A note on the determination of light quark masses

Details A note on the determination of light quark masses A note on the determination of light quark masses

2008-03-20

arxiv.org/abs/0803.2956v2

Phys.Rev.D78:034032,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 1 figure, updated version with all detailed formulas, title slighly changed

Scientific paper

10.1103/PhysRevD.78.034032

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. 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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