- Open Access
Updated branching ratios and asymmetries in decays
Phys. Rev. D 113, 036004 – Published 2 February, 2026
DOI: https://doi.org/10.1103/h4cg-8jp4
Abstract
Motivated by extensive new high-precision experimental data, we present an updated analysis of the two-body charm decays (with and ) within the factorization-assisted topological-amplitude (FAT) approach. In the framework, flavor SU(3) symmetry breaking effect is incorporated into the topological amplitudes, allowing the nonfactorizable contributions from topological diagrams to be expressed as a minimal set of universal parameters determined through a global fit to experimental data. Thanks to the sufficient data with high precision, we are now able to quantify the nonfactorizable contribution of so-called “factorization” diagram, which is essential for explaining the observed branching ratios. The parameters for the , , and diagrams are also updated with significant improved precision, and notably, the resulting strong phases differ substantially from those in the earlier FAT analysis. We find that the topological amplitude features substantial nonfactorizable effects in the charm sector. These refined parameters enable predictions of significantly improved accuracy, yielding branching ratios in good agreement with current data and the latest results in topological diagram approach, and the predicted direct asymmetries differ distinctly form previous FAT results due to updated strong phases. In several modes, the asymmetries are predicted to reach , thereby making them promising observables for future high-precision experiments at STCF, BES III, LHCb, and Belle II. Predictions for unobserved decay modes, especially those with branching fractions of order , are also provided for forthcoming experimental tests.
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References (51)
- H.-Y. Cheng and C.-W. Chiang, Two-body hadronic charmed meson decays, Phys. Rev. D 81, 074021 (2010).
- B. Bhattacharya and J. L. Rosner, Charmed meson decays to two pseudoscalars, Phys. Rev. D 81, 014026 (2010).
- S. Müller, U. Nierste, and S. Schacht, Topological amplitudes in decays to two pseudoscalars: A global analysis with linear breaking, Phys. Rev. D 92, 014004 (2015).
- S. Iguro, U. Nierste, E. Overduin, and M. Schüßler, sum rules for asymmetries of decays, Phys. Rev. D 111, 035023 (2025).
- H.-Y. Cheng and C.-W. Chiang, Direct violation in two-body hadronic charmed meson decays, Phys. Rev. D 85, 034036 (2012); 85, 079903(E) (2012).
- H.-n. Li, C.-D. Lu, and F.-S. Yu, Branching ratios and direct asymmetries in decays, Phys. Rev. D 86, 036012 (2012).
- Q. Qin, H.-n. Li, C.-D. Lü, and F.-S. Yu, Branching ratios and direct asymmetries in decays, Phys. Rev. D 89, 054006 (2014).
- R. Aaij et al. (LHCb Collaboration), Observation of violation in charm decays, Phys. Rev. Lett. 122, 211803 (2019).
- H.-Y. Cheng, C.-W. Chiang, and A.-L. Kuo, Global analysis of two-body decays within the framework of flavor symmetry, Phys. Rev. D 93, 114010 (2016).
- H.-Y. Cheng and C.-W. Chiang, Revisiting violation in and decays, Phys. Rev. D 100, 093002 (2019).
- H.-Y. Cheng and C.-W. Chiang, violation in quasi-two-body decays and three-body decays mediated by vector resonances, Phys. Rev. D 104, 073003 (2021).
- H.-Y. Cheng and C.-W. Chiang, Updated analysis of , and decays: Implications for asymmetries and mixing, Phys. Rev. D 109, 073008 (2024).
- S.-H. Zhou, Y.-B. Wei, Q. Qin, Y. Li, F.-S. Yu, and C.-D. Lu, Analysis of two-body charmed meson decays in factorization-assisted topological-amplitude approach, Phys. Rev. D 92, 094016 (2015).
- S.-H. Zhou, Q.-A. Zhang, W.-R. Lyu, and C.-D. Lü, Analysis of charmless two-body B decays in factorization assisted topological amplitude approach, Eur. Phys. J. C 77, 125 (2017).
- C. Wang, Q.-A. Zhang, Y. Li, and C.-D. Lu, Charmless decays in factorization-assisted topological-amplitude approach, Eur. Phys. J. C 77, 333 (2017).
- H.-Y. Jiang, F.-S. Yu, Q. Qin, H.-n. Li, and C.-D. Lü, mixing parameter in the factorization-assisted topological-amplitude approach, Chin. Phys. C 42, 063101 (2018).
- D. Wang, F.-S. Yu, P.-F. Guo, and H.-Y. Jiang, asymmetries in -meson decays, Phys. Rev. D 95, 073007 (2017).
- F.-S. Yu, D. Wang, and H.-n. Li, asymmetries in charm decays into neutral kaons, Phys. Rev. Lett. 119, 181802 (2017).
- S.-H. Zhou and C.-D. Lü, Extraction of the CKM phase from the charmless two-body meson decays, Chin. Phys. C 44, 063101 (2020).
- Q. Qin, C. Wang, D. Wang, and S.-H. Zhou, The factorization-assisted topological-amplitude approach and its applications, Front. Phys. (Beijing) 18, 64602 (2023).
