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Determination of light quark masses from eta-->3pi0

Abstract : We provide a model-independent determination of the quantity B_0(m_d-m_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_0(m_d-m_u)=(4495 +/- 440) MeV^2. We use the preceding value to estimate the size of the violation of Dashen's theorem and the quark mass ratio m_u/m_d.
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Contributor : Sylvie Flores <>
Submitted on : Wednesday, April 9, 2008 - 1:43:56 PM
Last modification on : Thursday, June 17, 2021 - 3:18:41 PM

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A. Deandrea, A. Nehme, P. Talavera. Determination of light quark masses from eta-->3pi0. Physical Review D, American Physical Society, 2008, 78, pp.034032. ⟨10.1103/PhysRevD.78.034032⟩. ⟨in2p3-00271540⟩



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