author:
- 'M.F.M. Lutz'
- Yonggoo Heo
- 'and Xiao-Yu Guo'
bibliography:
- 'literature.bib'
title: 'On the convergence of the chiral expansion for the baryon ground-state masses'
---

Introduction
============

By now there is large set of QCD lattice data on the lowest baryon masses composed of up, down and strange quarks and with $J^P = \frac{1}{2}^+$ and $\frac{3}{2}^+$ [@MILC2004; @LHPC2008; @PACS-CS2008; @HSC2008; @BMW2008; @Alexandrou:2009qu; @Durr:2011mp; @WalkerLoud:2011ab; @NPLQCD:2011; @Andersen:2017una]. The recent and unexpected success of a quantitative description of this data set based on the chiral three-flavour Lagrangian [@Semke:2012gs; @Lutz:2013kq; @Lutz:2014oxa; @Ren:2013dzt; @Ren:2013oaa] makes it paramount to unravel further the chiral convergence domain of this sector of QCD. It is an important question how small the quark masses have to be chosen as to render a chiral expansion framework meaningful in the flavour $SU(3)$ case. Based on two flavour studies of the nucleon mass the power-counting domain (PCD) was estimated in various studies to be as low at $m_\pi < $ 200 MeV$-$300 MeV [@Young:2002ib; @Leinweber:2003dg; @Beane:2004ks; @Leinweber:2005xz; @McGovern:2006fm; @Djukanovic:2006xc; @Schindler:2007dr; @Hall:2010ai]. Due to the important role played by the baryon decuplet fields it is not quite straight forward to conduct such studies in the three flavour case. In the 