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Correlations Between The Strange Quark Condensate, Strange Quark Mass, And Kaon Pcac Relation, Derek Harnett, Jason N.E. Ho, Tom G. Steele
Correlations Between The Strange Quark Condensate, Strange Quark Mass, And Kaon Pcac Relation, Derek Harnett, Jason N.E. Ho, Tom G. Steele
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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 …