Quark-mass dependence of the baryon ground-state masses

Abstract

We perform a chiral extrapolation of the baryon octet and decuplet masses in a relativistic formulation of chiral perturbation theory. A partial summation is assumed as implied by the use of physical baryon and meson masses in the one-loop diagrams. Upon a chiral expansion, our results are consistent with strict chiral perturbation theory at the next-to-next-to-next-to-leading order.All counter terms are correlated by a large-N c operator analysis. Our results are confronted with recent results of unquenched three-flavor lattice simulations. We adjust the parameter set to the pion-mass dependence of the nucleon and omega masses as computed by the BMW Collaboration and predict the pion-mass dependence of the remaining baryon octet and decuplet states. The current lattice simulations can be described accurately and smoothly up to pion masses of about 600 MeV. In particular, we recover the recent results of HSC without any further adjustments.

Strangeness in the baryon ground states

“…The details of the approach are published in [9,10,11,12,13]. The chiral extrapolation of baryon masses with strangeness content is critically discussed in the literature [14,15,10,2,16,17,18,19,11,7].…”

“…A crucial element of our scheme is the use of physical baryon masses in the one-loop contribution to the baryon self energies. Furthermore, the low-energy constants required at N 3 LO are estimated by sum rules that follow from QCD in the limit of a large number of colors (N c ) [20,11]. Since we obtain a simultaneous and quantitative description of the lattice data of the BMW, PACS-CS, LHPC, HSC and QCDSF-UKQCD groups, we find it justified to present detailed results on the strange-quark mass dependence of all members of the baryon octet and decuplet states.…”

Octet baryon masses in covariant baryon chiral perturbation theory up to O(p^4)

“…Chiral perturbation theory (ChPT) [12,13], as an effective field theory of low-energy QCD, provides a model independent framework to study the light-quark mass dependence (chiral extrapolation) [14,15,16,17,18,19,20,21], finite-volume corrections (FVCs) [22,23,24,25,26,27], and continuum extrapolations [28,29,30] to LQCD data.…”

Baryon chiral perturbation theory with Wilson fermions up to $${\mathcal {O}}(a^2)$$ O ( a 2 ) and discretization effects of latest $$n_f=2+1$$ n f = 2 + 1 LQCD octet baryon masses

“…The ground-state octet baryon masses might be one of the simplest observables to simulate in such a setting and serve as a benchmark for more sophisticated studies [58][59][60][61][62][63][64][65][66]. Many theoretical studies have been performed not only to understand the chiral extrapolations of and the finite-volume corrections to these simulations, but also to determine the many unknown LECs appearing in ChPT up to next-to-nextto-next-to-leading order (N 3 LO) [60,[67][68][69][70][71][72][73][74][75][76]. In Ref.…”