TY - JOUR

T1 - Light-quark mass spectrum in quantum chromodynamics

AU - Langacker, Paul

AU - Pagels, Heinz

PY - 1979

Y1 - 1979

N2 - Quantum chromodynamics has placed the problem of hadronic symmetry breaking on a rational basis. The current-quark mass ratios can be shown to be renormalization-group invariants up to small and controllable corrections from flavor interactions. We calculate the mass ratios of the light u, d, and s quarks using the pseudoscalar-meson mass spectrum, the baryon mass spectrum, and the 3 decay. The main theoretical assumptions are that low-lying-resonance and Born terms correctly estimate the photonic contribution to isotopic mass splitting and that chiral perturbation theory equivalently kaon partial convervation of axialvector current correctly estimates chiral-symmetry breaking. Taking account of all leading-order chiral corrections to the meson spectrum and from the baryon spectrum and 3 decay we obtain mumd=0.380.13 and mdms=0.0450.011. We conclude that while a vanishing up-quark mass is not rigorously ruled out it is unattractive from the standpoint of the presently consistent phenomenology of hadronic symmetry breaking.

AB - Quantum chromodynamics has placed the problem of hadronic symmetry breaking on a rational basis. The current-quark mass ratios can be shown to be renormalization-group invariants up to small and controllable corrections from flavor interactions. We calculate the mass ratios of the light u, d, and s quarks using the pseudoscalar-meson mass spectrum, the baryon mass spectrum, and the 3 decay. The main theoretical assumptions are that low-lying-resonance and Born terms correctly estimate the photonic contribution to isotopic mass splitting and that chiral perturbation theory equivalently kaon partial convervation of axialvector current correctly estimates chiral-symmetry breaking. Taking account of all leading-order chiral corrections to the meson spectrum and from the baryon spectrum and 3 decay we obtain mumd=0.380.13 and mdms=0.0450.011. We conclude that while a vanishing up-quark mass is not rigorously ruled out it is unattractive from the standpoint of the presently consistent phenomenology of hadronic symmetry breaking.

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U2 - 10.1103/PhysRevD.19.2070

DO - 10.1103/PhysRevD.19.2070

M3 - Article

AN - SCOPUS:0002381183

SN - 1550-7998

VL - 19

SP - 2070

EP - 2079

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

IS - 7

ER -