We consider the chiral Lagrangian for charmed baryon fields with $J^P={\frac{1}{2}}^{+}$ or $J^P={\frac{3}{2}}^{+}$ quantum numbers. A chiral expansion framework for the baryon ground state masses is worked out to ${\mathrm{N}}^3\mathrm{LO}$ as to compute their dependence on the up, down and strange quark masses for finite box QCD lattice simulations. It is formulated in terms of on-shell meson and baryon masses. The convergence of such a scheme is illustrated with physical masses as taken from the Particle Data Group (PDG). The counter terms relevant at ${\mathrm{N}}^3\mathrm{LO}$ are correlated systematically by large-$N_c$ sum rules to leading and subleading order in a manner that keeps the renormalization scale invariance of the approach.

• Received 22 June 2018
• Corrected 25 October 2018

DOI:https://doi.org/10.1103/PhysRevD.98.054012

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Published by the American Physical Society