quark masses. While at present such simulations are not available one may explore that chiral power counting domain of QCD by analyzing extrapolation studies of the current lattice data set.

The bubble-loop contributions to the baryon masses 
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We take the most comprehensive analysis [@Lutz:2014oxa] that is based on relativistic kinematics and the use of physical masses in the loop expressions. This will serve as our starting point to reconsider the convergence properties of the chiral expansion for the baryon octet and decuplet masses with three light flavours. We will scrutinize further the particular summation scheme that is implied by the use of physical baryon and meson masses inside the one-loop expressions. In a more conventional scheme for such masses approximate values are assumed. For a rapidly converging system either of the two approaches is fine. In contrast, for a slowly converging system a summation scheme can be of advantage even though this may imply some model dependence. The target of this and the following sections is to decompose the one-loop expressions for the baryon self energies into chiral moments, which may depend on physical meson and baryon masses.

The one-loop self energy of a baryon of type $B$, 