C. Burdik, P. C. Khristova, and T. Riemann, Z. Phys. C 42, 679 (1989).
- D. Y. Bardin, K. C. Burdik, P. K. Khristova, and T. Riemann, Z. Phys. C 44, 149 (1989).
- B. Badelek, D. Y. Bardin, K. Kurek, and C. Scholz, Z. Phys. C 66, 591 (1995).
- J. Kripfganz, H. J. Mohring, and H. Spiesberger, Z. Phys. C 49, 501 (1991).
- H. Spiesberger, Phys. Rev. D 52, 4936 (1995).
- J. Blumlein and H. Kawamura, Eur. Phys. J. C 51, 317 (2007).
- A. Patella, Proc. Sci. LATTICE2016 (2017) 020. [arXiv:1702.03857].
- H.-W. Lin, Prog. Part. Nucl. Phys. 144, 104177 (2025).
- L. Cieri, G. Ferrera, and G. F. R. Sborlini, J. High Energy Phys. 08 (2018) 165.
- A. Autieri, L. Cieri, G. Ferrera, and G. F. R. Sborlini, J. High Energy Phys. 07 (2023) 104.
- L. Buonocore, L. Rottoli, and P. Torrielli, J. High Energy Phys. 07 (2024) 193.
- A. Autieri, S. Camarda, L. Cieri, G. Ferrera, and G. Sborlini, J. High Energy Phys. 03 (2026) 113.
- D. de Florian and L. P. Conte, Eur. Phys. J. C 86, 118 (2026).
- A. Berlin, N. Blinov, G. Krnjaic, P. Schuster, and N. Toro, Phys. Rev. D 99, 075001 (2019).
- Y. Ema, P. J. Fox, M. Hostert, T. Menzo, M. Pospelov, A. Ray, and J. Zupan, Phys. Rev. D 112, 115028 (2025).
- R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
- I. Moult and H. X. Zhu, arXiv:2506.09119.
- Y. Guo, W. Vogelsang, F. Yuan, and W. Zhao, Phys. Rev. D 113, 074027 (2026).
- A. Anastasi et al., Phys. Lett. B 767, 485 (2017).
- E. L. Berger and J. Qiu, Phys. Lett. B 248, 371 (1990).
- S. Weinberg, Phys. Rev. 135, B1049 (1964).
- M. Fierz and W. Pauli, Proc. R. Soc. A 173, 211 (1939).
- M. Maggiore, Gravitational Waves: Volume 1: Theory and Experiments (Oxford University Press, New York, 2007).
- J. C. Collins, D. E. Soper, and G. F. Sterman, Nucl. Phys. B261, 104 (1985).
- J. C. Collins and D. E. Soper, Nucl. Phys. B194, 445 (1982).
- J. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, England, 2011), Vol. 32.
- J. B. Kogut and D. E. Soper, Phys. Rev. D 1, 2901 (1970).
- G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
- G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977).
- V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).
- D. de Florian, G. F. R. Sborlini, and G. Rodrigo, Eur. Phys. J. C 76, 282 (2016).
- D. de Florian, G. F. R. Sborlini, and G. Rodrigo, J. High Energy Phys. 10 (2016) 056.
- V. Silveira and A. Zee, Phys. Lett. 161B, 136 (1985).
- D. J. E. Marsh, Phys. Rep. 643, 1 (2016).
- J. M. Cline, K. Kainulainen, P. Scott, and C. Weniger, Phys. Rev. D 88, 055025 (2013); 92, 039906(E) (2015).
- M. S. Turner, Phys. Rep. 197, 67 (1990).
- J. Alexander et al., arXiv:1608.08632.
- P. Langacker, Rev. Mod. Phys. 81, 1199 (2009).
- T. Han, J. D. Lykken, and R.-J. Zhang, Phys. Rev. D 59, 105006 (1999).
- J. F. Donoghue, M. M. Ivanov, and A. Shkerin, EPFL Lectures on General Relativity as a Quantum Field Theory (2017), arXiv:1702.00319.
- G. D’Amico, C. de Rham, S. Dubovsky, G. Gabadadze, D. Pirtskhalava, and A. J. Tolley, Phys. Rev. D 84, 124046 (2011).
- V. A. Rubakov, arXiv:hep-th/0407104.
- V. A. Rubakov and P. G. Tinyakov, Phys. Usp. 51, 759 (2008).
- D. Blas, J. Carlton, and C. McCabe, Phys. Rev. D 111, 115020 (2025).
- A. I. Vainshtein, Phys. Lett. 39B, 393 (1972).
- E. Babichev and C. Deffayet, Classical Quantum Gravity 30, 184001 (2013).
- L. Alberte, C. de Rham, A. Momeni, J. Rumbutis, and A. J. Tolley, J. High Energy Phys. 03 (2020) 097.
- A. Berlin, A. J. Millar, T. Trickle, and K. Zhou, J. High Energy Phys. 05 (2024) 314.
- R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977).
- P. Adshead and K. D. Lozanov, J. High Energy Phys. 08 (2022) 077.
- S. L. Adler, Phys. Rev. 177, 2426 (1969).
- J. S. Bell and R. Jackiw, Nuovo Cimento A 60, 47 (1969).
- S. L. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969).
- S. J. Brodsky, S. Gardner, and D. S. Hwang, Phys. Rev. D 73, 036007 (2006).
- J.-W. Qiu and K. Watanabe, Prog. Theor. Exp. Phys. 2026, ptag170 (2026).
- I. Abt et al. (ZEUS Collaboration), Eur. Phys. J. C 83, 1082 (2023).
- H. Bossi et al. (Electron-Positron Alliance Collaboration), arXiv:2511.00149.
- T.-J. Hou et al., Phys. Rev. D 103, 014013 (2021).
- T. Han, Y. Ma, and K. Xie, J. High Energy Phys. 02 (2022) 154.
- J. P. Lees et al. (BABAR Collaboration), Phys. Rev. Lett. 125, 181801 (2020).
- D. Biswas et al. (Belle Collaboration), Phys. Rev. D 109, 032002 (2024).
- A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
- Y. M. Andreev et al. (NA64 Collaboration), arXiv:2505.14291.
- T. Akesson et al., arXiv:2508.11833.
- H. Yang, in 32nd International Symposium on Lepton Photon Interactions at High Energies: Lepton-Photon 2025 (2025), arXiv:2512.13301.
- H. Davoudiasl, R. Marcarelli, and E. T. Neil, Phys. Rev. D 108, 075017 (2023).
- R. Balkin, O. Hen, W. Li, H. Liu, T. Ma, Y. Soreq, and M. Williams, J. High Energy Phys. 02 (2024) 123.