Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory

Abstract

We calculate the masses and sigma terms of the doubly charmed baryons up to next-to-next-to-next-to-leading order (i.e., $\mathcal{O}(p^4)$) in a covariant baryon chiral perturbation theory by using the extended-on-mass-shell renormalization scheme. Their expressions both in infinite and finite volumes are provided for chiral extrapolation in lattice QCD. As a first application, our chiral results of the masses are confronted with the existing lattice QCD data in the presence of finite volume corrections. Up to $\mathcal{O}(p^3)$ all relevant low energy constants can be well determined. As a consequence, we obtain the physical values for the masses of ${\Xi }_{cc}$ and ${\Omega }_{cc}$ baryons by extrapolating to the physical limit. Our determination of the ${\Xi }_{cc}$ mass is consistent with the recent experimental value by LHCb collaboration, however, larger than the one by SELEX collaboration. In addition, we predict the pion-baryon and strangeness-baryon sigma terms, as well as the mass splitting between the ${\Xi }_{cc}$ and ${\Omega }_{cc}$ states. Their quark mass dependences are also discussed. The numerical procedure can be applied to the chiral results of $\mathcal{O}(p^4)$ order, where more unknown constants are involved, when more data are available for unphysical pion masses.

arXiv comment12 pages, 6 figures and 3 tables

References in corpus (53)

• Chiral Dynamics in Nucleons and Nuclei
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Chiral Perturbation Theory and Baryon Properties
• Charmed bottom baryon spectroscopy from lattice QCD
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Baryons with two heavy quarks: Masses, production, decays, and detection
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• The chiral effective pion-nucleon Lagrangian of order p^4
• Mesonic low-energy constants
• Matching Heavy Particle Approach to Relativistic Theory
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• The pion mass in finite volume
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Charmed baryons at the physical point in 2+1 flavor lattice QCD
• Charmed-Baryon Spectroscopy from Lattice QCD with N_f=2+1+1 Flavors
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Baryon Axial Charge in a Finite Volume
• Strong and radiative decays of the doubly charmed baryons
• Search for the doubly charmed baryon Xi_cc^+
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Spectroscopy of Doubly-Charmed Baryons in Lattice QCD
• Electromagnetic form factors of the nucleon in relativistic baryon chiral perturbation theory
• Scalar strangeness content of the nucleon and baryon sigma terms
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Magnetic moments of the doubly charmed and bottomed baryons
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Isospin splittings in baryons with two heavy quarks
• Strange and charm baryon masses with two flavors of dynamical twisted mass fermions
• Is Heavy Baryon Approach Necessary?
• The masses and axial currents of the doubly charmed baryons
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme
• A Derivative of the Gerasimov-Drell-Hearn Sum Rule
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• Baryon chiral perturbation theory: an update

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• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
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• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• 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
• The Status of ${\Xi }_{cc}^{++}$ Baryon: investigating quark-diquark model
• Magnetic moments of the spin-1/2 singly charmed baryons in covariant baryon chiral perturbation theory
• 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
• Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons
• Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons
• Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$
• Strong decays of the low-lying doubly bottom baryons
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Chiral corrections to the masses of the doubly heavy baryons
• Electromagnetic Structure of Spin-$\frac{1}{2}$ Doubly Charmed Baryons in Lattice QCD
• Strong Coupling Constants of the Doubly Heavy Spin-1/2 Baryons with Light Pseudoscalar Mesons
• A unified formulation of one-loop tensor integrals for finite volume effects
• Semileptonic decays of doubly charmed baryons with bag model
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• 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 ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$