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.

Comments: 33 pages, correction of some misprints