- Open Access
Measurement of the asymmetry in decays at Belle II
Phys. Rev. D 113, 052006 – Published 16 March, 2026
DOI: https://doi.org/10.1103/4yv7-1h85
Abstract
We measure the time- and phase-space-integrated asymmetry in decays reconstructed in events collected by the Belle II experiment from 2019 to 2022. This sample corresponds to an integrated luminosity of . We require mesons to be produced in decays to determine their flavor at production. Control samples of decays are used to correct for reconstruction-induced asymmetries. The result, , where the first uncertainty is statistical and the second systematic, is the most precise result to date and is consistent with conservation.
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References (38)
- S. Bianco, F. L. Fabbri, D. Benson, and I. Bigi, A Cicerone for the physics of charm, Riv. Nuovo Cimento 26, 1 (2003).
- M. Golden and B. Grinstein, Enhanced violations in hadronic charm decays, Phys. Lett. B 222, 501 (1989).
- Y. Grossman, A. L. Kagan, and Y. Nir, New physics and violation in singly Cabibbo suppressed decays, Phys. Rev. D 75, 036008 (2007).
- R. Aaij et al. (LHCb Collaboration), Observation of violation in charm decays, Phys. Rev. Lett. 122, 211803 (2019).
- R. Aaij et al. (LHCb Collaboration), Measurement of the time-integrated asymmetry in decays, Phys. Rev. Lett. 131, 091802 (2023).
- M. Chala, A. Lenz, A. V. Rusov, and J. Scholtz, within the standard model and beyond, J. High Energy Phys. 07 (2019) 161.
- A. Dery and Y. Nir, Implications of the LHCb discovery of violation in charm decays, J. High Energy Phys. 12 (2019) 104.
- M. Gavrilova, Y. Grossman, and S. Schacht, Determination of the ratio of penguin over tree diagrams, Phys. Rev. D 109, 033011 (2024).
- B. Aubert et al. (BABAR Collaboration), Search for violation in neutral meson Cabibbo-suppressed three-body decays, Phys. Rev. D 78, 051102 (2008).
- K. Arinstein et al. (Belle Collaboration), Measurement of the ratio and the time-integrated asymmetry in , Phys. Lett. B 662, 102 (2008).
- R. Aaij et al. (LHCb Collaboration), Search for violation in the phase space of decays with the energy test, J. High Energy Phys. 09 (2023) 129; 04 (2024) 040(E).
- R. Aaij et al. (LHCb Collaboration), Search for time-dependent violation in decays, Phys. Rev. Lett. 133, 101803 (2024).
- D. Buskulic et al. (ALEPH Collaboration), The forward-backward asymmetry for charm quarks at the pole, Phys. Lett. B 352, 479 (1995).
- T. Abe (Belle II Collaboration), Belle II technical design report, arXiv:1011.0352.
- W. Altmannshofer et al., The Belle II physics book, Prog. Theor. Exp. Phys. 2019, 123C01 (2019).
- K. Akai, K. Furukawa, and H. Koiso, SuperKEKB collider, Nucl. Instrum. Methods Phys. Res., Sect. A 907, 188 (2018).
- K. Adamczyk et al. (Belle II SVD Collaboration), The design, construction, operation and performance of the Belle II silicon vertex detector, J. Instrum. 17, P11042 (2022).
- D. Kotchetkov et al., Front-end electronic readout system for the Belle II imaging time-of-propagation detector, Nucl. Instrum. Methods Phys. Res., Sect. A 941, 162342 (2019).
- D. J. Lange, The EvtGen particle decay simulation package, Nucl. Instrum. Methods Phys. Res., Sect. A 462, 152 (2001).
- T. Sjöstrand, S. Ask, J. R. Christiansen, R. Corke, N. Desai, P. Ilten, S. Mrenna, S. Prestel, C. O. Rasmussen, and P. Z. Skands, An Introduction to Pythia 8.2, Comput. Phys. Commun. 191, 159 (2015).
- S. Jadach, B. F. L. Ward, and Z. Wąs, The precision Monte Carlo event generator KK for two-fermion final states in collisions, Comput. Phys. Commun. 130, 260 (2000).
- S. Jadach, J. H. Kuhn, and Z. Wąs, tauola: A library of Monte Carlo programs to simulate decays of polarized tau leptons, Comput. Phys. Commun. 64, 275 (1990).
- E. Barberio, B. van Eijk, and Z. Wąs, Photos: A universal Monte Carlo for QED radiative corrections in decays, Comput. Phys. Commun. 66, 115 (1991).
- E. Barberio and Z. Wąs, Photos: A universal Monte Carlo for QED radiative corrections. Version 2.0, Comput. Phys. Commun. 79, 291 (1994).
- S. Agostinelli et al. (GEANT4 Collaboration), Geant4: A simulation toolkit, Nucl. Instrum. Methods Phys. Res., Sect. A 506, 250 (2003).
- B. Aubert et al. (BABAR Collaboration), Measurement of violation parameters with a Dalitz plot analysis of , Phys. Rev. Lett. 99, 251801 (2007).
- T. Kuhr, C. Pulvermacher, M. Ritter, T. Hauth, and N. Braun (Belle II Framework Software Group), The Belle II core software, Comput. Software Big Sci. 3, 1 (2019).
- Belle II Collaboration, Belle II analysis software framework (BASF2), 10.5281/zenodo.5574115.
- A. Khotanzad and Y. Hong, Invariant image recognition by Zernike moments, IEEE Trans. Pattern Anal. Mach. Intell. 12, 489 (1990).
- T. Keck, FastBDT: A speed-optimized multivariate classification algorithm for the Belle II experiment, Comput. Software Big Sci. 1, 2 (2017).
- I. Adachi et al. (Belle II Collaboration), Charged-hadron identification at Belle II, Eur. Phys. J. C 85, 1237 (2025).
- J.-F. Krohn et al. (Belle II Analysis Software Group), Global decay chain vertex fitting at Belle II, Nucl. Instrum. Methods Phys. Res., Sect. A 976, 164269 (2020).
- M. Pivk and F. R. Le Diberder, sPlot: A statistical tool to unfold data distributions, Nucl. Instrum. Methods Phys. Res., Sect. A 555, 356 (2005).
- N. L. Johnson, Systems of frequency curves generated by methods of translation, Biometrika 36, 149 (1949).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- J. Gaiser, Charmonium spectroscopy from radiative decays of the and , Ph.D. thesis, Stanford University, 1982.
- T. Skwarnicki, A study of the radiative CASCADE transitions between the Upsilon-Prime and Upsilon resonances, Ph.D. thesis, Cracow, INP, 1986.
- B. Efron, Bootstrap methods: Another look at the Jackknife, Ann. Stat. 1, 1 (1979).