Determination of light quark masses from {eta}{yields}3{pi}{sup 0}
- Universite de Lyon, IPNL, CNRS/IN2P3, 4 rue E. Fermi 69622 Villeurbanne cedex (France)
- Universitat Politecnica de Catalunya, Department de Fisica i Enginyeria Nuclear, Comte Urgell 187, E-08036 Barcelona (Spain)
We provide a model-independent determination of the quantity B{sub 0}(m{sub d}-m{sub u}). Our approach rests only on chiral symmetry and data from the decay of the eta into three neutral pions. Since the low-energy prediction at next-to-leading order fails to reproduce the experimental results, we keep the strong interaction correction as an unknown parameter. As a first step, we relate this parameter to the quark mass difference using data from the Dalitz plot. A similar relation is obtained using data from the decay width. Combining both relations we obtain B{sub 0}(m{sub d}-m{sub u})=(4495{+-}440) MeV{sup 2}. The preceding value, combined with lattice determinations, leads to the values m{sub u}(2 GeV)=(2.9{+-}0.8) MeV and m{sub d}(2 GeV)=(4.7{+-}0.8) MeV.
- OSTI ID:
- 21250636
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 3; Other Information: DOI: 10.1103/PhysRevD.78.034032; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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