English

Setting the Scale Using Baryon Masses with Isospin-Breaking Corrections

High Energy Physics - Lattice 2022-12-15 v1

Abstract

We present the status of an ongoing project aimed at the inclusion of isospin-breaking corrections arising from the non-degeneracy of the light quark masses and electromagnetic interactions in calculations of the low-lying octet and decuplet baryon masses. Our ultimate goal is to perform a precision determination of the lattice scale including isospin-breaking effects. We apply the perturbative formalism to isospin-symmetric Nf=2+1N_f=2+1 CLS ensembles. We show results on baryon masses up to leading order in isospin-breaking corrections on two ensembles with mπ290MeVm_\pi\approx290\,\text{MeV} and mπ215MeVm_\pi\approx215\,\text{MeV} at a lattice spacing of a0.076fma\approx0.076\,\text{fm}.

Keywords

Cite

@article{arxiv.2212.07176,
  title  = {Setting the Scale Using Baryon Masses with Isospin-Breaking Corrections},
  author = {Alexander M. Segner and Andrew D. Hanlon and Andreas Risch and Hartmut Wittig},
  journal= {arXiv preprint arXiv:2212.07176},
  year   = {2022}
}
R2 v1 2026-06-28T07:34:15.855Z