- S.-H. Zhou, R.-H. Li, Z.-Y. Wei, and C.-D. Lu, Analysis of three-body charmed B-meson decays under the factorization-assisted topological-amplitude approach, Phys. Rev. D 104, 116012 (2021).
- S.-H. Zhou, X.-X. Hai, R.-H. Li, and C.-D. Lu, Analysis of three-body charmless B-meson decays under the factorization-assisted topological-amplitude approach, Phys. Rev. D 107, 116023 (2023).
- S.-H. Zhou, R.-H. Li, and X.-Y. Lü, Analysis of three-body decays under the factorization-assisted topological-amplitude approach, Phys. Rev. D 110, 056001 (2024).
- J. Ou-Yang, R.-H. Li, and S.-H. Zhou, Analysis of three-body charmed B meson decays , Phys. Rev. D 112, 056005 (2025).
- X.-D. Zhou and S.-H. Zhou, Analysis of three-body hadronic D-meson decays, Phys. Rev. D 111, 116008 (2025).
- W.-F. Wang, J.-Y. Xu, S.-H. Zhou, and P.-P. Shi, Contributions of for the Cabibbo-favored decays, Chin. Phys. 50, 023111 (2026).
- Y.-Y. Keum, H.-n. Li, and A. I. Sanda, Fat penguins and imaginary penguins in perturbative QCD, Phys. Lett. B 504, 6 (2001).
- C.-D. Lu, K. Ukai, and M.-Z. Yang, Branching ratio and violation of decays in perturbative QCD approach, Phys. Rev. D 63, 074009 (2001).
- Z.-T. Zou, C. Li, and C.-D. Lü, Pure annihilation type decays in the perturbative QCD approach, Chin. Phys. C 37, 093101 (2013).
- M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, QCD factorization for decays: Strong phases and violation in the heavy quark limit, Phys. Rev. Lett. 83, 1914 (1999).
- M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, QCD factorization for exclusive, nonleptonic B meson decays: General arguments and the case of heavy light final states, Nucl. Phys. B591, 313 (2000).
- M. Beneke and M. Neubert, QCD factorization for and decays, Nucl. Phys. B675, 333 (2003).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- D. Besson et al. (CLEO Collaboration), Improved measurements of meson semileptonic decays to and mesons, Phys. Rev. D 80, 032005 (2009).
- L. Widhalm et al. (Belle Collaboration), Measurement of form factors and absolute branching fractions, Phys. Rev. Lett. 97, 061804 (2006).
- M. Ablikim et al. (BESIII Collaboration), First measurement of the form factors in and decays, Phys. Rev. Lett. 122, 061801 (2019).
- M. Ablikim et al. (BESIII Collaboration), Improved measurement of the semileptonic decay , Phys. Rev. D 110, 052012 (2024).
- C. Bernard et al., Visualization of semileptonic form factors from lattice QCD, Phys. Rev. D 80, 034026 (2009).
- D.-S. Du, J.-W. Li, and M.-Z. Yang, Form-factors and semileptonic decay of from QCD sum rule, Eur. Phys. J. C 37, 173 (2004).
- H.-J. Tian, Y.-L. Yang, D.-D. Hu, H.-B. Fu, T. Zhong, and X.-G. Wu, Searching for through the exclusive decay within QCD sum rules, Phys. Lett. B 857, 138975 (2024).
- D. Melikhov and B. Stech, Weak form-factors for heavy meson decays: An update, Phys. Rev. D 62, 014006 (2000).
- C.-H. Chen, Y.-L. Shen, and W. Wang, and form factors in covariant light front approach, Phys. Lett. B 686, 118 (2010).
- R. C. Verma, Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model, J. Phys. G 39, 025005 (2012).
- W. Wang and Y.-L. Shen, form factors in the covariant light-front approach and exclusive decays, Phys. Rev. D 78, 054002 (2008).
- D.-D. Hu, X.-G. Wu, L. Zeng, H.-B. Fu, and T. Zhong, Improved light-cone harmonic oscillator model for the -meson longitudinal leading-twist light-cone distribution amplitude and its effects to , Phys. Rev. D 110, 056017 (2024).
- S. Fajfer and J. F. Kamenik, Charm meson resonances and semileptonic form-factors, Phys. Rev. D 72, 034029 (2005).
- S. Momeni and M. Saghebfar, Semileptonic meson decays to the vector, axial vector and scalar mesons in Hard-Wall AdS/QCD correspondence, Eur. Phys. J. C 82, 473 (2022).
- H. A. Ahmed, Y. Chen, and M. Huang, -mesons semileptonic form factors in four-flavor holographic QCD, Phys. Rev. D 109, 026008 (2024).
- Y. Fu-Sheng, X.-X. Wang, and C.-D. Lu, Nonleptonic two body decays of charmed mesons, Phys. Rev. D 84, 074019 (2011).
- A. J. Buras, J. M. Gerard, and R. Ruckl, 1/n expansion for exclusive and inclusive charm decays, Nucl. Phys. B268, 16 (1986).
- M. Achasov et al., STCF conceptual design report (Volume 1): Physics & detector, Front. Phys. (Beijing) 19, 14701 (2024).