A note on the determination of light quark masses

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. 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.

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

References in corpus (13)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• The ratios of the light quark masses
• Virtual Photons in Chiral Perturbation Theory
• Dispersive analysis of the decay eta -> 3 pi
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
• Hadronic eta and eta-prime decays
• Implications of eta-etaprime mixing for the decay eta->3 pi
• Electromagnetic Corrections to the decays $\eta \to 3\pi$
• Allowed Eta Decay Modes and Chiral Symmetry

Cited by in corpus (7)

• Chiral expansions of the pi0 lifetime
• Electromagnetic corrections in eta --> 3 pi decays
• Measurement of the eta->3pi0 Dalitz Plot Distribution with the WASA Detector at COSY
• Predictions for the cusp in eta->3pi0 decay
• $\eta$ and ${\eta }^{\prime }$ Physics at BES-III
• Measurement of the absolute branching fractions of Jpsi to gamma eta and eta decay modes
• Comment on `Determination of light quark masses from $\eta \to 3{\pi }^0$'