Topological amplitudes of charmed baryon decays in the $SU(3{)}_F$ limit

Abstract

Charmed baryon decay plays an important role in studying the weak and strong interactions. Topological diagram is an intuitive tool for analyzing the dynamics of heavy hadron decays. In this work, we investigate the topological diagrams of charmed baryon antitriplet (${\mathcal{B}}_{c\overline{3}}$) decays into a light baryon octet (${\mathcal{B}}_8$) and a light meson ($M$). The topological diagrams of the ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_8^{S}M$ modes (where ${\mathcal{B}}_8^S$ and ${\mathcal{B}}_8^A$ are the $q_1\leftrightarrow q_2$ symmetric and antisymmetric octets) and the diagrams with a quark loop are presented for the first time. The completeness of topologies is confirmed by permutation. The linear relations of topologies are obtained by deriving the relation between the topological amplitudes constructed by the third- and second-rank octet tensors. The equations of $SU(3)$ irreducible amplitudes decomposed by topologies are derived through two different intermediate amplitudes. However, the inverse solution does not exist since the number of topologies exceeds number of $SU(3)$ irreducible amplitudes. Applying this framework to the Standard Model, it is found there are thirteen independent $SU(3)$ irreducible amplitudes contributing to the ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{8}M$ decays. Among these, four amplitudes associated with three-dimensional operators are significant for $CP$ asymmetries. Considering the suppressions due to small Cabibbo-Kobayashi-Maskawa matrix elements $V_{cb}^{\ast }{V}_{ub}$ and the Körner-Pati-Woo theorem, the branching fractions of charmed baryon decays are dominated by five $SU(3)$ irreducible amplitudes in the $SU(3{)}_F$ limit.

arXiv comment27 pages, 2 figures

References in corpus (57)

