- Letter
- Open Access
Complementary violation induced by -odd and -even correlations
Phys. Rev. D 111, L111301 – Published 26 June, 2025
DOI: https://doi.org/10.1103/cdgq-tbww
Abstract
In this Letter, we demonstrate that -odd and -even correlations, with representing time reversal, when satisfying specific conditions, result, respectively, in cosine and sine strong phase dependencies of the corresponding violation. Additionally, we identify pairs of these violation observables in hadron decays depend on precisely the same strong phases within the helicity amplitude scheme. This complementarity could reduce the strong phase reliance in the study of violation while also mitigating the risk of suppressed violation due to exceptionally small strong phases. Moreover, our proposal holds broad application prospects in further investigating violation in baryon decays, which has recently been discovered in the LHCb experiment.
Physics Subject Headings (PhySH)
Article Text
References (48)
- A. D. Sakharov, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967).
- N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).
- M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).
- P. A. R. Ade et al. (Planck Collaboration), Astron. Astrophys. 594, A13 (2016).
- J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Turlay, Phys. Rev. Lett. 13, 138 (1964).
- B. Aubert et al. (BABAR Collaboration), Phys. Rev. Lett. 87, 091801 (2001).
- K. Abe et al. (Belle Collaboration), Phys. Rev. Lett. 87, 091802 (2001).
- R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 122, 211803 (2019).
- R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- F. S. Yu, D. Wang, and H. N. Li, Phys. Rev. Lett. 119, 181802 (2017).
- Y. F. Shen, W. J. Song, and Q. Qin, Phys. Rev. D 110, L031301 (2024).
- W. J. Song, Y. F. Shen, and Q. Qin, Eur. Phys. J. C 84, 1030 (2024).
- Z. H. Zhang, Phys. Lett. B 820, 136537 (2021).
- Z. H. Zhang and X. H. Guo, J. High Energy Phys. 07 (2021) 177.
- C. W. Chiang and L. Wolfenstein, Phys. Rev. D 61, 074031 (2000).
- T. D. Lee and C. N. Yang, Phys. Rev. 104, 254 (1956).
- G. Valencia, Phys. Rev. D 39, 3339 (1989).
- J. F. Donoghue and S. Pakvasa, Phys. Rev. Lett. 55, 162 (1985).
- J. F. Donoghue, X. G. He, and S. Pakvasa, Phys. Rev. D 34, 833 (1986).
- G. Durieux and Y. Grossman, Phys. Rev. D 92, 076013 (2015).
- M. Gronau and J. L. Rosner, Phys. Rev. D 84, 096013 (2011).
- A. Datta and D. London, Int. J. Mod. Phys. A 19, 2505 (2004).
- A. J. Bevan, arXiv:1408.3813.
- Z. J. Ajaltouni, E. Conte, and O. Leitner, Phys. Lett. B 614, 165 (2005).
- O. Leitner and Z. J. Ajaltouni, Nucl. Phys. B, Proc. Suppl. 174, 169 (2007).
- M. Gronau and J. L. Rosner, Phys. Lett. B 749, 104 (2015).
- C. Q. Geng and C. W. Liu, J. High Energy Phys. 11 (2021) 104.
- M. Ablikim et al. (BESIII Collaboration), Nature (London) 606, 64 (2022).
- R. Aaij et al. (LHCb Collaboration), arXiv:2503.16954.
- M. Jacob and G. C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959).
- M. Ablikim et al. (BESIII Collaboration), J. High Energy Phys. 12 (2022) 033.
- M. Ablikim et al. (BESIII Collaboration), J. High Energy Phys. 09 (2022) 242.
- R. Aaij et al. (LHCb Collaboration), Eur. Phys. J. C 79, 745 (2019).
- R. Aaij et al. (LHCb Collaboration), Nat. Phys. 13, 391 (2017).
- G. Durieux, J. High Energy Phys. 10 (2016) 005.
- Z. Rui, J. M. Li, and C. Q. Zhang, Phys. Rev. D 107, 053009 (2023).
- R. Aaij et al. (LHCb Collaboration), Phys. Lett. B 759, 282 (2016).
- R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 08 (2018) 039.
- R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 102, 051101 (2020).
- G. Aad et al. (ATLAS Collaboration), Phys. Rev. D 89, 092009 (2014).
- R. Aaij et al. (LHCb Collaboration), Phys. Lett. B 724, 27 (2013).
- A. M. Sirunyan et al. (CMS Collaboration), Phys. Rev. D 97, 072010 (2018).
- R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 06 (2020) 110.
- M. Ablikim et al. (BESIII Collaboration), Nat. Phys. 15, 631 (2019).
- M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 100, 072004 (2019).
- W. G. D. Dharmaratna and G. R. Goldstein, Phys. Rev. D 53, 1073 (1996).
- A. F. Falk and M. E. Peskin, Phys. Rev. D 49, 3320 (1994).
- V. Fanti, A. Lai, L. Musa, A. Nappi, M. G. Setzu, R. W. Moore, D. J. Munday, M. A. Parker, S. F. Takach, T. O. White et al., Eur. Phys. J. C 6, 265 (1999).