- Open Access
Parity violation on longitudinal single-spin asymmetries at the EicC
Phys. Rev. D 111, 116026 – Published 27 June, 2025
DOI: https://doi.org/10.1103/b8tr-9mcw
Abstract
We explore two longitudinal single-spin asymmetries induced from parity violation in neutral-current deep inelastic scattering at the proposed electron-ion collider in China (EicC): from longitudinally polarized (unpolarized) electrons scattering off unpolarized (longitudinally polarized) protons. We find , of , is generically 1 to 3 orders of magnitude larger than . We further estimate different uncertainty sources including statistics, parton distribution functions, and beam polarization, for both asymmetries, and then identify individually their dominance in different regimes of the Bjorken-. Based on these results, we then advocate utilizing for the extraction of the weak mixing angle at two representative momentum transfer scales unexplored before, and we find a relative precision below 10% can be achieved at the EicC with an effective one-year operation time.
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References (42)
- T. D. Lee and Chen-Ning Yang, Question of parity conservation in weak interactions, Phys. Rev. 104, 254 (1956).
- C. S. Wu, E. Ambler, R. W. Hayward, D. D. Hoppes, and R. P. Hudson, Experimental test of parity conservation in decay, Phys. Rev. 105, 1413 (1957).
- R. L. Garwin, L. M. Lederman, and Marcel Weinrich, Observations of the failure of conservation of parity and charge conjugation in meson decays: The magnetic moment of the free muon, Phys. Rev. 105, 1415 (1957).
- J. I. Friedman and V. L. Telegdi, Nuclear emulsion evidence for parity nonconservation in the decay chain , Phys. Rev. 106, 1290 (1957).
- F. J. Hasert et al. (Gargamelle Neutrino Collaboration), Observation of neutrino like interactions without muon or electron in the Gargamelle Neutrino experiment, Phys. Lett. 46B, 138 (1973).
- Robert N. Cahn and Frederick J. Gilman, Polarized electron-nucleon scattering in gauge theories of weak and electromagnetic interactions, Phys. Rev. D 17, 1313 (1978).
- C. Y. Prescott et al., Parity nonconservation in inelastic electron scattering, Phys. Lett. 77B, 347 (1978).
- C. Y. Prescott et al., Further measurements of parity nonconservation in inelastic electron scattering, Phys. Lett. 84B, 524 (1979).
- Yong Du, Xiao-Gang He, Chia-Wei Liu, and Jian-Ping Ma, Impact of parity violation on quantum entanglement and Bell nonlocality, arXiv:2409.15418.
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- Daniel Boer et al., Gluons and the quark sea at high energies: Distributions, polarization, tomography, arXiv:1108.1713.
- 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).
- J. Benesch et al. (MOLLER Collaboration), The MOLLER experiment: An ultra-precise measurement of the weak mixing angle using MOLLER scattering, arXiv:1411.4088.
- Niklaus Berger et al., Measuring the weak mixing angle with the P2 experiment at MESA, J. Univ. Sci. Technol. China 46, 481 (2016).
- Yong Du, Ayres Freitas, Hiren H. Patel, and Michael J. Ramsey-Musolf, Parity-violating Møller scattering at next-to-next-to-leading order: Closed fermion loops, Phys. Rev. Lett. 126, 131801 (2021).
- A. Bondar, A. Grabovsky, A. Reznichenko, A. Rudenko, and V. Vorobyev, Measurement of the weak mixing angle at a super charm-tau factory with data-driven monitoring of the average electron beam polarization, J. High Energy Phys. 03 (2020) 076.
- Jinlin Fu, Hai-Bo Li, Jian-Peng Wang, Fu-Sheng Yu, and Jianyu Zhang, Probing hyperon electric dipole moments with a full angular analysis, Phys. Rev. D 108, L091301 (2023).
- Yong Du, Xiao-Gang He, Jian-Ping Ma, and Xin-Yu Du, Fundamental tests of P and symmetries using octet baryons at the threshold, Phys. Rev. D 110, 076019 (2024).
- Daniele P. Anderle et al., Electron-ion collider in China, Front. Phys. (Beijing) 16, 64701 (2021).
- C. P. Liu, G. Prezeau, and M. J. Ramsey-Musolf, Hadronic parity violation and inelastic electron deuteron scattering, Phys. Rev. C 67, 035501 (2003).
