Abstract
In this work, we carry out a global fit for the two-body weak decays of antitriplet charmed baryons in both SU(3) respected and broken scenarios incorporating all the available data up to date. In the SU(3) irreducible representation approach (IRA), more amplitudes for irreducible representation terms are taken into account and the ranges for their coefficients in each scenarios are predicted. By a comparison among various fitting schemes in this work, experimental data prefer the SU(3) symmetry breaking scenario. Observables of interest, branching fractions and decay asymmetries of all the Cabibbo-favored (CF), singly Cabibbo-suppressed (SCS) and doubly Cabibbo-suppressed (DCS) channels are calculated in the chosen fitting scheme. Most of our predictions are consistent well with experimental data. We further propose more ways to explore the SU(3) symmetry in charmed baryon decays: (i) A clear measurement of branching fraction on CF mode \( {\Xi}_c^0\to {\Xi}^0{\pi}^0 \) as a large difference exists between SU(3) respected and broken scenarios. (ii) The decay asymmetries of the five yet-to-be measured CF decay modes, \( {\Xi}_c^0\to {\Lambda}^0{K}_S \), Σ0KS, Ξ0π0, Ξ0η, Ξ0η′, for their opposite signs in the two different cases. (iii) The future measurement on branching fraction ratios indicated from eq. (2.10) and presented on table 7. An improved measurement for \( \alpha \left({\Lambda}_c^{+}\to p{K}_S\right) \) is called for since predictions from both fittings, including the one in current work and earlier works, and the pole model calculation prefer an opposite sign from previous experimental value. Given branching fractions of most of the CF modes and part of the SCS modes being measured, predictions for the remaining channels, including the DCS modes as well as more decay asymmetries, are anticipated to be checked by the upcoming experiments in BESIII, Belle/Belle-II and LHCb.
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BESIII collaboration, Observation of the Singly Cabibbo Suppressed Decay \( {\Lambda}_c^{+}\to n{\pi}^{+} \), Phys. Rev. Lett. 128 (2022) 142001 [arXiv:2201.02056] [INSPIRE].
BESIII collaboration, Measurement of the absolute branching fraction of the singly Cabibbo suppressed decay \( {\Lambda}_c^{+}\to {p\eta}^{\prime } \), Phys. Rev. D 106 (2022) 072002 [arXiv:2207.14461] [INSPIRE].
BESIII collaboration, Measurement of the branching fraction of the singly Cabibbo-suppressed decay \( {\Lambda}_c^{+}\to \Lambda {K}^{+} \), Phys. Rev. D 106 (2022) L111101 [arXiv:2208.04001] [INSPIRE].
BESIII collaboration, Measurement of Branching Fractions of Singly Cabibbo-suppressed Decays \( {\Lambda}_c^{+}\to {\Sigma}^0{\textrm{K}}^{+} \) and \( {\Sigma}^{+}{K}_S^0 \), Phys. Rev. D 106 (2022) 052003 [arXiv:2207.10906] [INSPIRE].
Belle collaboration, First Measurement of the \( {\Lambda}_c^{+}\to {p\eta}^{\prime } \) decay, JHEP 03 (2022) 090 [arXiv:2112.14276] [INSPIRE].
Belle collaboration, Search for CP violation and measurement of branching fractions and decay asymmetry parameters for \( {\Lambda}_c^{+}\to \Lambda {h}^{+} \) and \( {\Lambda}_c^{+}\to {\Sigma}^0{h}^{+} \) (h = K, π), Belle Preprint 2022-17 (2022), arXiv:2208.08695 [INSPIRE].
Belle collaboration, Measurements of branching fractions of \( {\Lambda}_c^{+}\to {\Sigma}^{+}\eta \) and \( {\Lambda}_c^{+}\to {\Sigma}^{+}{\eta}^{\prime } \) and asymmetry parameters of \( {\Lambda}_c^{+}\to {\Sigma}^{+}{\pi}^0 \), \( {\Lambda}_c^{+}\to {\Sigma}^{+}\eta \), and \( {\Lambda}_c^{+}\to {\Sigma}^{+}{\eta}^{\prime } \), Belle Preprint 2022-19; KEK Preprint 2022-25 (2022) arXiv:2208.10825 [INSPIRE].
J.G. Korner and M. Kramer, Exclusive nonleptonic charm baryon decays, Z. Phys. C 55 (1992) 659 [INSPIRE].
Q.P. Xu and A.N. Kamal, The Nonleptonic charmed baryon decays: B(c) → B (3/2+, decuplet) + P(0-) or V(1-), Phys. Rev. D 46 (1992) 3836 [INSPIRE].
H.-Y. Cheng and B. Tseng, Cabibbo allowed nonleptonic weak decays of charmed baryons, Phys. Rev. D 48 (1993) 4188 [hep-ph/9304286] [INSPIRE].
M.A. Ivanov, J.G. Korner, V.E. Lyubovitskij and A.G. Rusetsky, Exclusive nonleptonic decays of bottom and charm baryons in a relativistic three quark model: Evaluation of nonfactorizing diagrams, Phys. Rev. D 57 (1998) 5632 [hep-ph/9709372] [INSPIRE].
H.-Y. Cheng, X.-W. Kang and F. Xu, Singly Cabibbo-suppressed hadronic decays of \( {\Lambda}_c^{+} \), Phys. Rev. D 97 (2018) 074028 [arXiv:1801.08625] [INSPIRE].
