4.7 Article

Determination of light quark masses from η→3π0

Journal

PHYSICAL REVIEW D
Volume 78, Issue 3, Pages -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.78.034032

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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) MeV2. The preceding value, combined with lattice determinations, leads to the values m(u)(2 GeV) = (2.9 +/- 0.8) MeV and m(d)(2 GeV) = (4.7 +/- 0.8) MeV.

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