- Open Access
First Search for Decays
Phys. Rev. Lett. 136, 231801 – Published 10 June, 2026
DOI: https://doi.org/10.1103/kf73-hw61
Abstract
We report the first search for the flavor-changing neutral-current decays , where is a hadronic system with strangeness equal to 1, in data collected with the Belle II detector at the SuperKEKB asymmetric-energy collider. The data sample corresponds to an integrated luminosity of collected at the resonance and collected at a center-of-mass energy 60 MeV below resonance for estimation of continuum background. One of the mesons from the decay is fully reconstructed in a hadronic decay mode. The decay is reconstructed with a sum-of-exclusives approach that uses 30 decay modes. This approach provides high sensitivity to the inclusive decay, despite the presence of two undetected neutrinos. The search is performed in three regions of the mass, , chosen to separate contributions from , , and heavier strange final states. We do not observe a significant signal and set upper limits at 90% confidence level on the partial branching fractions for the regions , , and of , , and , respectively. Combining the three mass regions, we obtain the upper limit on the branching fraction, .
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References (53)
- S. L. Glashow, J. Iliopoulos, and L. Maiani, Weak interactions with lepton-hadron symmetry, Phys. Rev. D 2, 1285 (1970).
- A. Khodjamirian, T. Mannel, A. A. Pivovarov, and Y. M. Wang, Charm-loop effect in and , J. High Energy Phys. 09 (2010) 089.
- S. Sahoo, R. Mohanta, and A. K. Giri, Explaining the and anomalies with vector leptoquarks, Phys. Rev. D 95, 035027 (2017).
- A. J. Buras, F. De Fazio, and J. Girrbach, The Anatomy of Z’ and Z with Flavour Changing Neutral Currents in the Flavour Precision Era, J. High Energy Phys. 02 (2013) 116.
- Z. Calcuttawala, A. Kundu, S. Nandi, and S. K. Patra, Optimal observable analysis for the decay plus missing energy, Eur. Phys. J. C 77, 650 (2017).
- A. J. Buras, J. Harz, and M. A. Mojahed, Disentangling new physics in and observables, J. High Energy Phys. 10 (2024) 087.
- I. Adachi et al. (Belle II Collaboration), Evidence for decays, Phys. Rev. D 109, 112006 (2024).
- W. G. Parrott, C. Bouchard, and C. T. H. Davies (HPQCD Collaboration), Standard Model predictions for , and using form factors from lattice QCD, Phys. Rev. D 107, 014511 (2023); 107, 119903(E) (2023).
- M. Abumusabh et al. (Belle II Collaboration), Model-agnostic likelihood for the reinterpretation of the measurement at Belle II, Phys. Rev. D 112, 092016 (2025).
- A. J. Buras, J. Girrbach-Noe, C. Niehoff, and D. M. Straub, decays in the Standard Model and beyond, J. High Energy Phys. 02 (2015) 184.
- T. Felkl, S. L. Li, and M. A. Schmidt, A tale of invisibility: constraints on new physics in , J. High Energy Phys. 12 (2021) 118.
- R. Barate et al. (ALEPH Collaboration), Measurements of BR() and BR() and upper limits on BR() and BR(), Eur. Phys. J. C 19, 213 (2001).
- T. Abe (Belle II Collaboration), Belle II technical design report, arXiv:1011.0352.
- K. Akai, K. Furukawa, and H. Koiso, SuperKEKB collider, Nucl. Instrum. Methods Phys. Res., Sect. A 907, 188 (2018).
- T. Kuhr, C. Pulvermacher, M. Ritter, T. Hauth, and N. Braun (Belle II Framework Software Group), The Belle II Core Software, Comput. Softw. Big Sci. 3, 1 (2019).
- Belle II Collaboration, Belle II Analysis Software Framework (basf2), 10.5281/zenodo.5574115.
- 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).
- 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).
- S. Agostinelli et al. (geant4 Collaboration), GEANT4: A simulation toolkit, Nucl. Instrum. Methods Phys. Res., Sect. A 506, 250 (2003).
- W. G. Parrott, C. Bouchard, and C. T. H. Davies (HPQCD Collaboration), and form factors from fully relativistic lattice QCD, Phys. Rev. D 107, 014510 (2023).
- A. Bharucha, D. M. Straub, and R. Zwicky, in the Standard Model from light-cone sum rules, J. High Energy Phys. 08 (2016) 098.
- T. Saito et al. (Belle Collaboration), Measurement of the branching fraction with a sum of exclusive decays, Phys. Rev. D 91, 052004 (2015).
