Document Type

Article

Publication Date

6-4-2021

Department

Engineering

Keywords

quantum chromodynamics, quark model, strong interaction, strange quark, chiral symmetry, flavor symmetries

Abstract

Correlations between the strange quark mass, strange quark condensate ⟨¯ss⟩, and the kaon partially conserved axial current (PCAC) relation are developed. The key dimensionless and renormalization-group invariant quantities in these correlations are the ratio of the strange to nonstrange quark mass rm=ms/mq, the condensate ratio rc=⟨¯ss⟩/⟨¯qq⟩, and the kaon PCAC deviation parameter rp=−ms⟨¯ss+¯qq⟩/2f2Km2K. The correlations define a self-consistent trajectory in the {rm,rc,rp} parameter space constraining strange quark parameters that can be used to assess the compatibility of different predictions of these parameters. Combining the constraint with Particle Data Group (PDG) values of rm results in {rc,rp} constraint trajectories that are used to assess the self-consistency of various theoretical determinations of {rc,rp}. The most precise determinations of rc and rp are shown to be mutually consistent with the constraint trajectories and provide improved bounds on rp. In general, the constraint trajectories combined with rc determinations tend to provide more accurate bounds on rp than direct determinations. The {rc,rp} correlations provide a natural identification of a self-consistent set of strange quark mass and strange quark condensate parameters.

Source Publication Title

Physical Review D

Publisher

American Physical Society

Volume

103

Issue

11

First Page

114005

DOI

10.1103/PhysRevD.103.114005

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