Octet baryon masses and sigma terms from an SU(3) chiral extrapolation

By R. Young, A. W. Thomas. 2009

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We analyze the consequences of the remarkable new results for octet baryon masses calculated in 2+1- avour lattice QCD using a low-order expansion about the SU(3) chiral limit. We demonstrate that, even though the simulation results are clearly beyond the power-counting regime, the description of the lattice results by a low-order expansion can be significantly improved by allowing the regularisation scale of the effective field theory to be determined by the lattice data itself. The model dependence of our analysis is demonstrated to be small compared with the present statistical precision. In addition to the extrapolation of the absolute values of the baryon masses, this analysis provides a method to solve the difficult problem of fine-tuning the strange-quark mass. We also report a determination of the sigma terms for all of the octet baryons, including an accurate value of the pion-nucleon sigma term and the first determination of the strangeness sigma term based on 2+1-flavour l

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2089583a945958a0baaf19fa22fe9e035b015022

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Citations in the corpus

Focus Point Supersymmetry Redux (2011, background): “However, two recent lattice studies have found much smaller values for fs [49, 50], with an average of fs ≈ 0.”
Electric dipole moments in two-Higgs-doublet models (2013, background): “Recent lattice studies [93–96] (see also [97–101]) indicate a smaller value for κ than assumed previously (see e.”
STUDIES OF NUCLEON RESONANCE STRUCTURE IN EXCLUSIVE MESON ELECTROPRODUCTION (2012, background): “Some have imagined that the non-valence s-quarks produce a non-negligible contribution but it is str aightforward to estimate [80, 105]”
micrOMEGAs_3: A program for calculating dark matter observables (2013, unknown): “σs (MeV) σπN (MeV) Reference 8± 21 [79] 43± 10 [80] 54± 8 [81] 22± 37 [79] 31± 16 50± 10 [82] 34 −27 42 +21 −6 [83] 70± 68 31± 5 [84] 22± 20 32± 2 [85] 21 −6 45± 6 [86] 125± 59 43± 6 [87] 50± 18 [88] 37± 10 [89]”
FLAG Review 2019 (2019, methodology): “Also shown for comparison in the figures are determinations from the FH method which utilize more than one lattice data set [454, 455, 949, 954–960] as well as results for σπN obtained from recent analyses of π-N scattering [940–942, 961].”