- R. Aaij et al. (LHCb Collaboration), Measurements of the S-wave fraction in decays and the differential branching fraction, J. High Energy Phys. 11 (2016) 047; 04 (2017) 142(E).
- R. Aaij et al. (LHCb Collaboration), First observations of the rare decays and , J. High Energy Phys. 10 (2014) 064.
- A. Ali, G. Hiller, L. T. Handoko, and T. Morozumi, Power corrections in the decay rate and distributions in in the Standard Model, Phys. Rev. D 55, 4105 (1997).
- C. S. Kim, Y. G. Kim, and K. Y. Lee, Motion of a quark inside a meson: The parton model versus the Altarelli-Cabibbo-Corbo-Maiani-Martinelli model, Phys. Rev. D 57, 4002 (1998).
- Y. Amhis et al. (Heavy Flavor Averaging Group), Averages of -hadron, -hadron, and -lepton properties as of 2021, Phys. Rev. D 107, 052008 (2023).
- W. Altmannshofer, A. J. Buras, D. M. Straub, and M. Wick, New strategies for New Physics search in , and decays, J. High Energy Phys. 04 (2009) 022.
- T. Keck et al., The Full Event Interpretation, Comput. Softw. Big Sci. 3, 6 (2019).
- 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).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- T. Keck, FastBDT: A speed-optimized multivariate classification algorithm for the Belle II experiment, Comput. Softw. Big Sci. 1, 2 (2017).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/kf73-hw61 for details of the BDT input variables, systematic uncertainties, and supplementary figures, which includes Refs. [36–41].
- S. H. Lee et al. (Belle Collaboration), Evidence for , Phys. Rev. Lett. 91, 261801 (2003).
- D. M. Asner et al. (CLEO Collaboration), Search for exclusive charmless hadronic B decays, Phys. Rev. D 53, 1039 (1996).
- G. C. Fox and S. Wolfram, Event shapes in annihilation, Nucl. Phys. B149, 413 (1979); B157, 543(E) (1979).
- F. Abudinén et al. (Belle II Collaboration), A calibration of the Belle II hadronic tag-side reconstruction algorithm with decays, arXiv:2008.06096.
- Y. Sato et al. (Belle Collaboration), Measurement of the lepton forward-backward asymmetry in decays with a sum of exclusive modes, Phys. Rev. D 93, 032008 (2016); 93, 059901(A) (2016).
- A. Ali, P. Ball, L. T. Handoko, and G. Hiller, Comparative study of the decays (, in the standard model and supersymmetric theories, Phys. Rev. D 61, 074024 (2000).
- K. Cranmer, A. Shibata, W. Verkerke, L. Moneta, and G. H. Lewis, HistFactory: A tool for creating statistical models for use with RooFit and RooStats, CERN Report No. CERNOPEN-2012-016, 2012.
- S. Watanuki et al. (Belle Collaboration), Measurements of isospin asymmetry and difference of direct asymmetries in inclusive decays, Phys. Rev. D 99, 032012 (2019).
- B. Aubert et al. (BABAR Collaboration), Evidence for the and decays and Study of the Decay Dynamics of Meson Decays into final states, Phys. Rev. D 76, 092004 (2007).
- J. H. Chen et al. (Belle Collaboration), Observation of with a large polarization, Phys. Rev. Lett. 100, 251801 (2008).
- J. T. Wei et al. (Belle Collaboration), Study of the decay mechanism for and , Phys. Lett. B 659, 80 (2008).
- J. P. Lees et al. (BABAR Collaboration), Study of CP violation in Dalitz-plot analyses of , , and , Phys. Rev. D 85, 112010 (2012).
- J. P. Lees et al. (BABAR Collaboration), Amplitude analysis and measurement of the time-dependent CP asymmetry of decays, Phys. Rev. D 85, 054023 (2012).
- M. Gronau and J. L. Rosner, Symmetry relations in charmless decays, Phys. Rev. D 72, 094031 (2005).
- D. Martschei, M. Feindt, S. Honc, and J. Wagner-Kuhr, Advanced event reweighting using multivariate analysis, J. Phys. Conf. Ser. 368, 012028 (2012).
- M. Abumusabh et al. (Belle and Belle II Collaborations), Observation of the decays and , Phys. Rev. D 112, L051101 (2025).
- A. L. Read, Presentation of search results: The technique, J. Phys. G 28, 2693 (2002).
- Belle-II Collaboration, First search for decays, HEPData (collection), 10.17182/hepdata.169553 (2026).