A framework for the chiral extrapolation of the charmed baryon ground-state masses

Abstract

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 N${}^3$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 PDG. The counter terms relevant at N${}^3$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.

33 pages, correction of some misprints

References in corpus (5)

• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• On the convergence of the chiral expansion for the baryon ground-state masses
• Mass and axial charge of heavy baryons
• On the chiral expansion of vector meson masses
• Large-N_c sum rules for charmed baryons at subleading orders

Cited by in corpus (4)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• Low-energy constants from charmed baryons on QCD lattices