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Nelson-Barr models with vectorlike quark doublets
Phys. Rev. D 114, 015025 – Published 16 July, 2026
DOI: https://doi.org/10.1103/sy92-fyjf
Abstract
We investigate Nelson-Barr (NB) solutions to the strong problem in which spontaneous violation is transmitted to the Standard Model (SM) through mixing with a vectorlike partner of the SM quark doublet. We show that these constructions constitute compelling and phenomenologically viable alternatives to the more widely studied singlet-based NB models. A key result of our analysis is that an accidental symmetry of the renormalizable theory delays the leading contributions to until three loops, naturally suppressing hadronic violation. We outline the main phenomenological constraints, including future electric dipole moment experiments, as well as the main differences between these scenarios and generic models with doublet vectorlike quarks.
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References (35)
- A. E. Nelson, Phys. Lett. 136B, 387 (1984).
- S. M. Barr, Phys. Rev. Lett. 53, 329 (1984).
- L. Bento, G. C. Branco, and P. A. Parada, Phys. Lett. B 267, 95 (1991).
- M. Dine and P. Draper, J. High Energy Phys. 08 (2015) 132.
- G. H. S. Alves and C. C. Nishi, J. High Energy Phys. 09 (2025) 162.
- A. L. Cherchiglia and C. C. Nishi, J. High Energy Phys. 03 (2019) 040.
- A. Valenti and L. Vecchi, J. High Energy Phys. 07 (2021) 152.
- C. Csáki, S. Homiller, and T. Youn, J. High Energy Phys. 03 (2026) 220.
- A. Valenti and L. Vecchi, J. High Energy Phys. 07 (2021) 203.
- A. L. Cherchiglia and C. C. Nishi, J. High Energy Phys. 08 (2020) 104.
- A. L. Cherchiglia, G. De Conto, and C. C. Nishi, J. High Energy Phys. 11 (2021) 093.
- G. H. S. Alves, A. L. Cherchiglia, and C. C. Nishi, Phys. Rev. D 108, 035049 (2023).
- P. Asadi, S. Homiller, Q. Lu, and M. Reece, Phys. Rev. D 107, 11 (2023).
- F. Liu, S. Nakagawa, Y. Nakai, and Y. Wang, J. High Energy Phys. 04 (2026) 178; C. Murgui and S. Patrone, 09 (2025) 113; K. Murai and K. Nakayama, 11 (2024) 098.
- G. Hiller and M. Schmaltz, Phys. Lett. B 514, 263 (2001).
- L. Vecchi, J. High Energy Phys. 04 (2017) 149.
- S. Antusch and V. Maurer, J. High Energy Phys. 11 (2013) 115.
- G. y. Huang and S. Zhou, Phys. Rev. D 103, 016010 (2021).
- R. Benbrik, M. Boukidi, M. Ech-chaouy, S. Moretti, K. Salime, and Q. S. Yan, J. High Energy Phys. 03 (2025) 020.
- J. M. Alves, G. C. Branco, A. L. Cherchiglia, C. C. Nishi, J. T. Penedo, P. M. F. Pereira, M. N. Rebelo, and J. I. Silva-Marcos, Phys. Rep. 1057, 1 (2024).
- D. Buttazzo, G. Degrassi, P. P. Giardino, G. F. Giudice, F. Sala, A. Salvio, and A. Strumia, J. High Energy Phys. 12 (2013) 089.
- B. Belfatto and S. Trifinopoulos, Phys. Rev. D 108, 035022 (2023).
- C. Y. Chen, S. Dawson, and E. Furlan, Phys. Rev. D 96, 015006 (2017).
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- F. del Aguila, M. Perez-Victoria, and J. Santiago, J. High Energy Phys. 09 (2000) 011.
- K. Ishiwata, Z. Ligeti, and M. B. Wise, J. High Energy Phys. 10 (2015) 027.
- C. Bobeth, A. J. Buras, A. Celis, and M. Jung, J. High Energy Phys. 04 (2017) 079.
- A. Glioti, R. Rattazzi, L. Ricci, and L. Vecchi, SciPost Phys. 18, 201 (2025).
- N. Vignaroli, Phys. Rev. D 86, 115011 (2012).
- Y. S. Amhis et al. (HFLAV Collaboration), Phys. Rev. D 107, 052008 (2023).
- M. Misiak, A. Rehman, and M. Steinhauser, J. High Energy Phys. 06 (2020) 175.
- A. Valenti and L. Vecchi, J. High Energy Phys. 01 (2023) 131.
- E. L. F. de Lima and C. C. Nishi, J. High Energy Phys. 11 (2024) 157.
- J. Alexander et al. (pEDM Collaboration), arXiv:2205.00830; arXiv:2504.12797.
- C. C. Nishi and J. I. Silva-Marcos, Phys. Rev. D 108, 095031 (2023); J. I. Silva-Marcos, arXiv:hep-ph/0212089; D. Emmanuel-Costa, N. R. Agostinho, J. I. Silva-Marcos, and D. Wegman, Phys. Rev. D 92, 013012 (2015).