distinct mass differences is rather small. The estimate of the parameter $b_0$ and $d_0 $ requires additional input. If we insist on the leading chiral moments of the baryon masses as deduced recently from a comprehensive analysis of the available lattice data [@Lutz:2014oxa] we obtain the estimates $$\begin{aligned}
&& \qquad  M= M^{(0)}_N \simeq 800 \,{\rm MeV}  \qquad \qquad M+ \Delta = M^{(0)}_\Delta \simeq 1100 \,{\rm MeV} \,,
\nonumber\\
\rightarrow &&\qquad  b_0 \simeq -0.39\,{\rm GeV}^{-1} \,, \qquad \qquad \quad d_0 \simeq -0.11\,{\rm GeV}^{-1} \,.
\label{parameters-Q2B} \end{aligned}$$ All together at this order the physical baryon masses can be reproduced with an uncertainty of 3.1 MeV and 3.5 MeV for the octet and decuplet states respectively.

Yet, it is well known that the loop contributions to the baryon masses that arise in a strict chiral expansion are very large - much too large as to suggest a convincing expansion pattern convergent at physical quark masses [@Bernard:1993nj; @Banerjee:1994bk; @Banerjee:1995wz; @Lehnhart2004; @Semke2005]. Thus the above parameter estimate, despite its deceiving success, may not to be very reliable. Nevertheless, such parameters play an important role in low-energy QCD. In principle they can be extracted from 3-flavour QCD lattice data at sufficiently small up, down and strange 