Weak decays of doubly heavy baryons: "decay constants"

Abstract

Inspired by the recent observation of the ${\Xi }_{cc}^{++}$ by LHCb collaboration, we explore the "decay constants" of doubly heavy baryons in the framework of QCD sum rules. With the ${\Xi }_{cc},{\Xi }_{bc},{\Xi }_{bb}$, and ${\Omega }_{cc},{\Omega }_{bc},{\Omega }_{bb}$ baryons interpolated by three-quark operators, we calculate the correlation functions using the operator product expansion and include the contribution from operators up to dimension six. On the hadron side, we consider both contributions from the lowest-lying states with $J^P=1/2^{+}$ and from negative parity baryons with $J^P=1/2^{-}$. We find that the results are stable and the contaminations from negative parity baryons are not severe. These results are ingredients for the QCD study of weak decays and other properties of doubly-heavy baryons.

15 pages, 4 figures, 4 tables, to be published in Chinese Physics C

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Cited by in corpus (28)

• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}V$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• Rescattering mechanism of weak decays of double-charm baryons
• Towards a Heavy Diquark Effective Theory for Weak Decays of Doubly Heavy Baryons
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Molecular ${\Omega }_{cc}$ , ${\Omega }_{bb}$ and ${\Omega }_{bc}$ states
• Strong coupling constants of doubly heavy baryons with vector mesons in QCD
• QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes
• Strong Coupling Constants of the Doubly Heavy ${\Xi }_{QQ}$ Baryons with $\pi$ Meson
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{(\ast )}$
• Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Light quark decays of doubly heavy baryons in light front approach
• Inclusive weak-annihilation decays and lifetimes of beauty-charmed baryons
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Sigma }_{Q^{\prime }}^{\ast }$ Weak Decays
• Strong Coupling Constants of the Doubly Heavy Spin-1/2 Baryons with Light Pseudoscalar Mesons
• Spectrum of Light Hexaquark States in Triquark-antitriquark Configuration
• Semileptonic decays of doubly charmed baryons with bag model
• Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$
• Strong Vertices of Doubly Heavy Spin-3/2 Baryons with Light Pseudoscalar Mesons
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$
• Light cone QCD sum rules study of the rare radiative ${\Xi }_{bb}^{\ast }\to {\Xi }_b\gamma$ decay