Light Quark Mass Spectrum in Quantum Chromodynamics
Jul, 197835 pages
Published in:
- Phys.Rev.D 19 (1979) 2070
Report number:
- Print-78-0726 (PRINCETON),
- DESY-78-33
View in:
Citations per year
Abstract: (APS)
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 η→3π 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 η→3π decay we obtain mumd=0.38±0.13 and mdms=0.045±0.011. 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.- QUANTUM CHROMODYNAMICS
- QUARK: MASS SPECTRUM
- QUARK: FLAVOR
- RENORMALIZATION GROUP
- MASS: RATIO
- PSEUDOSCALAR MESON: MASS SPECTRUM
- BARYON: MASS SPECTRUM
- ETA(549): NONLEPTONIC DECAY
- NONLEPTONIC DECAY: ETA(549)
- PI: FINAL STATE
References(46)
Figures(0)