- L. Diaconescu and M. J. Ramsey-Musolf, The vector analyzing power in elastic electron-proton scattering, Phys. Rev. C 70, 054003 (2004).
- M. J. Ramsey-Musolf, Parity-violation with electrons: Theoretical perspectives, Eur. Phys. J. A 24S2, 197 (2005).
- Y. X. Zhao, A. Deshpande, J. Huang, K. S. Kumar, and S. Riordan, Neutral-current weak interactions at an EIC, Eur. Phys. J. A 53, 55 (2017).
- Vincenzo Cirigliano, Kaori Fuyuto, Christopher Lee, Emanuele Mereghetti, and Bin Yan, Charged lepton flavor violation at the EIC, J. High Energy Phys. 03 (2021) 256.
- Bin Yan, Zhite Yu, and C. P. Yuan, The anomalous couplings at the HERA and EIC, Phys. Lett. B 822, 136697 (2021).
- Yandong Liu and Bin Yan, Searching for the axion-like particle at the EIC*, Chin. Phys. C 47, 043113 (2023).
- Hai Tao Li, Bin Yan, and C. P. Yuan, Jet charge: A new tool to probe the anomalous couplings at the EIC, Phys. Lett. B 833, 137300 (2022).
- Bin Yan, Probing the dark photon via polarized DIS scattering at the HERA and EIC, Phys. Lett. B 833, 137384 (2022).
- Radja Boughezal, Alexander Emmert, Tyler Kutz, Sonny Mantry, Michael Nycz, Frank Petriello, Kağan Şimşek, Daniel Wiegand, and Xiaochao Zheng, Neutral-current electroweak physics and SMEFT studies at the EIC, Phys. Rev. D 106, 016006 (2022).
- Alessandro Bacchetta, Matteo Cerutti, Ludovico Manna, Marco Radici, and Xiaochao Zheng, Signals of strong parity violation in deep inelastic scattering, Phys. Lett. B 849, 138455 (2024).
- Reuven Balkin, Or Hen, Wenliang Li, Hongkai Liu, Teng Ma, Yotam Soreq, and Mike Williams, Probing axion-like particles at the electron-ion collider, J. High Energy Phys. 02 (2024) 123.
- Hao-Lin Wang, Xin-Kai Wen, Hongxi Xing, and Bin Yan, Probing the four-fermion operators via the transverse double spin asymmetry at the electron-ion collider, Phys. Rev. D 109, 095025 (2024).
- Xin-Kai Wen, Bin Yan, Zhite Yu, and C. P. Yuan, Dihadron azimuthal asymmetry and light-quark dipole moments at the electron-ion collider, arXiv:2408.07255.
- Yongjie Deng, Xu-Hui Jiang, Tianbo Liu, and Bin Yan, Testing lepton flavor universality at the electron-ion collider, arXiv:2503.02605.
- Jens Erler and Michael J. Ramsey-Musolf, The weak mixing angle at low energies, Phys. Rev. D 72, 073003 (2005).
- Daniel Britzger, Max Klein, and Hubert Spiesberger, Electroweak physics in inclusive deep inelastic scattering at the LHeC, Eur. Phys. J. C 80, 831 (2020).
- P. Agostini et al. (LHeC and FCC-he Study Group), The large hadron–electron collider at the HL-LHC, J. Phys. G 48, 110501 (2021).
- Johannes Blumlein and Nikolai Kochelev, On the twist and twist—three contributions to the spin dependent electroweak structure functions, Nucl. Phys. B498, 285 (1997).
- Johannes Blumlein and Avtandil Tkabladze, Target mass corrections for polarized structure functions and new sum rules, Nucl. Phys. B553, 427 (1999).
- Emanuele R. Nocera, Richard D. Ball, Stefano Forte, Giovanni Ridolfi, and Juan Rojo (NNPDF Collaboration), A first unbiased global determination of polarized PDFs and their uncertainties, Nucl. Phys. B887, 276 (2014).
- L. A. Harland-Lang, A. D. Martin, P. Motylinski, and R. S. Thorne, Parton distributions in the LHC era: MMHT 2014 PDFs, Eur. Phys. J. C 75, 204 (2015).
- A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63, 189 (2009).