J. Zou, F. Xu, G. Meng and H.-Y. Cheng, Two-body hadronic weak decays of antitriplet charmed baryons, Phys. Rev. D 101 (2020) 014011 [arXiv:1910.13626] [INSPIRE].
P.-Y. Niu, J.-M. Richard, Q. Wang and Q. Zhao, Hadronic weak decays of Λc in the quark model, Phys. Rev. D 102 (2020) 073005 [arXiv:2003.09323] [INSPIRE].
S. Groote and J.G. Körner, Topological tensor invariants and the current algebra approach: analysis of 196 nonleptonic two-body decays of single and double charm baryons – a review, Eur. Phys. J. C 82 (2022) 297 [arXiv:2112.14599] [INSPIRE].
H.-Y. Cheng, Charmed baryon physics circa 2021, Chin. J. Phys. 78 (2022) 324 [arXiv:2109.01216] [INSPIRE].
C.-D. Lü, W. Wang and F.-S. Yu, Test flavor SU(3) symmetry in exclusive Λc decays, Phys. Rev. D 93 (2016) 056008 [arXiv:1601.04241] [INSPIRE].
C.Q. Geng, C.-W. Liu and T.-H. Tsai, Asymmetries of anti-triplet charmed baryon decays, Phys. Lett. B 794 (2019) 19 [arXiv:1902.06189] [INSPIRE].
F. Huang, Z.-P. Xing and X.-G. He, A global analysis of charmless two body hadronic decays for anti-triplet charmed baryons, JHEP 03 (2022) 143 [arXiv:2112.10556] [INSPIRE].
H.J. Zhao, Y.-L. Wang, Y.K. Hsiao and Y. Yu, A diagrammatic analysis of two-body charmed baryon decays with flavor symmetry, JHEP 02 (2020) 165 [arXiv:1811.07265] [INSPIRE].
D. Wang, C.-P. Jia and F.-S. Yu, A self-consistent framework of topological amplitude and its SU (N ) decomposition, JHEP 21 (2020) 126 [arXiv:2001.09460] [INSPIRE].
X.-G. He and W. Wang, Flavor SU(3) Topological Diagram and Irreducible Representation Amplitudes for Heavy Meson Charmless Hadronic Decays: Mismatch and Equivalence, Chin. Phys. C 42 (2018) 103108 [arXiv:1803.04227] [INSPIRE].
X.-G. He, Y.-J. Shi and W. Wang, Unification of Flavor SU(3) Analyses of Heavy Hadron Weak Decays, Eur. Phys. J. C 80 (2020) 359 [arXiv:1811.03480] [INSPIRE].
Y.K. Hsiao, Y.L. Wang and H.J. Zhao, Equivalent SU(3)f approaches for two-body anti-triplet charmed baryon decays, JHEP 09 (2022) 035 [arXiv:2111.04124] [INSPIRE].
M.J. Savage and R.P. Springer, SU(3) Predictions for Charmed Baryon Decays, Phys. Rev. D 42 (1990) 1527 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
T. Feldmann, P. Kroll and B. Stech, Mixing and decay constants of pseudoscalar mesons, Phys. Rev. D 58 (1998) 114006 [hep-ph/9802409] [INSPIRE].
T. Feldmann, P. Kroll and B. Stech, Mixing and decay constants of pseudoscalar mesons: The Sequel, Phys. Lett. B 449 (1999) 339 [hep-ph/9812269] [INSPIRE].
H.-Y. Cheng and C.-W. Chiang, Two-body hadronic charmed meson decays, Phys. Rev. D 81 (2010) 074021 [arXiv:1001.0987] [INSPIRE].
H.-n. Li, C.-D. Lu and F.-S. Yu, Branching ratios and direct CP asymmetries in D → PP decays, Phys. Rev. D 86 (2012) 036012 [arXiv:1203.3120] [INSPIRE].
H.-Y. Cheng and C.-W. Chiang, CP violation in quasi-two-body D → VP decays and three-body D decays mediated by vector resonances, Phys. Rev. D 104 (2021) 073003 [arXiv:2104.13548] [INSPIRE].
M.J. Savage, SU(3) violations in the nonleptonic decay of charmed hadrons, Phys. Lett. B 257 (1991) 414 [INSPIRE].
D. Pirtskhalava and P. Uttayarat, CP Violation and Flavor SU(3) Breaking in D-meson Decays, Phys. Lett. B 712 (2012) 81 [arXiv:1112.5451] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, C.-W. Liu and T.-H. Tsai, SU(3) symmetry breaking in charmed baryon decays, Eur. Phys. J. C 78 (2018) 593 [arXiv:1804.01666] [INSPIRE].
Belle collaboration, Measurements of the branching fractions of \( {\Lambda}_c^{+}\to p\eta \) and \( {\Lambda}_c^{+}\to p{\pi}^0 \) decays at Belle, Phys. Rev. D 103 (2021) 072004 [arXiv:2102.12226] [INSPIRE].
H. Dembinski et al., scikit-hep/iminuit: v2.20.0, Zenodo (2020).
G. Meng, S.M.-Y. Wong and F. Xu, Doubly Cabibbo-suppressed decays of antitriplet charmed baryons, JHEP 11 (2020) 126 [arXiv:2005.12111] [INSPIRE].
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Zhong, H., Xu, F., Wen, Q. et al. Weak decays of antitriplet charmed baryons from the perspective of flavor symmetry. J. High Energ. Phys. 2023, 235 (2023). https://doi.org/10.1007/JHEP02(2023)235
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DOI: https://doi.org/10.1007/JHEP02(2023)235