### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 2070-2079 |

Number of pages | 10 |

Journal | Physical Review D |

Volume | 19 |

Issue number | 7 |

DOIs | |

State | Published - 1979 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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## Cite this

*Physical Review D*,

*19*(7), 2070-2079. https://doi.org/10.1103/PhysRevD.19.2070