• Weak Decays Beyond Leading Logarithms
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• Observation of $CP$ violation in charm decays
• Measurements of absolute hadronic branching fractions of ${\Lambda }_c^{+}$ baryon
• A consistent picture for large penguins in D -> pi+ pi-, K+ K-
• CP asymmetries in singly-Cabibbo-suppressed $D$ decays to two pseudoscalar mesons
• SU(3) symmetry breaking and CP violation in D -> PP decays
• Measurement of the Branching Fraction Br(Lambda_c+ -> p K- pi+)
• Measurement of the absolute branching fraction for ${\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e$
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• The Emergence of the $\Delta U=0$ Rule in Charm Physics
• Analysis of Two-Body Decays of Charmed Baryons Using the Quark-Diagram Scheme
• Measurement of the Absolute Branching Fraction for ${\Lambda }_c^{+}\to \Lambda {\mu }^{+}{\nu }_{\mu }$
• Sum Rules of Charm CP Asymmetries beyond the SU(3)${}_F$ Limit
• A diagrammatic analysis of two-body charmed baryon decays with flavor symmetry
• Flavor SU(3) Topological Diagram and Irreducible Representation Amplitudes for Heavy Meson Charmless Hadronic Decays: Mismatch and Equivalence
• First Observation of Doubly Cabibbo-Suppressed Decay of a Charmed Baryon: ${\Lambda }_c^{+}\to p{K}^{+}{\pi }^{-}$
• Measurements of Weak Decay Asymmetries of ${\Lambda }_c^{+}\to p{K}_S^0$, $\Lambda {\pi }^{+}$, ${\Sigma }^{+}{\pi }^0$, and ${\Sigma }^0{\pi }^{+}$
• Measurements of the branching fractions of the semileptonic decays ${\Xi }_c^0\to {\Xi }^{-}{\ell }^{+}{\nu }_{\ell }$ and the asymmetry parameter of ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$
• Observation of ${\Lambda }_c^{+}\to n{K}_S^0{\pi }^{+}$
• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• Measurement of the time-integrated $CP$ asymmetry in $D^0\to K^{-}{K}^{+}$ decays
• A measurement of the $CP$ asymmetry difference in ${\Lambda }_c^{+}\to p{K}^{-}{K}^{+}$ and $p{\pi }^{-}{\pi }^{+}$ decays
• Evidence for the singly-Cabibbo-suppressed decay ${\Lambda }_c^{+}\to p\eta$ and search for ${\Lambda }_c^{+}\to p{\pi }^0$
• Charmed baryon decays in $SU(3{)}_F$ symmetry
• Search for the rare decay ${\Lambda }_c^{+}\to p{\mu }^{+}{\mu }^{-}$
• Measurement of Singly Cabibbo Suppressed Decays ${\Lambda }_c^{+}\to p{\pi }^{+}{\pi }^{-}$ and ${\Lambda }_c^{+}\to p{K}^{+}{K}^{-}$
• Measurements of Absolute Branching Fractions for ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}$ and $\Xi (1530{)}^0{K}^{+}$
• Measurement of the absolute branching fraction of the inclusive semileptonic ${\Lambda }_c^{+}$ decay
• Measurement of absolute branching fraction of the inclusive decay ${\Lambda }_c^{+}\to \Lambda +X$
• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• Two-body charmed baryon decays involving decuplet baryon in the quark-diagram scheme
• Observation of a near-threshold enhancement in the $\Lambda \bar{\Lambda }$ mass spectrum from $e^{+}{e}^{-}\to \varphi \Lambda \bar{\Lambda }$ at $\sqrt{s}$ from 3.51 to 4.60 GeV
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to n{\pi }^{+}$
• First test of Lepton Flavor Universality in the charmed baryon decays ${\Omega }_c^0\to {\Omega }^{-}{\ell }^{+}{\nu }_{\ell }$ using data of the Belle experiment
• Search for ${\Lambda }_c^{+}\to \varphi p{\pi }^0$ and branching fraction measurement of ${\Lambda }_c^{+}\to K^{-}{\pi }^{+}p{\pi }^0$
• Measurement of the absolute branching fractions of ${\Lambda }_c^{+}\to \Lambda \eta {\pi }^{+}$ and $\Sigma (1385{)}^{+}\eta$
• Search for $CP$ violation and measurement of branching fractions and decay asymmetry parameters for ${\Lambda }_c^{+}\to \Lambda h^{+}$ and ${\Lambda }_c^{+}\to {\Sigma }^0{h}^{+}$ ($h=K,\pi$)
• Observation of the decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{\pi }^{+}{\pi }^{+}{\pi }^0$
• Search for a massless dark photon in ${\Lambda }_c^{+}\to p{\gamma }^{\prime }$ decay
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Partial wave analysis of the charmed baryon hadronic decay ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}{\pi }^0$
• Observations of the Cabibbo-Suppressed decays ${\Lambda }_c^{+}\to n{\pi }^{+}{\pi }^0$, $n{\pi }^{+}{\pi }^{-}{\pi }^{+}$ and the Cabibbo-Favored decay ${\Lambda }_c^{+}\to n{K}^{-}{\pi }^{+}{\pi }^{+}$
• Determination of the ${\Lambda }_c^{+}$ spin via the reaction $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$
• Measurement of the branching fractions of the singly Cabibbo-suppressed decays ${\Lambda }_c^{+}\to p\eta$ and ${\Lambda }_c^{+}\to p\omega$
• Generation of $SU(3)$ sum rule for charmed baryon decay
• Measurement of the absolute branching fraction of the singly Cabibbo suppressed decay ${\Lambda }_c^{+}\to p{\eta }^{\prime }$
• 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 ${\Lambda }_c^{+}\to {\Sigma }^{+}{\eta }^{\prime }$
• Evidence of the Singly Cabibbo Suppressed decay ${\Lambda }_c^{+}\to p{\pi }^0$
• Measurement of the branching fraction of ${\Lambda }_c^{+}\to p\omega$ decay at Belle
• Measurement of the Decays ${\Lambda }_c\to \Sigma \pi \pi$ at Belle
• Measurement of the absolute branching fraction of the inclusive decay ${\bar{\Lambda }}_c^{-}\to \bar{n}+X$
• Measurement of branching fractions of ${\Lambda }_c^{+}$ decays to ${\Sigma }^{+}{K}^{+}{K}^{-}$, ${\Sigma }^{+}\varphi$ and ${\Sigma }^{+}{K}^{+}{\pi }^{-}({\pi }^0)$
• Measurement of the absolute branching fraction of the inclusive decay ${\Lambda }_c^{+}\to K_S^{0}X$
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{K}^{+}{\pi }^{+}$

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• Implications of recent LHCb data on CPV in b-baryon four body decays
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• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit